{ "cells": [ { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "# A first test case with SHARPy\n", "This notebook explains how to create a prismatic cantilever and flexible wing in SHARPy. It aims to provide a big picture about the simulations available in SHARPy describing the very fundamental concepts. \n", "\n", "This notebook requires around two hours to be completed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generation of the aeroelastic model\n", "This section explains how to generate the input files for SHARPy including the structure, the aerodynamics and the simulation details." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Loading of the used packages\n", "import numpy as np # basic mathematical and array functions\n", "import os # Functions related to the operating system\n", "import matplotlib.pyplot as plt # Plotting library\n", "\n", "import sharpy.sharpy_main # Run SHARPy inside jupyter notebooks\n", "import sharpy.utils.plotutils as pu # Plotting utilities\n", "from sharpy.utils.constants import deg2rad # Constant to conver degrees to radians\n", "\n", "import sharpy.utils.generate_cases as gc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [generate cases](https://ic-sharpy.readthedocs.io/en/main/includes/utils/generate_cases/index.html) module of SHARPy includes a number of templates for the creation of simple cases using common parameters as inputs. It also removes clutter from this notebook.\n", "\n", "The following cell configures the plotting library to show the next graphics, it is not part of SHARPy." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "! pip install plotly" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define the problem parameters\n", "In this section, we define the basic parameters to generate a model for the wing shown in the image below. We use SI units for all variables." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%config InlineBackend.figure_format = 'svg'\n", "from IPython.display import Image\n", "url = ('https://raw.githubusercontent.com/ImperialCollegeLondon/sharpy/dev_example/docs/' + \n", " 'source/content/example_notebooks/images/simple_wing_scheme.png')\n", "Image(url=url, width=800)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Geometry\n", "chord = 1. # Chord of the wing | Set to 1 by default\n", "aspect_ratio = 16. # Ratio between lenght and chord: aspect_ratio = length/chord | Set to 16 by default\n", "wake_length = 50 # Length of the wake in chord lengths | Set to 50 by default\n", "\n", "# Discretization\n", "num_node = 21 # Number of nodes in the structural discretisation\n", " # The number of nodes will also define the aerodynamic panels in the \n", " # spanwise direction | Set to 21 by default\n", "num_chord_panels = 4 # Number of aerodynamic panels in the chordwise direction | Set to 4 by default\n", "num_points_camber = 200 # The camber line of the wing will be defined by a series of (x,y)\n", " # coordintes. Here, we define the size of the (x,y) vectors | Set to 200 by default\n", "\n", "# Structural properties of the beam cross section\n", "mass_per_unit_length = 0.75 # Mass per unit length | Set to 0.75 by default\n", "mass_iner_x = 0.1 # Mass inertia around the local x axis | Set to 0.1 by default\n", "mass_iner_y = 0.05 # Mass inertia around the local y axis | Set to 0.05 by default\n", "mass_iner_z = 0.05 # Mass inertia around the local z axis | Set to 0.05 by default\n", "pos_cg_B = np.zeros((3)) # position of the centre of mass with respect to the elastic axis\n", "EA = 1e7 # Axial stiffness | Set to 1e7 by default\n", "GAy = 1e6 # Shear stiffness in the local y axis | Set to 1e6 by default\n", "GAz = 1e6 # Shear stiffness in the local z axis | Set to 1e6 by default\n", "GJ = 1e4 # Torsional stiffness | Set to 1e4 by default\n", "EIy = 2e4 # Bending stiffness around the flapwise direction | Set to 2e4 by default\n", "EIz = 5e6 # Bending stiffness around the edgewise direction | Set to 5e6 by default\n", "\n", "# Operation\n", "WSP = 2.0 # Wind speed | Set to 2.0 by default\n", "air_density = 0.1 # Air density | Set to 0.1 by default\n", "\n", "# Time discretization\n", "end_time = 5.0 # End time of the simulation | Set to 5.0 by default\n", "dt = chord/num_chord_panels/WSP # Always keep one timestep per panel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we are going to compute the static equilibrium of the wing at an angle of attack (``aoa_ini_deg``). Next, we will change the angle of attack to ``aoa_end_deg`` and we will compute the dynamic response of the wing. Keep in mind we are not changing the angle of attack of the wing itself in these simulations but of the wind flowing toward it, which has the same effect." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "aoa_ini_deg = 2. # Angle of attack at the beginning of the simulation | Set to 2 by default\n", "aoa_end_deg = 1. # Angle of attack at the end of the simulation | Set to 1 by default" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For now, we keep the size of the wake panels equal to the distance covered by the flow in one time step. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Structural model\n", "\n", "This section creates a class called ``AeroelasticInformation``. This class is not directly used by SHARPy, it can be thought of as an intermediate step between common engineering inputs and the input information that SHARPy needs. \n", "\n", "It has many functionalities (rotate objects, assembly simple strucures together ...) which can be looked up in the [documentation](https://ic-sharpy.readthedocs.io/en/main/includes/utils/generate_cases/index.html).\n", "\n", "Let's initialise an Aeroelastic system that will include a ``StructuralInformation`` class and an ``AerodynamicInformation`` class:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "wing = gc.AeroelasticInformation()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The attibutes that have to be defined (not all of them are compulsory) can be displayed with the code below. They constitute the input parameters to SHARPy and their names are intuitive, however, a complete description of the input variables to SHARPy can be found in the documentation: \n", "[structural inputs](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#fem-file) and [aerodynamic inputs](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#aerodynamics-file)\n", "\n", "For example, the structural properties are:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['num_node_elem', 'num_node', 'num_elem', 'coordinates', 'connectivities', 'elem_stiffness', 'stiffness_db', 'elem_mass', 'mass_db', 'frame_of_reference_delta', 'structural_twist', 'boundary_conditions', 'beam_number', 'body_number', 'app_forces', 'lumped_mass_nodes', 'lumped_mass', 'lumped_mass_inertia', 'lumped_mass_position', 'lumped_mass_mat', 'lumped_mass_mat_nodes'])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wing.StructuralInformation.__dict__.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, the connectivities between the nodes required by the finite element solver are empty so far:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "None\n" ] } ], "source": [ "print(wing.StructuralInformation.connectivities)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a list of methods that allow us to modify the structure, Check the [documentation ](https://ic-sharpy.readthedocs.io/en/main/includes/utils/generate_cases/index.html).\n", "\n", "First, we need to define the basic characteristics of the equations as the number of nodes, the number of nodes per element, the number of elements and the location of the nodes in the space:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Define the number of nodes and the number of nodes per element\n", "wing.StructuralInformation.num_node = num_node\n", "wing.StructuralInformation.num_node_elem = 3\n", "# Compute the number of elements assuming basic connections\n", "wing.StructuralInformation.compute_basic_num_elem()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0. 0. 0. ]\n", " [ 0. 0.8 0. ]\n", " [ 0. 1.6 0. ]\n", " [ 0. 2.4 0. ]\n", " [ 0. 3.2 0. ]\n", " [ 0. 4. 0. ]\n", " [ 0. 4.8 0. ]\n", " [ 0. 5.6 0. ]\n", " [ 0. 6.4 0. ]\n", " [ 0. 7.2 0. ]\n", " [ 0. 8. 0. ]\n", " [ 0. 8.8 0. ]\n", " [ 0. 9.6 0. ]\n", " [ 0. 10.4 0. ]\n", " [ 0. 11.2 0. ]\n", " [ 0. 12. 0. ]\n", " [ 0. 12.8 0. ]\n", " [ 0. 13.6 0. ]\n", " [ 0. 14.4 0. ]\n", " [ 0. 15.2 0. ]\n", " [ 0. 16. 0. ]]\n" ] } ], "source": [ "# Generate an array with the location of the nodes\n", "node_r = np.zeros((num_node, 3))\n", "node_r[:,1] = np.linspace(0, chord*aspect_ratio, num_node)\n", "print(node_r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function creates a uniform beam from the previous parameters. On top of assigning the previous parameters, it defines other variables such as the connectivities between nodes." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "wing.StructuralInformation.generate_uniform_beam(node_r,\n", " mass_per_unit_length,\n", " mass_iner_x,\n", " mass_iner_y,\n", " mass_iner_z,\n", " pos_cg_B,\n", " EA,\n", " GAy,\n", " GAz,\n", " GJ,\n", " EIy,\n", " EIz,\n", " num_node_elem = wing.StructuralInformation.num_node_elem,\n", " y_BFoR = 'x_AFoR',\n", " num_lumped_mass=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we now show the connectivities between nodes, the function has created them for us. [Further information](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html?highlight=connectivities#fem-file)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0 2 1]\n", " [ 2 4 3]\n", " [ 4 6 5]\n", " [ 6 8 7]\n", " [ 8 10 9]\n", " [10 12 11]\n", " [12 14 13]\n", " [14 16 15]\n", " [16 18 17]\n", " [18 20 19]]\n" ] } ], "source": [ "print(wing.StructuralInformation.connectivities)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define the boundary conditions as clamped for node 0 and free for the last node (-1), where 1 denotes a clamped point and -1 denotes a free point. [Further information](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html?highlight=boundary#fem-file)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "wing.StructuralInformation.boundary_conditions[0] = 1\n", "wing.StructuralInformation.boundary_conditions[-1] = -1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aerodynamics\n", "We need to define the number of panels in the wake (``wake_panels``) and the camber line of the wing which, in this case, is flat. [Further information](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#aerodynamics-file)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Compute the number of panels in the wake (streamwise direction) based on the previous paramete\n", "wake_panels = int(wake_length*chord/dt)\n", "\n", "# Define the coordinates of the camber line of the wing\n", "wing_camber = np.zeros((1, num_points_camber, 2))\n", "wing_camber[0, :, 0] = np.linspace(0, 1, num_points_camber)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function creates an aerodynamic surface uniform on top of the beam that we have already created." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Generate blade aerodynamics\n", "wing.AerodynamicInformation.create_one_uniform_aerodynamics(wing.StructuralInformation,\n", " chord = chord,\n", " twist = 0.,\n", " sweep = 0.,\n", " num_chord_panels = num_chord_panels,\n", " m_distribution = 'uniform',\n", " elastic_axis = 0.5,\n", " num_points_camber = num_points_camber,\n", " airfoil = wing_camber)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summary\n", "Now, we have all the inputs that we need for SHARPy. In this section, a first simulation with SHARPy is run. However, it will perform no computation, it will just load the data so we can plot the system we have just created.\n", "\n", "SHARPy runs a series of [solvers](https://ic-sharpy.readthedocs.io/en/main/content/solvers.html) and [postprocessors](https://ic-sharpy.readthedocs.io/en/main/content/postproc.html) in the order indicated by the ``flow`` variable in the ``SHARPy`` dictionary.\n", "\n", "The ``generate cases`` module also allows us to show all the avaiable solvers and all the parameters they accept as inputs. To do so, we need to run the following commands:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_BaseStructural\n", "AerogridLoader\n", "BeamLoader\n", "DynamicCoupled\n", "DynamicUVLM\n", "InitialAeroelasticLoader\n", "LinDynamicSim\n", "LinearAssembler\n", "Modal\n", "NoAero\n", "NonLinearDynamic\n", "NonLinearDynamicCoupledStep\n", "NonLinearDynamicMultibody\n", "NonLinearDynamicPrescribedStep\n", "NonLinearStatic\n", "NoStructural\n", "PrescribedUvlm\n", "RigidDynamicCoupledStep\n", "RigidDynamicPrescribedStep\n", "StaticCoupled\n", "StaticTrim\n", "StaticUvlm\n", "StepLinearUVLM\n", "StepUvlm\n", "_BaseTimeIntegrator\n", "NewmarkBeta\n", "GeneralisedAlpha\n", "Trim\n", "UpdatePickle\n", "StabilityDerivatives\n", "WriteVariablesTime\n", "SHARPy\n", "SaveData\n", "BeamLoads\n", "UDPout\n", "SaveParametricCase\n", "AerogridPlot\n", "Cleanup\n", "PlotFlowField\n", "FrequencyResponse\n", "AsymptoticStability\n", "LiftDistribution\n", "AeroForcesCalculator\n", "StallCheck\n", "BeamPlot\n", "PickleData\n", "DynamicControlSurface\n", "FloatingForces\n", "TurbVelocityField\n", "TrajectoryGenerator\n", "PolarCorrection\n", "EfficiencyCorrection\n", "ModifyStructure\n", "GustVelocityField\n", "SteadyVelocityField\n", "HelicoidalWake\n", "BumpVelocityField\n", "GridBox\n", "StraightWake\n", "TurbVelocityFieldBts\n", "ShearVelocityField\n", "BladePitchPid\n", "ControlSurfacePidController\n", "TakeOffTrajectoryController\n" ] } ], "source": [ "# Gather data about available solvers\n", "SimInfo = gc.SimulationInformation() # Initialises the SimulationInformation class\n", "SimInfo.set_default_values() # Assigns the default values to all the solvers\n", "\n", "# Print the available solvers and postprocessors\n", "for key in SimInfo.solvers.keys():\n", " print(key)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example, let's print the input parameters of the ``BeamLoader`` solver. This solver is in charge of loading the structural infromation." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'unsteady': True, 'orientation': [1.0, 0, 0, 0], 'for_pos': [0.0, 0, 0]}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SimInfo.solvers['BeamLoader']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following dictionary defines the basic inputs of SHARPy including the solvers to be run (``flow`` variable), the case name and the route in the file system. In this case we are turning off the screen output because we are not running any computation; it is useless." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',\n", " 'AerogridLoader']\n", "\n", "SimInfo.solvers['SHARPy']['case'] = 'plot'\n", "SimInfo.solvers['SHARPy']['route'] = './'\n", "SimInfo.solvers['SHARPy']['write_screen'] = 'off'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do not modify any of the default input paramteters in ``BeamLoader`` but we need to define the initial wake shape that we want and its size (``wake_panels``)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "SimInfo.solvers['AerogridLoader']['unsteady'] = 'on'\n", "SimInfo.solvers['AerogridLoader']['mstar'] = wake_panels\n", "SimInfo.solvers['AerogridLoader']['freestream_dir'] = np.array([1.,0.,0.])\n", "SimInfo.solvers['AerogridLoader']['wake_shape_generator'] = 'StraightWake'\n", "SimInfo.solvers['AerogridLoader']['wake_shape_generator_input'] = {'u_inf': WSP,\n", " 'u_inf_direction' : np.array(\n", " [np.cos(aoa_ini_deg*deg2rad),\n", " 0.,\n", " np.sin(aoa_ini_deg*deg2rad)]),\n", " 'dt': dt}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following functions write the input files needed by SHARPy." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "gc.clean_test_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n", "wing.generate_h5_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n", "SimInfo.generate_solver_file()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following line of code runs SHARPy inside of jupyter notebook. It is equivalent to running this in a terminal, with: ``sharpy plot.sharpy`` being \"plot\", the case name defined above." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "fatal: not a git repository (or any of the parent directories): .git\n" ] } ], "source": [ "sharpy_output = sharpy.sharpy_main.main(['',\n", " SimInfo.solvers['SHARPy']['route'] +\n", " SimInfo.solvers['SHARPy']['case'] +\n", " '.sharpy'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the case we have created. The function below provides a quick way of generating an interactive plot but it is not suitable for large cases. Luckily SHARPy has other more complex plotting capabilities.\n", "\n", "If you download the original [jupyter notebook](https://ic-sharpy.readthedocs.io/en/main/content/examples.html), change the geometric parameters above and rerun the notebook, you will see its impact on the geometry.\n", "\n", "In our simulations only the first 6 wake panels are plotted for the sake of efficiency. This can be changed by changing the number within ```minus_mstar```.\n", "\n", "Setting ```plotly``` to ```False``` will not plot a graph.\n", "\n", "```custom_scaling``` is a toggleable feature that realistically models the wing's aspect ratio and compresses the z axis. It is disabled by default.\n", "\n", "If ```custom_scaling``` is toggled on,```z_compression``` determines how compressed the z axis is. By default this is set to 0.5." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "grey" }, "mode": "lines", "name": "Aero surface", "surfaceaxis": 2, "type": "scatter3d", "x": [ -0.4375000000000001, -0.18750000000000006, -0.18750000000000006, -0.4375000000000001, -0.4375000000000001 ], "y": [ -7.126160546901204e-18, -3.054068805814802e-18, 0.8, 0.8, -7.126160546901204e-18 ], "z": [ -3.7885577460302824e-17, -1.6236676054415498e-17, -1.6236676054415498e-17, -3.7885577460302824e-17, -3.7885577460302824e-17 ] }, { "line": { "color": "grey" }, "mode": "lines", "showlegend": false, "surfaceaxis": 2, "type": "scatter3d", "x": [ -0.4375000000000001, -0.18750000000000006, -0.18750000000000006, -0.4375000000000001, -0.4375000000000001 ], "y": [ 0.8, 0.8, 1.6, 1.6, 0.8 ], "z": [ -3.7885577460302824e-17, -1.6236676054415498e-17, -1.6236676054415498e-17, -3.7885577460302824e-17, -3.7885577460302824e-17 ] }, { "line": { "color": "grey" }, "mode": "lines", "showlegend": false, "surfaceaxis": 2, "type": "scatter3d", "x": [ -0.4375000000000001, -0.18750000000000006, -0.18750000000000006, -0.4375000000000001, -0.4375000000000001 ], "y": [ 1.6, 1.6, 2.4000000000000004, 2.4000000000000004, 1.6 ], "z": [ -3.7885577460302824e-17, -1.6236676054415498e-17, -1.6236676054415498e-17, -3.7885577460302824e-17, -3.7885577460302824e-17 ] }, { "line": { "color": "grey" }, "mode": "lines", "showlegend": false, "surfaceaxis": 2, "type": "scatter3d", "x": [ -0.4375000000000001, -0.18750000000000006, -0.18750000000000006, -0.4375000000000001, -0.4375000000000001 ], "y": [ 2.4000000000000004, 2.4000000000000004, 3.2, 3.2, 2.4000000000000004 ], "z": [ -3.7885577460302824e-17, -1.6236676054415498e-17, -1.6236676054415498e-17, -3.7885577460302824e-17, 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"text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pu.plot_timestep(sharpy_output, tstep=-1, minus_mstar=(wake_panels - 6), plotly=True,custom_scaling=False,z_compression=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Static simulation\n", "Next, we will run a static simulation of the previous system. We have already defined the required inputs for ``BeamLoader`` and ``AerogridLoader`` but we need to define the static solvers. We are going to use an FSI solver (``StaticCoupled``) that will include a structural solver (``NonLinearStatic``) and aerodynamic solver (``StaticUvlm``). \n", "\n", "We will use most of the default values but redefine some of them:\n", "- We assign the air density to all the solvers that need it\n", "- We turn off the gravity on the structural solver\n", "- We use a horseshoe solution without roll up for the aerodynamics\n", "- We define the velocity field against the wing\n", "- We do not use load steps in the FSI solver\n", "\n", "In the documentation you can find further information about the [modular framework](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#modular-framework) and about the [solvers](https://ic-sharpy.readthedocs.io/en/main/content/solvers.html) and their inputs. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Define the simulation\n", "SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',\n", " 'AerogridLoader',\n", " 'StaticCoupled']\n", "\n", "SimInfo.set_variable_all_dicts('rho', air_density)\n", "\n", "SimInfo.solvers['SHARPy']['case'] = 'static'\n", "SimInfo.solvers['SHARPy']['write_screen'] = 'on'\n", "\n", "SimInfo.solvers['NonLinearStatic']['gravity_on'] = False\n", "\n", "SimInfo.solvers['StaticUvlm']['horseshoe'] = True\n", "SimInfo.solvers['StaticUvlm']['n_rollup'] = 0\n", "SimInfo.solvers['StaticUvlm']['velocity_field_generator'] = 'SteadyVelocityField'\n", "SimInfo.solvers['StaticUvlm']['velocity_field_input'] = {'u_inf' : WSP,\n", " 'u_inf_direction' : np.array(\n", " [np.cos(aoa_ini_deg*deg2rad),\n", " 0.,\n", " np.sin(aoa_ini_deg*deg2rad)])}\n", "\n", "SimInfo.solvers['StaticCoupled']['structural_solver'] = 'NonLinearStatic'\n", "SimInfo.solvers['StaticCoupled']['structural_solver_settings'] = SimInfo.solvers['NonLinearStatic']\n", "SimInfo.solvers['StaticCoupled']['aero_solver'] = 'StaticUvlm'\n", "SimInfo.solvers['StaticCoupled']['aero_solver_settings'] = SimInfo.solvers['StaticUvlm']\n", "SimInfo.solvers['StaticCoupled']['n_load_steps'] = 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following functions create the input files required by SHARPy. For further information check:\n", "- [Configuration file](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#solver-configuration-file)\n", "- [FEM input file](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#fem-file)\n", "- [Aerodynamic input file](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html#aerodynamics-file)\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "gc.clean_test_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n", "SimInfo.generate_solver_file()\n", "wing.generate_h5_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------------------------------------\u001b[0m\n", " ###### ## ## ### ######## ######## ## ##\u001b[0m\n", " ## ## ## ## ## ## ## ## ## ## ## ##\u001b[0m\n", " ## ## ## ## ## ## ## ## ## ####\u001b[0m\n", " ###### ######### ## ## ######## ######## ##\u001b[0m\n", " ## ## ## ######### ## ## ## ##\u001b[0m\n", " ## ## ## ## ## ## ## ## ## ##\u001b[0m\n", " ###### ## ## ## ## ## ## ## ##\u001b[0m\n", "--------------------------------------------------------------------------------\u001b[0m\n", "Aeroelastics Lab, Aeronautics Department.\u001b[0m\n", " Copyright (c), Imperial College London.\u001b[0m\n", " All rights reserved.\u001b[0m\n", " License available at https://github.com/imperialcollegelondon/sharpy\u001b[0m\n", "\u001b[36mRunning SHARPy from /home/loca/Downloads/sharpy copy/sharpy/docs/source/content/example_notebooks\u001b[0m\n", "\u001b[36mSHARPy being run is in /home/loca/anaconda3/envs/sharpy/lib/python3.10/site-packages\u001b[0m\n", "SHARPy output folder set\u001b[0m\n", "\u001b[34m\t./output//static/\u001b[0m\n", "\u001b[36mGenerating an instance of BeamLoader\u001b[0m\n", "\u001b[36mGenerating an instance of AerogridLoader\u001b[0m\n", "Variable dx1 has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: -1.0\u001b[0m\n", "Variable ndx1 has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: 1\u001b[0m\n", "Variable r has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: 1.0\u001b[0m\n", "Variable dxmax has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: -1.0\u001b[0m\n", "\u001b[34mThe aerodynamic grid contains 1 surfaces\u001b[0m\n", "\u001b[34m Surface 0, M=4, N=20\u001b[0m\n", " Wake 0, M=400, N=20\u001b[0m\n", " In total: 80 bound panels\u001b[0m\n", " In total: 8000 wake panels\u001b[0m\n", " Total number of panels = 8080\u001b[0m\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "fatal: not a git repository (or any of the parent directories): .git\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[36mGenerating an instance of StaticCoupled\u001b[0m\n", "\u001b[36mGenerating an instance of NonLinearStatic\u001b[0m\n", "\u001b[36mGenerating an instance of StaticUvlm\u001b[0m\n", "\u001b[0m\n", "\u001b[0m\n", "\u001b[0m\n", "|=====|=====|============|==========|==========|==========|==========|==========|==========|\u001b[0m\n", "|iter |step | log10(res) | Fx | Fy | Fz | Mx | My | Mz |\u001b[0m\n", "|=====|=====|============|==========|==========|==========|==========|==========|==========|\u001b[0m\n", " DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "LoadStep Subiter DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "| 0 | 0 | 0.00000 | -0.0187 | -0.0006 | 0.6029 | 4.8229 | 0.1523 | 0.1495 |\u001b[0m\n", " DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "LoadStep Subiter DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "| 1 | 0 | -9.22874 | -0.0188 | -0.0006 | 0.6043 | 4.8366 | 0.1526 | 0.1504 |\u001b[0m\n", "\u001b[36mFINISHED - Elapsed time = 1.3510996 seconds\u001b[0m\n", "\u001b[36mFINISHED - CPU process time = 5.6712286 seconds\u001b[0m\n" ] } ], "source": [ "# Running SHARPy again inside jupyter\n", "sharpy_output = sharpy.sharpy_main.main(['',\n", " SimInfo.solvers['SHARPy']['route'] +\n", " SimInfo.solvers['SHARPy']['case'] +\n", " '.sharpy'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next function will plot the static equilibirium solution for the wing:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "grey" }, "mode": "lines", "name": "Aero surface", "surfaceaxis": 2, "type": "scatter3d", "x": [ -0.4375000000000001, -0.18750000000000006, -0.1875000237228303, -0.4375000236873756, -0.4375000000000001 ], "y": [ 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6+k6789rTbYBb6YeHne4En71tz123s7Mvudny8vLsxCN/YlPfet9+cdyF9uTdl3jBaeGiejv3pF/aorpG+/6vTrPLzhpv48autVz2BYFmuWBkEghAAAIQgAAEIAABCEAAAhCAwIojcMEFF1hTU9OKWyDFzMcdd5yVlZUt9e7/nn/V7nvoGfvzHw/37514zrX21S9vYbt9ZWv/+oOPPm9Xn3+Mf6+pucW23+twmzLxOi+oPPncK3bNBcf6944/+2obt+5advCPvul/f3rSVC+ESPiJjqtvvt+efel1O/awH9rGG6ztBBTJKr0dM4m/H/WHy92xY7zTRiMq0Cx2rpnmllbnkCnx75124Q02arVq++UBe9s3fnSsE5OOtA3XG+3fW1TfaFUV5babe/3CP/zavrTRuv51OYjK3fmHH7RvCnrZvYxAkx0vjoYABCAAAQhAAAIQgAAEIAABCHzuBL5oDpqjT7vCJNLIPaPR2dlp2225kV1xzlF2/R3/tStuuMcGVVX0cGpobLYHbvqTK2V60ZUIvWvnn3qYf+8Xx17oXSvf+ebO/vep0z6w8adcYo/fdXEvxh1ufs37n0ee964YZd787Pu7py1xkkDz5W03se/vtYufKyrQ1NTW24VOYHl/xiyzAQO8C2f/73zdO3S22v2Xdt8NZ9saI4f1uoat9/ilVQws67nn9vYO2+Or23qnzfIYCDTLgyJzQAACEIAABCAAAQhAAAIQgAAE+gkBZbTs+ZPjnYhykSt/KvB3LQHla9/7nd17/dn2jHPBTHzyRbvs7N8uReTWux+x1958z8475Vf+PTlo1l9nTTvkx3v635964TW75Lp/2V2u9CjVmPHxp3bQUX/yYtDzk9+0mR/PtdOOPcgffvG1d7nyowafSSOBZqdtN7Xv7fUV/15UoJFjps2VjCkbR0HFKplafbWhXqCRg+Yvzhm06Ybr+PM+mDnbv7fPQSfbxWccsdxKmhLvD4Gmn/wB4jYhAAEIQAACK4qAuiI4l7D7y0231ZgBAQhAAAIQgMCqTUBlSi++Mq2nvCncrcqcVFIkV8m+B59it15xio1eY4R3xdw/8Rk7afwBLoOmt0Az4fFJ3gVzy+WnWLHLrznm9CtsndGj7Miff7cXxGPPuMq+vftOtvN2m1qrC/r93qF/sD+d/Ev78KM5dse9j7nzT/btvtX2ezNXgpRJoJF4o65TB/1wD5v27kzn2rnUX/fRv/qBnXnRTX6NM477uXtvhh1y9Pn2hMugkfjT4sqi/uDCkDtcBs9frv6n7fX1Hfw9L4+BQLM8KDIHBCAAAQhAoJ8RaG3vdH9x6bLmtk4bWlVs8xe1WlV5d4CgcwlbcWG33ZkBAQhAAAIQgMCqR+BHvz7DDvze7r40KToefWqy/fXmf9ud15zmcma6uzhJNCkvK7GTf3uAbbnp+ksJNPqHntDFSf/gs/VmG/iSIXVPig6JPGf85Uarde6YPPeXjX1229F+c/B3XI5Mmx1x8sVWu6jBRg6vtnXHjPJBvhJX0jloprw+3efmqBuTnDK77rSVnXzedfank37hr/OPF1xvOkbdpCQsfXmb7i5OCivW63IM7bLD5nb8Efv7OZbHQKBZHhSZAwIQgAAEILCKE9Bfnrwo097lvzrd72GMGFziBZqKskJnFe60ptZOL9KUFhU4oWaAF2tCkN8qjonbgwAEIAABCEAAAn0mgEDTZ3ScCAEIQAACEFi1Cci6296x2AkuHV6USTWSCTTRYyXWFBXkWXVlsUnoQaxZtZ8b7g4CEIAABCAAgb4RQKDpGzfOggAEIAABCKySBNo7uryAUlPXau2dn7lk0t1sJoEmnDuqutRmLWh2jpo8K3KumqKCbncNAwIQgAAEIAABCEDAlYm73t/x/vYFLQhAAAIQgAAEVkkCKl1qdmVJwSUzaGCRLXACTdyRrUATnTffiUGlRfkuFDAPsSYucI6DAAQgAAEIQGCVJIBAs0puKzcFAQhAAAIQSE2gO09GWTJOmHEhv4n/VDPMhf7Oc5kycceyCDTRNTRPfVOHd9aUONGGUqi4O8BxEIAABCAAAQisCgQQaFaFXeQeIAABCEAAAhkIxM2T0TQSSj5d2BKbaVSgaWzucKVRyfNqVhtSYnNqUs+buK5KoSTUlLgyKFp4x94ODoQABCAAAQhAYCUlgECzkm4clw0BCEAAAhDIREBOmUZXutTiQn7j5sksq0BT39Teq8NTuEYFBQ8flF74SSfgFOYPsLKSAit3XwwIQAACEIAABCCwKhJAoFkVd5V7ggAEIACBfkugeUnHJZUwqe21OjC1penAlAzUsjhoUgk0ypoZ6kqn0jlzQohwqs0rco6asuICW9TYZuXuu3JrCvPzKIXqt087Nw4BCEAAAhBYtQgg0Kxa+8ndQAACEIBAPyMQSpeUJaNMmWieTKUTaFrca9kKNJmEkkTE0RKnFSnQqNxJTpp6V0YVRmjhraBhcmv62cPP7UIAAhCAAARWMQIINKvYhnI7EIAABCCw6hOQKCOHTIsXZZLnvYhCRWmBLzdqcmVO2Yy+CDQ1dc7V4tbrq0ATpwSqrNhl0TgnTlSgSbwv5dZUVxZbp2sRTm5NNrvOsRCAAAQgAAEI5JoAAk2ud4D1IQABCEAAAjEIyB3T2tbluy5JdIkzJNDo0MaWzxwncc6LI9BIUJFjJThXdE16TV2YVFaV2BlKwkpVeaHV1LclvYQ4JVDKn3HTpBVoovPQwjvObnMMBCAAAQhAYNkI7H/4mS7vrs3u/tuZyzbRCjx72rsz7ag/XG4Tbjt/Ba6y7FMj0Cw7Q2aAAAQgAAEILHcC3a2wO62gIN+7UuSWyXZIoNFI5zhJNme6DBrfVcllv+i7rqnFiUZeeHEOmoqy7vUKC/K8syeafyOxRJk4tQ2pBZohFUVp23vHEZyUSVPprmdBXe824RKPSosKrLSY3JpsnyOOhwAEIAABCKQi8O4Hn9h5V9xuJcWFdsj+37LNNx6bFaxO5wrOd//tXtEDgWZFE2Z+CEAAAhCAwCpGIFkrbIkS6sDUF4FGJUEF7i89dU7gyWaETJng1OkO5823IicW6Rrl4tH1BJdMYgZNl3tDzppSF+RbWDDAmlrcse5/+Xl5KQWaEACcSsDR9StTR+unK9mScFTkBKJ099wt1uR7wcj9SMhwNg8Hx0IAAhCAAAQiBC646g4bO2Z1KyoqtJdefdv+ePTPet598rlX7aJr7rT2jg5bc9QwO/P3h9iw6kF2wz8n2PT3P7a3ps+w/9t+Mxt/yH522d/vtoeemOTP3XTcOnbq7w60geWlPXPN/ORTO+ioc+2xOy/yr53+lxv9HLdcfrL//TcnXWz77rGTbbPZODvhnGvsg5mznYt4sf3s+7vbAft9w6ICTXtHpx16zPl+7UN+vKelus5cbDQOmlxQZ00IQAACEIDAEgLtHV3W5r5S5cnEcY2kghlH9Eh2rgSXRY3t3ikjUaY7x6a7G1Sy8qp0IcESQ9R5yQf8LhFrkgUXx7nWQQOLMnalipNTo3uOHqfcmqJCCTsDrNh9Z0AAAhCAAAS+iARe+LTL2uNVOS/Xy99uuHOfJjG5yP2y5wHH27+uO8O5YPJt7wNPsAdvOc+LNfNrFtleB55oN192kq239hp2wz8m2OTX37FLzxxvt979sF1147/t9qtOdcLNcHvw0Rfsb7f/xx17spWWFNnxZ11tI4YNsWMO+0Gv+9j1+0fbLVecYiOHD7Ef/Oo0/94t7pzCwgLbed/x9p+bz7Wrb/631TU02VnHH2KfzJnvr+Gh2y6wmtq6nhIniTudnZ12xnE/T3udyxVizMkQaGKC4jAIQAACEIDA8iKg0qVmF9yrMqBMeTLKXVF5ULYuGF2rzpOokVjuk+o+dLzWKytxooxz7TS47JpUokx0jiDQaC05YJLdU3DhaF6JIQWuG1OTm18lUu3uL3jJOjQlXqdKoCQcpWMWt6wr1XHk1iyvp5x5IAABCEBgeRO4ZGq7RRoZLu/pU873200LbUnVdK9j/vf8q3bfQ8/Yn/94uH/9xHOuta9+eQvb7Stb+9cffPR5u/r8Y/x7Tc0ttv1eh9uUidfZHfc95lwrr9g1Fxzr3zv+7Ktt3Lpr2cE/+qb//elJU73zRsJPdGj+r+ywme2w1cZ2xMmX2DqjR9q3d9/JqirKnGvmWrvzmtOc07bTOpxDpqS4yJ8qAensEw51wk+xF2gO/uEeNvHJl+zqC45xfxfJT3udn0fpVSJ0BJrP7bFmIQhAAAIQ6K8EuvNk1HnJCTOR0qA4PJSpomyXVOG66eaQe2VIRXFagUaChMSTgU6YGeBOkJNH4onCfiWcxBlRgabOCSjJztMaxa70KOThaF25WMrcuh1OtNFoc3zS5eUMqypOm1GjOSQSaZ5MnaviHBdyayqXZOvkKaGYAQEIQAACEMgRgS+ag+bo064wiTRyz2jIlbLdlhvZFeccZdff8V+74oZ7bFBVRQ+thsZme+CmP7lSphft1TfetfNPPcy/94tjL7Q9d93OvvPNnf3vU6d9YONPucQev+viXqTv+e9T9vZ7H9m2m49zbpzptu7oUc4ZU28VA8vso0/mesfNG29/6MulFrrXB7j/br/jjr/uz8dZWWmJHXDEWa6sOc+LSOed/Cs/d7rrHDqk6nPfaQSazx05C0IAAhCAQH8goKwU32zJfc1PCKzN5v7jiCzp5ksW+BtEGZUe6ec29y9Njc2dPcJKnFKi6JpRgaa+ud27bhJHOodMEIh0TGgfnqwTVLrw4rBe3GuXGyeuCLXakBKbU9Piyp+6w5FLnAOIFt7ZPMUcCwEIQAACqxoBlRHt+ZPjnYhykS8x0pB75Wvf+53de/3Z9oxzwUx88kW77OzfLnXrt979iL325nt23indIokcNOuvs6bPg9F46oXX7JLr/mV3XXt6r3NnuZKlo0+/0rbadH3b6kvr25i1Rtpf/vpPGziw1Pb+xo725W028Y6ZQ378LdvvW//nz91j/9/bOSce6gWanx99nv3r2jPc9/O9mPP1nbey+yc+m/I6c7FnCDS5oM6aEIAABCCwShJQnkx36ZLEju6200MrM7s+MsGII0ykmiOIC6EtdlSUkcskmZgSV+QIa1a7e1Rpk85LJdBkyoYJLbRbHUMJICqzau9Y7Hh29LiOwr2k4yWXjQSxxDbfiefEZZqq/Te5NZmeWt6HAAQgAIFVmYDKlF58ZVpPeVO4V5UhbbzBGNvjq9vavgefYre6zJjRa4zwrpj7Jz5jJ40/wGXQ9BZoJjw+ya699QEX+HuKFbv8mmNOv8KVL42yI3/+3aUQKlNG5UvXXnisDaocaHv/7CTLc3/J+cfVp/n8mh33+Y1de8Fx/hokvpx58U3uGn/jwomrejJoJk+dbr/74+V2z9/Psq6urpTXmYv9Q6DJBXXWhAAEIACBVYZApjyZUdWlNmtB8zLdbxxhItUCWl9lS3KphLbYmTpCqVtSsiDfVGssD4EmWSZMCA6WGKIyKIUMf7qwJa34Eld4ictUjhmJS+lKzCR+lTs3UrELVVZJGqVQy/S4czIEIAABCKwEBH706zPswO/t7kuTouPRpybbX11Qr/JgQnekltY2Ky8rsZN/e4Bt6dwviQKNSsFDFyf9A8vWm21gJx75E+d6KV6KxCnn/c0mT33HhxFrHHb8X6y5pdVuvORE//vt9z7qxZ6B5WXeRVO7qMHunfCUDwQ++5JbbMJt5/vj1Bp89qcL7OIzjkh5nbnYBgSaXFBnTQhAAAIQWGkJhFbYypKROJPJqSFHR21D8lyWuBA0hwSCTIHCYb4QyCtxQf+qpGDdZCVDqdbPtrV3VKBJlUGTyUGjNbu7RXUudVmhE1RVeaFvmam23akEpDjCSypXTDIewdmTLhsnep4cU7oHdYTy/MmtifuYcxwEIAABCECg3xNAoOn3jwAAIAABCEAgEwGJMiEbRd+zGdmWCyWbO84cQZRJbIudrrNSOoEmlVhnrWeVAAAgAElEQVSS7JyoQJOqi1MmgSZTaG/oSFVT35qybbeEHDlolBeTbmQTvCw3kVg0uo5TcUaiQERuTRxqHAMBCEAAAhCAgAgg0PAcQAACEIAABJIQkDum1bWADnkyfYUkZ4jCguN+wE+2TipHi4SGUld+I6fGYucsSdYWW2G44fW495DOzZIrgSaZqBKcNT6A2DlWlP9T5DpFzVvUmvZWM4lF0ZOz4ZfJmUML77hPIMdBAAIQgAAE+icBBJr+ue/cNQQgAAEIJBDoboWtsqUuJ3oUpAy7zRacxAAJCH1pkx3Wiuaz6EO+5lPpjYZCdFVSk6r8Kds8Gc25IgSaZBkzUZZy0DQ2p27tndimO3EfxKXciWHi3enyapSzk4pLNmVLcTNtdD3aFwlEdU3tGR+TkFujMOQCJ7QxIAABCEAAAhCAAAINzwAEIAABCPRrAnJdKE8mGpybSUzIBlgozVmwDK22JTrIKeOMr0nbYqe7nmzFliDQ6Hvc3JU4JU6ZmGqOVB2gdC1xXC/hmMROUN1iTUdPXlCmcqrAM27JVDg+0z0m2yeVRCn4WMKOOmx17zMDAhCAAAQgAIH+SACBpj/uOvcMAQhAAAI9BORsSexqJLdGRWmhLYuoEkUcJ7g2cUsk7IQuRvpZo7axLWlb7EwCTbYlVtkKDXEFmnTXoTmUL5MqdDmOQJPMGSOG0bbd2ms5XVKFGUdZqqxqSGWRF1DiDJVDybWTqUtWmEv7OmxQcU9mjq5LczAgAAEIQAACEOifBBBo+ue+c9cQgAAEILCEgLJh1OUoOrJ1TmSCGVwSmTo+aV19SC9VqUykLbZKr4ZUFPdJMMpWbNG9ZFMCpOPjCjTpgoczlRLFyfLJFOgbBC+JPSplU3mY3FPLIgpF9z7TPSQ+J7oOlTeFkih1qQqla5meKd6HAAQgAAEIQGDVI4BAs+rtKXcEAQhAAAJZEJD4saCubakzhg8qsYXOXdPuOjgt68jUhUmiTEmRc3q4720SDpxooNKr6OiLC0fnJ4oAce4ljlslOs/nIdBIfFE3rWRtuMO1xC1dEks5aJQ1VJA/wIs1KoES++jIRtzqi6iXKChVO7dOcSElTnGeUY6BAAQgAAEIrIoEEGhWxV3lniAAAQhAICsCsxY0L3W8Pjy3dXTFLldJt2Ay90eqttipwn77KtB0iz/5pvbXcYcEmiInFMQ9JyrQpCoLyySeZHKf6HyVDqUrH1J5UH1T6qBh3b+EFIlvoWwpsRNUU4tbw4l2EmsyXXOUp/ZzoAtuziYMeliVyrrafMCzF3jcdeUtKWeLu1ccBwEIQAACEIDAqkMAgWbV2UvuBAIQgAAE+khAooJcFNGhUhNlhMTpyJNp2TCXXDHlper0k7otdqq5oh/mM62XKBxkm6eTC4FmVHWpJRPKwr3EaXedSeTRXMqVqXSlRMmEpESxRsfXNrTHEumyLQvTWiOHfHbPxU7gkdDFgAAEIAABCECg/xJAoOm/e8+dQwACEIDAEgIqd2lwWTTRsTy6L2k+zVNRpvbPBa5EZ7Ep80YukFROmVSbEkegSHauhIBs82tCVsvydtCkc8BkcghJvMgU2hxHoIlbvqV903xhn5r8vnWlLHnLxm2jfUoMopb7RsIRAwIQgAAEILAyEOjo7LTNdj3ECgsLnAt0gBUXFdom49a2U4860EavMWJluIVe1zjt3Zl21B8utwm3nZ/Ta0egySl+FocABCAAgS8CAYXFLnROicSRydWR6tpDByZ96NZfWto6ujsHzamJ1w0o2bwqk2p3Ak/cDkHROeS+mbeoNTbqbMt14pY4Jct50UUllh0lu9A44ksmkUfzxnW6aA+HOm6+BbZztxS7Ntjl2oOOxa78qdMLetFwYTGe75xYmYKgw70lXsfggYU+E4cBAQhAAAIQWBkIBIHm0Tv/YqsNG2LNLW123uW32axP59s1Fxy7MtwCAs1Kt0tcMAQgAAEI9AsCXS4DZE6SVsoSHuqb22O1tk5siy1RRoG2IXg2bienVMCzCaxNnCOOuBE9J9s24+IkF1Kq0iHNnS4oOSqGpLr/TPcQZw7NHSdsWMelEqmSte2W8KTry0aAS2zJvZo7n/yZfvF/N9wkBCAAgT4TuOACs6amPp/e5xOPO841HSjrfXqiQKN3n3nxdTv7kpvtwVvO8wc/+dyrdtE1d7p/3OiwNUcNszN/f4gNqx7k/jFjsZ13xe322NOTrcv9vO3m4+yM3//cBffn25GnXGobjl3Lpk77wN798BP7zjd3tpLiQvvf86/ZvAW19uc/Hm7j3PvRcfNdE+3t9z6ytrZ2mzlrrnW6pgKXnHGEjVptqC2qa7TT/3KjvTV9hv/v7Le+voMd/rNv+9OvvfUBu+Pex6yqstx232Vbu+e/T/U4aK6++X7798Rn/D+0bb/lRnb8b37s3UK6x/OvvN2vVVhQYMf++of2f9tv1me2iSfioFluKJkIAhCAAARWZgLzalu8QyU6MrVtDm2xVb5UWDBgSYht8mDhbMSeZBz70o0pzJOtEyhdTkv02kL5ltxBco6IhxwnyVwk6e5f80iwSOfyyeSOiXvNicJIqmc2TilUKAVTBy4NiVTp2nZH14reTyinWpn//HDtEIAABCCw4gkMH242b96KXydxBa05dGjvVxMFmqbmFjv9zzfa0OoqO+7XP7L5NYtsrwNPtJsvO8nWW3sNu+EfE2zy6+/YpWeOt8efnWIXXX2n3Xnt6eb+6mA/POx0+8VP9rY9d93Olxm1tLbZVef+zmZ8/Kntc9BJdvqxB3uh5sob77N58xfaH485qNfF3Hr3I3bFDffYv284x4YOqXLXcYMTXQbaUb/4nv9Zfy857diDrKGx2a91whH7e/HmJ785yx646U9WPbjSTjj7Gnv1zfe8QCPh6OJr77JbrzjFykpL7Kg/Xm7bbbGhHbDfN9z1nGynHfMz23LT9U1lUbfd84idcdzPl9umINAsN5RMBAEIQAACKzMB5a0ktnAudd2MSp34kNiZR4KEPsDru0qOkrXFTmSxrF2hsi07iq4vd8dcJ0DFLb/RuekyX6IdqOQwUimXwnQHuTKdfNe2WmVAic6jdAJNJnElTgmU9qLQrV3f3DtLKHEf4rLIJM5F5w3Pgv6VTW27lTWk+293XcCSMZcgM2xQcY/jRgKf2DEgAAEIQAAC6Qh8EQWa8rIS7zKRQDNmjdXssrN/a2PWXM3ue+gZe/DR5+3q84/xt6T3t9/rcJsy8TrvZGluafXih8ZpF97gBJNq++UBe3uBZlsnhuz/nV29E+ZLu/7c/nfPpV5EeeDh52zC45Ps8nN+u5RA89xLb/S8fsu/HrY33v7Q/nTSL+xr3/+dXXrWeNtkg7X9OXL0tDr3y9ruGp96YWrPOU9PmmpnXXyzF2hOOe9v/h4O3f9b/hw5ga7/x3/thotPsEOOOd/f589+sIettbpTzJbzQKBZzkCZDgIQgAAEVk4C6rC0MKEVtYSBoa58R86OIEpICJAAEfJU4ob9xs0+SUWvL2G/Ya6+dIBKllsjwUodoXTPun8x00jMoAklUnpPApaOTRdUnKmkKo7DJo7jRdeTyYkTmMV12uj4qJiTrm13mDvRDTXIhQOXOZGLAQEIQAACEEhH4Iso0IQMGokpz738hp14zjX2r+vOtP888px3tQyqqui5JTlY5FjJy8uzC6+6w96fMcvbb2fNme8Ema/bYQfu4wWar+ywmXfMaGy8y0H24n//6sWcBx99we5/+FnvrokOOWhec+6X8075lX85+vvmXz/EHrj5XFtj5DD/3t/veNDefvcjW3fMKPvwozl2zom/8K+rpOq4M67yAs2vT7jIuWne7RGQurq6nEBUZXdec5otWFhnf73pPnvkqZetorzMTjhyf9tx602W24OLQLPcUDIRBCAAAQiszATkdkgssZFwIIFGjoggSihTJq4oE+WxLA6YME9ccSFxH/pSXhUyX0IZk1qDK1envqljqftPFRIc8lok7KQrfwohvKncL5kcNrrfOBk9cZw4gV2mzJso41QdtlKJNSWF+Z6hOnppjBhU4p1HDAhAAAIQgEA6Al/0DBpd+3cPOdV+9dN9fEbLxCdf9I6axCHHTFt7u8+kyc/Ps1PP/7ut7kqOVoRAIwfNJWccaZtuuI6/jD//9Z/OmdNpa7lOU88410y4vieefcXOdSHHEmh0Peutvbod+P3d0z6QT73wmv3+zL/aM/++YrnlyCHQ8P8BEIAABCAAgSUEZtc0W4H7Vx0JCnLKaCjITsJBX7onRcFG3Th9Bd5XgUblM9HA4jjray3ds4SZTK3BM3VxCvcuEUIClzoghfBkXUsm90sQeuqalu60Fe4lTptrCT1ikamjla43m9DfOPsioSuUQhW6jlBiIL4SBkcOKY2zJRwDAQhAAAIQ+MIQSMygUcOFSa+8ZUecdLFzmpxuFQPLbN+DT/E5Lmq7LYfK/S5096TxB3iXzOYbj7WDfriHz3EZ74KB9/jqtnb0r36w3B00Z1x0k3U5d48yaBbVN9oPf3W6/3mQy6g5+Khz7d83nmNDBlXaMadf6a/FZ9A8M8Wucnk3KmlSCdc/73/CZQ3mu2vczg7+3bl2sQsgVueqj2fPs/0O/YM9d/+VCDRfmCeTC4EABCAAgVWGgPJC5GyQU6Sx2X14dv9Bj+PMiAsg27DexHlVdqSsF11XNiObFt0Sp5QpIzFlkUJvl5QxpVsvk0Cjc4MjRcKXyr00VPokkUI5PxIwUjloMgk4mitOSZLWLnLiSDqhR3PF7QiV7bE6XuKPBJl6JzapbfcA/Q/zTDaPM8dCAAIQgMAXgEAQaNTZqPu/h3m2huvUpA5J6oikEbo4KfRXQsfJvz3Ah+tOeX26K4W61osecrbsutNWdvJ51/nMmPsmPLNcS5wkyii8OHRx+v5eu3hhSOOyv99tdz3wpA0sL7Uf7vNVu8l1g3rkH3/2711zy/1274SnrcP9nVB5NGcdf6gNHzrId3q65pYHvAunpKTYxh/yXfv6zlsttx3BQbPcUDIRBCAAAQis7AQkFiQLBJagsKCudZlvr68CS1g4VSlNpguTQNNdotWdGZM4JEhILFDpTRCnFGI7a0Fzpqn9+9kINGHCUPKl78r0aWt35VMpAn7jCDRiO9/tUbog5Lg5QNl0zJLooy5OEs7ijMS8ncEDi7xjiwEBCEAAAhCAAAQQaHgGIAABCEBgpScwbfpMO/eK23zInNomypLal9HqRIIFdW29Ts223CXduiqvaWlL3oY7zvVmElpSzZHKBaSSn/JSuUpcNyp3741OIAn5Otm4ffoi0IRrFV+JFBIuugOFO3uVP+m4OC6mOJkxCvPtcO6jVEJVuKa4Qo6Oz+bYZMdXVxZZsRPGGBCAAAQgAAEIQACBhmcAAhCAAARWagJ1DU32PVf/e70TZRQwN+mVabbt5uP6fE/JXCPDXYjrwvq2rEuLEi8ijtCQ7sL7en6iA0WODbV27i4rSl7GFEfwCNe6LAJNEGCcwce6nP1F16URcm/0cxxhJY6gFKcMSuvFybMJ957NsWFuCVH68uKfe7bUbpQBAQhAAAIQgAAEEGh4BiAAAQhAYKUhIPHlFlcfrHH4z/a1ceut5QPdTj73OtfS8Qz/+ifORSOhpq9DpUytLsg2OpbV+RLmUjmMxJLEMqq415pN6U10zpD7IlFAjg+VMWUKDf48BZpEASaUARUWDPCuHoXqBndNMlZxuzPFKYPS/Nm0JRenubUtaUurotcc5VrsXEMStxgQgAAEIAABCEBABBBoeA4gAAEIQGClIKCgtituuNcuO2u81dU32SkuTE6uGQkyV7rXT/jN/nbkqZdapesaIFeNypz6ItTUuWBcddiJDokacptkCpfNBFJzyMWRqYtQqnkS80syraf3tWZVeWFPCVGyNtnJ5pGQMH9Ra6yW4sFBk+7e0jlcUrlQJLwosFj5OKnKn8I9xuEap9uS5ot7XLblb9oLZfvMqWnxyHVvlW5vGBCAAAQgAAEIQACBhmcAAhCAAARWGgJqwfjt3XeyXXfe0l+zBBt9SYjZeJeDbBtX1nT2CYd6UUaCjdw2fcmiaXadhRYmBL4qq0UfpJdHUHDcD//JNiabVt3RMiaVC8lFk831Z+MiCQLNUBfU++nCbvEhcaS7bwk06ugUbb0dPV/zS6AJrc9VlhU9NgQOp3MmxXXZxD1O1xe3bXe4FzmgdK0hUHiwyyQqXVLStdL8QeRCIQABCEAAAhBYYQRw0KwwtEwMAQhAAALZEJCgMmt2d8jvtlssnSFz0FHn2k/3261HoJFzZj+XPaPSJpU4SZiRQKMhB80Oex1uzz1wpXfUZDO6XBjKnCQiQ5yMkzjrLGsnp3RChxwawWWTWMakdbNx7gTRJYQGp7u3OAJNupKpTN2poucmlj/J7ZSpTbeuPa57KRsxLk53qSg3lXKJpwQzjdWcS4n8mTh/ajgGAhCAAAQg0D8IIND0j33mLiEAAQh8oQkEx4vCfe9xrpjv7LGTHX7Qvr2u+dzLb7N6J7wEEUZvSpiRc0aiTsihCSVOfRVoNO88lynS3ulSayNDAseipt7Ojb5AzSRGZJozmUAj8aGirMB3Y5Iwk6yMKZtMGV2DRBeVe7W7rkeZxrIKNJnEoGTXrnuWQFLmyoQ63F61d3SlLUGT+6bIZdlkKlPLRnSJE14cZdfNVGHTi71gpPtiQAACEIAABCAAgUAAgYZnAQIQgAAEckpAbpfdfnSsPe/cLhpyxuj3iXdc2CtDRmHAR7oyp4fd62Hc7AKD9bpEG4k8jz492fZ14s5N7vVkIk/cG61taFuqFXOi+yHuXInHqROTOhYFF0W280SFk8RuTCoDco2Qko5sHUBaJ7GUKNW1LqtAk8ndk+7aVZI0pKLYtarO8+HOqa45bjvsbPY5GzdUYl6NulUpfJoBAQhAAAIQgAAEEGh4BiAAAQhA4AtBQIKM8mVCFyZdlNwwGlG3jH5XmZMEGH1pSKDR+Sccsb//fdKUafbSq9Nsa+eqWZZW282tnS6Hpq0Xn3zrsKqKsj53YAqTxXVypNocfaiXwFNSmN9TLiNhJtPI1kGTjdMnk0Ajt0i6fJp01xYnE0YZNmKgNt0VpYWu61N39yeVPwXBKq7bJW4rbvHOJk9IpVlVrsQplJkNcplGcv8wIAABCEAAAhCAQCCAg4ZnAQIQgAAEckogWV6M8mgk0kTdMrrIkDtz6ZnjXR/CbiHn7OMPTZpZsyw3pXKZxLyWB+653UatuZZtvOlWVlzc99KUvnRi0r2EMiYJPArIXeTKj+LkwwQO2YT+6hw5fVodh1TBvVG+cQSadF2W0gk0mcQdXUdiOZZyZOQu0pfENn2FTlCZxKy4bbPjXFeUUaKDZ8SgEsvPdw8xAwIQgAAEIAABCCwhgEDDowABCEAAAjknkOiM0QVt70J+5apR+K9EHA3ly8glc99DT/vff/q93Wzc2LVWyPXPrmnuVS7U2tpi0159waZMfcN23HFnW3/DTfu8bjbOCwkyoc23yndUytPpMkzqnUMkm5FNpozmlUCjrJRMgoaOjSPQyOWSqotUpuDjdOdq/VQCT7RNd577RV2eMt1P3L1RVk2BE4IyZdqEPYq2Etd1jRxSms32cSwEIAABCEAAAv2AAAJNP9hkbhECEIDAF51AtGV2uFbl0FzvWmhLoEkm4Kzoe0r2YV5CxDvvvm/333+fDRkxyrbZYksbuXr2ApFEALWjTpUXow/wEmZUriOXjFpQywWi0dcSKZVGNbk54jhigkDTvXbm8qkVKdDIcaRyrnRCSBxRRce0d3SH8yr/R0wT+WfjiskmqyZRRNIeylHEgAAEIAABCEAAAlECCDQ8DxCAAAQg8IUg8A0nyIRg32nTZ9pBvzu3V3CwhJrPc+hDvMqIokOuEo35tQ325CP/tQ9mfOCcNJvY1lttZxWVVbEvL1UAb5xuTH0tkcrGEZOtQKPyKQk5Ax0fCU+JQ/eVzgWTrsQpTlelTPk60RybIPio/KnJCzWdPaVi2Yhf2WTVJAYEV7n8GbmiGBCAAAQgAAEIQACBhmcAAhCAAAS+cASUL6NMmVnue4UrZVK2zLj1snenLK8ba23vdCU5vYOCQ7lRKNV5/ZWX7KWXJ1l7c4OtP24T23LbL8cSahI7OUk0GOg+sKtkJnQhSpUvow/7Q52TJzEjJ9N9a824jpi4Ao1EDrl88vLMO3PER+HKwe0TrkmZMJVOlEhW4pTJtZJJoMl0vq5BxyRm4ETLn+SsEXddpzs0VvlY3KwarS8uJUV5VtvQLfhVVxa5UrX8TFvG+xCAAAQgAAEI9DMCOGj62YZzuxCAAAQgEJ/ArAXNvQ5OdELozfq6RfbE4w+7AOPZlt/e7IUauWrSlT6FTJn2zq6kZUyZrjBOSU/iHMH9Eze7Jt3xQZhp6+i0+qYO745Ra3J1apKwVVSQ7wWPINRIgFJbaR2TOJKJJ9FjMl23RJWKsoK03bW6BZL8pOtrreBKUvcnZdTIOZWq/EzHJ3sO0u1ZtBzKn+sCgvOkBDEgAAEIQAACEIBAhAACDY8DBCAAAQhAIAUBOT5anTMkOoa7D9cLXdisxJXoCG6aNvfy4vYWG+WyabbeetulhBoJEipxkWCgHJTG5s6l5sq0IZkybJKdn8mJknhOYtchvZ8ozASXT2IGTbRUS0KNjksn0KQrf8rk/IlTlhT33lWqpWstLMjz5U/RNt1RPsHxpJyiOCNa0qaQZ/3OgAAEIAABCEAAAokEEGh4JiAAAQhAAAIpCNQ5J4U+pEeHwnZbnAqTrBuQ3DQPTbjfFsyfa4vzC21xXoGV5i22TTbbyrbcYgsbUlXu3SXNTpiRsJBtmVK4jmw7Mum8TC6SRARRUSOVMBO9nuCgiWbQBKFG4ozEqFDik43YEe1+1FfhSQ6WDieoZQo8Ds6kZOVP0XDlZOJVuj9EUceTStlU7sWAAAQgAAEIQAACCDQ8AxCAAAQgAIGYBCSkLFySGxJOCeVJ6boKvTzpGXvppResq/CzVsr5ttjWGjXC1llnAxu9zlgbPXJQ2k5O6S5ReSoSjuJ2ZNJc2bo+JNBImMl3ATOhlClVLk6mLk5ae1B5d9eiaOlTuK5U7hq9L4FG4k6qe03M80nGTXNIUEvXYjsaJBzmCN20dH0aOl/XUuXupc2VcmUSfHSOSrAk6gUxbrD7uXTJfDEfQw6DAAQgAAEIQKCfEMBB0082mtuEAAQgAIHsCXS5cpc5CV2J4nRRknOkpaHG7r73HqurmW/tpUNsQJfLNclzgbodzVYyaLht6ASa0WM3ssHVw6y4uCSri8tU9pNssnRBvYnHB8fMYhfEojKeVMJMOC+TQBPcOBI0lBcTzaiRs6cwf0DKYN4wd6pryOSw0TWqdCnTfWTiE82p0ZzzalszctFxiW6b1QaTP5PVw87BEIAABCAAgX5EAIGmH202twoBCEAAAtkTmFfb4jJiFvc6cVR1qSUGCOuA7jDcfC9AyHWyYGGjTXr+KXv1zTd9uVMYEmwKWuu9aFO2uM3WWm8jW321kd5ZE0esybbEJqwroSJdWVW0lEnZO+o0lCzYN5FiXIEmBBQHsUM5uW0dXSYhLFV4caZrjuMmytSGW/cTN6cmBATrnND9KZ2TKSogSbjTtTAgAAEIQAACEIBAMgIINDwXEIAABCAAgTQEJFAklrJINFjU1N5TdiNhQ9kiA9yn98QSHk09+5OZ9rjr9LSouTtUttOVPuV1dlhHcYXl5edbXlNtt7PGCTvVQ4fb2qPHOLFmvZQtu7PNkwm3l0qoSJYxk67z0rIKNOF8rVHl8mE0ojyj82cSVzK5Y5KVLiXb7minpXR/IELJ0nwXIK3SJ+2FhkqfVAKV2P0p2o5bx6vciQEBCEAAAhCAAASSEUCg4bmAAAQgAAEIpCGgVtELE9pD68O8LemSXOJcJnLLSMRJ56RobW2xyS6bRm6aAZ1O3Bk4wrflllijIYeNgoX1XlGjCxl2v1eVFnmxRi27R66+Zo+7Jk6ZVbJbSnT+pAv/zSazJlsHTfTaVK6lrkkStzQkcEU5ZmopnknAydTGO1yLnDjaw3Q5NTpWTpsClysTzSCKlj81Nn/W/SmxHfcgFw5c5oQ8BgQgAAEIQAACEECg4RmAAAQgAAEIZEmg3ZXgRMuCurNKukUFfZivb+qIlUUSlv3w/en25CMPWlubyzBx4kxXQan/HkqgBnR1+MyafOeo6SiqsPL507zTpqi9yUYOH+6FmtVHjrQvbbRe1l2ggpiRqSuTrjUbEWhZBRrly0gcCWtGhZpMAkwmASeu2yjqdEn3iKRz2kS7P0lkUit2CUShe9UI16I93+XtMCAAAQhAAAIQgAACDc8ABCAAAQhAoA8EZte48iNXyqISFX3gbnQdlOSk6GubbLlpHn7wHvt47nzvmNForVzdZdJ09DhpXNMnX/ak14vrPrGWYRtYyby3XXZNnRd0qjrqfMDwmLXXs+phEm7WynhnEiEkIsQRlnSfyk9Z4Ep5Mo1MAo0yczTELXEkCzyOZtTkueuItu6Onh+nfClutkwmoSesq3tNdPkk3pOuS8+K7ltBy8rXaXVdn0YO+ayrVyamvA8BCEAAAhCAQP8jQIlT/9tz7hgCEIAABLIkoFwRfcCOtrbWB3oJB4mZI9lM/f60V+yZp/9njZ2fuSrkltGQiybPCTYSajS68nuXxrSVj7DK2ZOt0zlw5LZR2LCEmiDYDHFZNiFwODhmXMds380oTntuiQxDKoqXi0CTrutUui5MEsVUeqTA4mSiSBwRKU7HK80z1OUKpRKConsaV8jRORJzJIbpPopd3g4DAhCAAAQgAAEIpCOAQMPzAQEIQAACEMhAQM6PRY3dTpcw4jgpMoFVYOy8+QttwkMTbJYLElYGjc+ice241eGpo7jST+FLnpbk1WbJuAkAACAASURBVOh7e9kQ76ppHjTail1eTUvF6l6kKan90JdMyXlTubjVBg+ptnXXWdvWGb26lQystiFV5b1EpkzXl6mDUpSFwpRTiRyZBBoF7CYTjUJQsd6vKO0O140KNXGCjCUASSRJly0TtwwqGyFH1xoVc6pc/kxwEmXizvsQgAAEIAABCPRPAgg0/XPfuWsIQAAC/Y7AtOkz7dwrbrMbLj4h63uXe2ZBXXcHpjAkOnQLBkuX7cRdQHO4+BVf+vP6Ky/ZSy9PshYXOBzNo1EOjcQXiTQScPS7QoQlzhQ211inE3HyXdmThlw1ZTXvWtOQsb4Uqrj+kx7BprCpxka7wOHBVYNsxKg1e4UOp7reTPkv4bxMJU7pBJp0bbIlnBS6zJbE9tzd3NutwDlfJJqk24NMXZ40V9y25d1lbvnehZRphG5PoQyuurLIty1nQAACEIAABCAAgVQEEGh4NiAAAQhAoF8QuPmuiXbu5bfZ2SccavvusVPW9zxrQXOvc7L5sJ5qscQ56usW2UMT7reFc2f5YGBlzRS01vufJbCo85OcNRJrNNSqO5Q+6bXihrnWOnC4F27kpJEDJwg2vgzKiTet5cP9nMWti6zSCQ4KHQ5doioqq3pd6uch0ARxR0HBiSNVfkzIqClw4o26bEU7KiXOEece0pVZRedLl6WTuG5U9PHdnFxAsPJ0GBCAAAQgAAEIQACBhmcAAhCAAAT6NYGTz73OKgaW2bR3Z/bJRaOwXGWhhCHnxrBBxTanpqXPXLs7QhUulfPy3FOP2uuvvmxdrtxJDhmN0OlJQcJyx2i0uABhiTTRkqcSX/o0xrlsPvXHtLryp9JFM3wZlEYQbPRzxadTvfijIVGnNG+xb+td7fJrJNpstP5asXJZMjlo1PmozXXDSlZmpHNr6luTZvlkcrZIWFG2S0engnh7t+cOmxInM0YuG3VaUteldCNOuVQ4Pyr66Bp1nwwIQAACEIAABCCQjgAOGp4PCEAAAhBYZQjcO+Fpk1OmvqHJfvq93fxXGLv96FibeMeF9g33/bKzxtu4sZm7HkXB1LkMGoUER8dw54qQcJPM/REXaioBYbbLpHnCteNuqK/zQk2Xc9PIJSP3i77LOaM8GmXR6D0v1oQW3ZGSp1KXS5NMsJGTRi6bIN5oDmXY+LKpokpfHjWwotKqystt6JDBNmad9SwaPBy9P4kP4jPElfEkC9qVWJEqZyadwyVTwG8QTLpcUnOyjBqJaCqhytRtK46Io/uN24o78diBrpuThDgGBCAAAQhAAAIQQKDhGYAABCAAgVWeQBBnLnXiyyez59vJ511nJx6xv31tpy39ve936B/sX9edYTruxVem+VKnbEazC6pd6FwW0aGQ35a25M6QuHPLvTHfiTzJukGpHffkSc/Ya1Nf9eKLhBq5ZTQkrshN4wOEXfmSuj1JVPGlUU5g0XeJORJuStzrEmQ0h/JqWpzDRmKMRuLPEnxURqXX85wAJJeN1jVXnaP5hq++to2sKnUumxG+PGr4sCFOxCm0TudiyXclR8kcRX0VaDKVHiWWR4XSJ92XHDUaanetAONUI06rbp3ry5Rcm/I4jqnEYwe756TUXQcDAhCAAAQgAAEIpCOAg4bnAwIQgAAEVgkCKmH62pe3tF137hZkJMRcccO99rBzzaisSc4aiTKTnDhz8FHn2qjVhvrft918XKz773IZKXNcW+3oUAmOXBrpMlAyTZ4uJDecG9w0i1o+E4hCDo2cLwM6271Y0+rEGAks+l4+7y1fFiWXTeOwDb0wo3IoCTZ6z7/mhB05ZhQqXNTwqe/+JGFGx+p1/ay5VRYlF47Ciwva6v356jSl4wYNGmRjxoyx1UetZVtvuYm1dyxdbrQsAk0q543YpHK0ZJNRk6rMLHHf4h6n87q7QuX5simN1ZywQ/5Mpj8JvA8BCEAAAhCAAAINzwAEIAABCKwSBBQAvLoTXaJlTQc5IcYHAjt3yYuvTvP3KYFGY1fnrDnBOWyyGfNqW1xOyWdhtkEIUJlTX0e0k1OqOSQOlBR02tNP/c+em/KaF03U0cm31F7SdrvbUeNed8JJCA7WfKHtdmntDC+wKDjYCzIuoyYxSFjHqyRK70vwCUJOKH+SKKRMHK0pV05z1Wgv6kjMUfZNw6cf2dd2+5bt9vWvOUfQYt+aXOVf6QSadOVFoXQqVTZMptIkZd+Uuq5L6TJqFERc4PhmEtmyEeO0ru5b3bkk4ElIYkAAAhCAAAQgAIFMBBBoMhHifQhAAAIQyDmBOpcpc6Vzw6g0SUG/J/xmfxu3Xu8MGTlm9BVto63fH3t6si9z0s8Sa/T1yZz5JvFG7ppshkplmlzXoOgYVV1qiR2esplTbouiguQCgT7cV5QVuPfzfcmOOhZ9+P50e9Jl0zQvzvusHbdzxnSUuHbcTjgJwcFenHE5NRJsJNyEdtz6XrbgXf+eSpYUIhwtg5JoUz5/mhdpJOgE94xEmnBeKH8KgcN6T26agfOm2fSXn7a58xfacb8/3r6x61d9MHChu78g1iSySZdBk678S/Nk6tCUKaNGc0TFlHT7lqncKnquhKUQWqwSK5XCMSAAAQhAAAIQgEAmAgg0mQjxPgQgAAEI5JyA3DEacrxMmjLNxp96qc+TkWMmOhQALIEmvK7SpvGnXOrDgROHRJ9KJ/ZkMySQLEzIM4nbASjVOslcOMmEmej5yqZ58pH/2owPpvsyJokqGl6IcT/LXaMhx4tKl1oGj+kpfVIJVHDQ6JjO8mE28OOXXAvv4e7YudY8eHRPLo3EHM2hvBqtoTbf0YwaOXmCmCORRs6aytmTrbFmrt11x2223vrj7PjjT7Cvf/2rVt/U4R0l0ZEp/yWdABMnADhTRk2b68qlEjOJbsk6TEWvNZt9jjp7Brl8njJXCseAAAQgAAEIQAACmQgg0GQixPsQgAAEIJBzAurAdH1EeJGbRuKLAoGjI/F1iTlX3nhvn9pqJ7vpdtcqOrEjUFwHRjqI4QN9JmEmcY533phiLzz3lDV2DugpX1ILbokqKjuSe0ZhwSpDCpk1wVHjxRknwOg4lSpJaGkeNNq7cOSMCXO0lY+wpuqxXqRRho1+jmbUaB4drzbeUZGmrX6htTU12PPPP2/Dhw+3gw462Pbca59e7bAziSzpSphU9iV3UU196gDgVBk1KntS1yeVIRUWDPCdp5KFNEd5ZyqnCsfquuSYCc/JCNfpS+HJDAhAAAIQgAAEIJCJAAJNJkK8DwEIQAACOSegDkzHO/dMCPRViVLoypToolHpkoYyZm5ywcDRTk7L40Zm1zT3+jCvD/vFhZ8FwvZlDX34l4MjWsoUZx7l19QuqrUH/zvB5nz0vu+2JNFF5UsSU+SuUZmSBBqVM7W5Tk5emHGvB3FGwkrImlEujQQciTMSXRQ2HMSY4NLR+xJp5JZJzKgJLhs5aypnT7E5779l0996wzbffHP7+OOP7cUXX7TDDz/cDvr5L2xAYbm/FpUOpcrwSeegSVcaFthlElW0d4Pd+q3OSRNKkpJxzyQkRc+JZtXIITRySLe7iQEBCEAAAhCAAAQyEUCgyUSI9yEAAQhAIOcE1KFJI9oaW69JnDn8oH39e9GSJXVsqnclTN92eTOJAs6y3owcG9FymGw+vCeuHRwzyimpb2p3IkHvEqBM1yoxwMXU+PNef+Ule+nlSabyp+7OTt25ND40OBIgLMeMBBw5ZdSZyTtonHPGv76kVEqCjrJpShfN8O25NYcEGwk8eq+kq9WFJXd5IUetvRuHbujXjLbuDt2f8mtm2OyPZtibb75po0aNsoqKCnv//fdtyJBqO+zwI22LLTZ317N0qZnYDHUtyOVuSTYU7qtjUjGLsy9hDQUEB0dNMqEmbpCwrjOaVSMRSSVUDAhAAAIQgAAEIBCHAAJNHEocAwEIQAACOSUQQn2VOxNyY+7979O+M5NEG5U7HemyZrIN/e3LTSlHRYG30SGnRpwymXBOYimTymLaXPlUphyUxOvtbuec79o5d5f51Nctsocm3G8L5s/tyaHR6x1FFS6gprukSS4buWs0lFkjYUYdm7o7N3Xfl8qaQgCwXDU6XiKOBBs5buTKGTh3qj9OQo9EG4k77WVDvLNG8yhIWEPz1L71vO88VVhYaJ988om99dZbts0221h9fb29/fY79q19vmPb77iz7fDl/+u5RTFK566Re0glSomhzWECZftI+Apsku11Ir9o6VNUqMmmjC1aVlXl8mckojEgAAEIQAACEIBAHAIINHEocQwEIAABCOScgBwzvoPTktbYcslIuAm/q312KIFakRfb2t7pSnJ6555Eu/akWztVxkw2LZyj86dq8/3ypGfspZde8IdGuzdJPFEYsAQZuV8kroSW3BJYJKbILaPRMGycFTfO9YJM/pJW2hJxoi4Z/RyChNXhKQg1+W111llUaa1uLb2v40rmvWNPPf6odXZ22mabbebXmDZtmnP8tNr6669vs2bNsg9nzLD9vv9j22Krbe0ru+xiA524kSpjJnRoSiVqxXG9RB1IUa5RoUYCj4SWBifMKVQ43VBJkwSaOTXdrp/qyiJX/pa/Ih9H5oYABCAAAQhAYBUigECzCm0mtwIBCEBgVSYQXDQSYcaNXcu3zVZI8PIuYYrDMLGtttwcGunKbRLbZUfXkdCSToxIdU0SBIa6ls6JwcU6fvYnM+0J1467ob7OBwVHhzo9SXRRVyY5W3ypkuvupG5PJQs/7PmublCFTa4EynV2klsmZM4oiFhijFwy0fDgaIen0NFJc2sedZNa3N5q9bULbeG8OT6PZoMNNvBlTxqvvfaa/77pppvaBx984Eui9vn2vvbVb3zLNtrkS1ZVNajXPah0SJ2hVGqVbGhPnMFmqc5R0WMztc6WUCNxJs+BnlfbXdaVbsiRI2FIopIXa1xAcJ5q0BgQgAAEIAABCEAgBgEEmhiQOAQCEIAABL4YBJQzc58TZuSk2cYJNbkQZ0RCobYKlg0j+sE8SipuV6Z0Qksm8qOqSy1RMArnKI9msnPTTJ32tg1obfDhwL6rkytZknNG4osXaVxJUmKXp9DtKYQNhwBhza1yJ71f6pwxctUUtNX7MGEJNtEOTxJpQqmUzitxItDi2W/Z00885oODNVTmJLFm66239vk03WVPb9vIkSO9eCNnzXvvvW/rjF3fttl2B9t9z71tzbVGm9peSwhRmVOykclho3PkfKpz5WrphBft4bBBxX4JuXUkCqVaM1oKpeBozc+AAAQgAAEIQAACcQkg0MQlxXEQgAAEIACBJQT0oV4lL2FIYBlWVWJza7tLW+IKM1GgmToOpYKfqpV09PjgplnU0p0xowwZHx7sRJruAOEO1+XJlSU5AUdCTZ77XS4bCTehRMp3dnJlTBJ0lJmTv/AjX8JU3DDX6kds6ucNgo3mkzDTOHScf10/K5BYQcLeZTNnmj378H+ssbHR59JInNGQMBNKnoqLi71Y89JLL9lWW23lxZsFCxbYE088YRtttIltt/22tv1OuyZ112guOWyUFZRKTNExcdgF8W2hK3WSy6ncOXNSCTXRUjcdW+ncNwwIQAACEIAABCAQlwACTVxSHAcBCEAAAhBYQqC5tcMWNvQOCh7uyllqG9t8iUu27bI1bRw3R7INiHOeSqhKC7rs0ccet5enTPElRyptkmDS4TJivBDjMmMUJKzXi1z2jEScxmEbekFF7bb1XW4ZOWkk6oSyJYk6auGt4yXi6Fwdp9/L50/zP4cOT3o/CD4Vn061GW++4gODNSTMyDEzZswY//vUqVNdO/PFvuRJQ+KMBByJNUG86RZrNrbS8grvrtlqm219fo1GJvFFopr2LFWXqMA6MadG56USaqIi2+CBzmHkQooZEIAABCAAAQhAIC4BBJq4pDgOAhCAAAQgsIRAlyurmRNp/yzHTChnUfef5tbOrFmpPKYvnZwGOSFAnYySBdhGnTwqy5KbJLhp6hqb/DVKaAltuCWgyP3i221HxBr9rrImlTIFZ43OjebSSLiRm0ZzqDNUixN1ugWbT/1xQaTRXHLhqPxJIs3cd6faG2+8YauvvroPDZb4IiFmt912s+rqan+NEms0gljjA4U//LBHrJG48/LLL9vYsWPtY9clarPNt7att/ySbbHdLr4cKtmQC0gOF3FJN1Ll1CQKNS1tXa5Vd0FPHtBqLiyY/Jms/xhwAgQgAAEIQKBfE0Cg6dfbz81DAAIQgEBfCcxz5UyKPwnhvx0uQLajc7HVNfV21sSdP1VHoUznJwvDlTAjJ48cHImCkYSJsqJuN82Ul1/0bbejIo1Kn+SKkZCiPBmJKQoUNnevEl5UFhU6NClTRkKMuj21lg/3l+rFmSXhwXrfl0S5rBsdJydONFQ4BAk3LZxnjYsW9rhm5KSRY0ZCTE1NjX3lK19JKdaoDErizA477ODFnSDoVFZWWl1dnRUUFNkGriRq4002c228d+4RbOJ0edJccuLMX9QtbiUbUaGm0+1/6Dql8xgQgAAEIAABCEAgGwIINNnQ4lgIQAACEIDAEgJyrMghoXIn5dEUFuQ5B0VmR0YqgH3t5JQo7IQW0bquaFepqJtmoQvXVTDuB++9YxMeuNvyCov8Zan8yJc7OYEmBAjL+SJxRl2bgsDiy5Ra6rywo+yaupFbeqeMAoUlxIRgYAk7EnlaXatulT4poybq0mmqHuudNJWzJ9urzz5hRUVFSwkxKnkKQs3s2bNtk0028W25gxCj78FZE8SakFkTjpFwIzeO5pHQsu32X7aNN9rQvvmtfaywZGDKZzqxbXa6h19OGzEuLBjg1nBCVT7dm/g/CwhAAAIQgAAEsiOAQJMdL46GAAQgAAEIeAIqR5LQEXVW9DXoV/PJ2aJypWQts9Mhl7BT5pwyCq7tLpNautOQXDYKu5WQlFh+JRHisYn/sXfffqPbTeMcNIudS0bfVeYkccaLLE54kXAThhw2KnnSOflOZPGlUUveb64abaWLZliLE2Y0QniwRB45bHxbb1cOpd/VVUqCjwKIZ79baLfceKATUy63XXZ5xQcDa8ghI/FGQoxKm9555x2bP3++b9MtwUYCjMqg2trafNmThsqedJyEmdDKOyrg6FgJNnPnzbfdv7m3rbf+ONchaq9e7byz2ZOQeaO1FVBcXJjPnxQIQAACEIAABCCQFQEEmqxwcTAEIAABCKyKBD6ZM9/qXQvvcWPXin177U6gSRRT1Pq51oUHp2vbnG6Bvgg8EmgkCHQ510bImQlrBDdNMtEm8TqaGuvs1ZeetUcenmjDR63RI7ZIqPGtuZ2Yop/lmFHZkoQblTuFIcGmuP4TXxolEUZdm+SgkYAjB00IDI4KNhJ1yue/5QUbiTxy2bzzzsZ23z92tdVWm+YElPWdSPN3J9Y80eOsUT6NxBW5aBoaGrxg09TUZLW1tV6ckRiTquxJawe3jX6WqCNxR3OFkqqy8oG2wYabusDh7WzXr33VqocMzli2lui0GeHCh/Nx0MT+s8SBEIAABCAAAQh0E0Cg4UmAAAQgAIF+S6DOiTLnXX6bTXt3pkmkkUBzw8UnxOYxu8aJFpFoEjlYJM70JSRYi2Yj8KicRi2fS5xTQwJBtBuR3qta0uI5U6vp6M0qNPfF5562iRMfsoKqYb78KFr25F01bkhMCTk1Em7aXP6MOjm1lzlnjMudUaBwae0MXy6locwalT6pDEpijOYpn/eW7xKlbk8DXViwfpYDR+VRtW+12E1/L7fBg/Ns9uwfOHHmIyegrOm+T3VZMyct5YhR/oyGSqCC20bumtGjR3sBRq+NHDkyqZMmuHQk6jz33HM+yya09JYYNGz4CNtw4828YKMMm6qqQUs9H9HyNO3FyCGfOY1iP0wcCAEIQAACEIBAvyeAQNPvHwEAQAACEOi/BK684V6TSHPCEft7CN/40bF2wm/2t1133jIWFAXCqrQoDDlWip2jRS6avgw5YVSGlKwjU3S+xJyZUdWlPQJNEG2y6SaVOJ8EhxnvvmnXXXuNVQwbaUUDB/eUI/kSqCWlUCqBKmr41LfqlstGZUsNw8b1lDHJSaNcmtaBw61y1hTnvBnujp9rzYNHe1dNKIPSfOHn0O1pwMdTbfKk522Qc+Lcf//RTjR5zJUt/dgJLk3ue5lz0bQ658uvbMcdR3k0Kml6/fXXe4QYCS4qcVIZkwQXuWRU7hRcN6E0SufqGDlodEwIGg6OmuC4kVNHx62x5mhbZ+wGvQSbaFCzSsm0jwwIQAACEIAABCCQLQEEmmyJcTwEIAABCKy0BCTGqJRp9dWG+ns46Khz7fCD9rVtNx/nfz/53Otsm83G2b7f3CnWPTY6MUUOlTCyySxJtkCyjkzR4/ThP1nOjF5Xfo3KnBLDgdPdSAgOznO2j0SnjZwgcuG889brdtd9D9hHM2fYWutt6J0zEmJ8223nmpEzRk4ZCTFyyOj9ULIkMUeuGl/y5HJpVOak8/S75pCoozInOXBUNqUOTzo3ZNJ0fTrd/nP3P625udkLLxJYnnvu906Mmehu6ygn0pS6bBrn4HHfi4uvsu9+t7tkSUPuF4kxIZNG4oocMurutNpqq3k3jeaL5tsEVoltvfW6BBqJPomCzbe/8wM79dSTfbcsCWtipuBmBgQgAAEIQAACEMiWAAJNtsQ4HgIQgAAEVkoC57pSpkefnuwFml132tLOPuFQX9oUzZ3Z79A/2PWuxKlyYFmse2xt73S5L229jlWOjMqNoqVPsSZzB0loKXLdoBJbdUc7MCXmzEgUGuwcG8qZyc/L8yVW9a7Vd6b1JQYla8OdeK26JokODz/ymL322qv28pQpXqjJHzzKCzQhQDgILXpNIo2CgUMZlMQXlT41DRnbLeI4x02ny6opcZk1HUUVXrDpOd8FD+u90DGqeO7bVjt/rrW3t3uBRUKLOjtJsFH508svL3A/7+l+lkPmIyeiVDvHzHvODfMnJ6Z0hwwnBgZLaJHgMnfuXOvs7PTzhXIoiTPRYGGdn0zEkcPmiSeesPG/O95OOenYnj2vriQgOO7zznEQgAAEIAABCPQmgEDDEwEBCEAAAqs8gcRSpvGnXGqjnIsmlDYJwKQp0+zKG+/NKoNG581a0NyLX3VlcY+bIluwEluUAyMRRiMqzCSWLEXfq21s6ymL0vnKpVlY3+rEmkhAzpKLCS6cFicuNTZ39OpClep65aYZVlViBS749qNZ8+yOf/zDalvarHbhQqscObrHQeNbcbvSJTlqgigjoUUdmhQorOya+hGbekFGo618RE8WjQKF5aBRXk1+W11Pbo132yz8wF595nGrqanp5WB54403rLCw0Is1Y8Zsbrff/nsbOPBRN/O+3lUzatQ7PrumqOgq2223N3u6QqXKm1no7qe8vLynHCp0hwpum8BHIk7tojq75Iq/2Zc228yXNCkw2ocFu4BgtV9nQAACEIAABCAAgWwJINBkS4zjIQABCEBgpSOQWLqkQGCVN1121vgeB40cNipvCvkzKoeK46SRmNLqSlvCyFSmlAle6OSUmAsTPS9d22wdpwyZKhdY3NTqRBhXhqWRzoWT7pp0nkQnCTqdTvAZ6Jw3DU7YqVnUYDdff50TaeZZyci1ffcmCTQaPd2enACjnBo5YiTa6HWJNBJdVN60OL/Qlz4la8mtFt4KEpbQo7BinVM/b7bv2JTYpSkILgOcQiKBRY6Y2bN/6d01FRU7u+PXda+94rNrNKqrj+nJrtHvIa8m5NLIpaP8GoUOy1mjsqYQJixxRq25b/3nv23NtUa7Fuf5Trjqdj0pf0isGBCAAAQgAAEIQKAvBBBo+kKNcyAAAQhAYKUicPNdE305k8qawkh8bTcXEHzXdWf4Eig5bjSix6e64TqXQaNg3zDkUNGHdgUI92WMGFziy5OStcbOpm22hJVBA4vcXIu9gKTramrtiN1hSm6QCifydLtx2npah4d5dW+1DW3egfPBe+/YBeeebcNGrW7V623mhReVPkmQGVDoBIuWhu6yJlf6JKFGPytcWL8XNtX4nJrQGUquGnVyUjmUjpUwI1eOWnCrbGrmW6/a9OnTl2qXreuRkKJyJgkrb7zxiXPXNFq36LKBPfvsL52b5mV31Ld9bs0GGzzryqU28GVRxcV/clk16/ZslwQbCTEhv0bzSbTp6Oiw/IIi+9tN//DijIYYtznxSmLYQJc9IwcTAwIQgAAEIAABCPSFAAJNX6hxDgQgAIF+SkDChdwn0fHt3XeybbfoDtnN1dA1SXCRuPLT/Xazceut1etS9L4EmIl3XNgTEBxee+6BK/15yp9RNs2kV6Zl1clJobwLI12bQjnQ3NqWrHAEh0tZcYEXd6LdoULbbH3XexJF4gwdP2xQsSkEWGKKRIQ4I517J5yvINzgpgkunXYnxDzy0AP291v/aRs5saR67Y26XTOuZCm4Z9TRSWJMKIFSaHCJy6eRqCOxRs4avSdhpsUJMxpy0jS40ijl1FTOnmyNNXOtcdHCHieNhJRou2xlxoTXQjemmTPrnLum3b9eX7+VayX+azfzK64UakfvrtHX/Plrutc+dHP9rZcAJMFGeTP7H3CwHX38Kb0QSlCb78qbtCeDXVCzcn0YEIAABCAAAQhAoC8EEGj6Qo1zIAABCPRTAo8+1R2yqyFHys3/mmjXX3RCTgUaCS0HL+nGpGu7wolI5zinzNec2BIdKnPSiLpiJNooFLjChQJrjp9+bzfbd494HZzC3F3ug/kcFwocHcNdDklimG+qRyYxZ6ZgSX5JvSsjSpdBk+4RTMyn0bGDyot8uVMQU5Kdn20ZVNRN0+laSCmkOLhqprw8yT5wQbz33HePbfp/e1hxWXdgr1wxChLWd7lkVMrU6ro4hVwadXEaOG9aT2aNjvGvfTrVGodt6OeQSDP3g7d9eG+0XXZiqZKODeVQqimVAAAAIABJREFU0W5OcsQ0NhbaeusNc/k1Ozh3zPougPgHTqyZ684Y4+Z81OfXtLaqO9Rst86f7Ze/Hm9HHHVcL2w+c8YJNHNquvd/Nfcz+TP99P8cuW0IQAACEIDAciCAQLMcIDIFBCAAgf5GQPkswXESDdrNBQdlx6httsQVjXsnPO1FmoedWyY6Qu7MEa6t9redCBOEHblqlnXMc26ZaCCvQmPlVom6YJKtkcyp0pP50tbpy5KyaZutNVK5XyQmDHblOMppCSJK9Jp0nkp0dM0Sh+IOnafW35q/1jmJEu950aJau/+eu6yofKD9+9En7Etb7+DFGoUGh9bccsbISRNybEKZk15TO251fpJIo4ybxqEbOjeOKyWaPcXaaj+1RQvm+UuN0xpbx0Xza+SuUTcnhQHPnLmFbbfdHHfELu61ze3113ftQfCDHz1qF12+41JIlPUjZnI1ad8k1jAgAAEIQAACEIBAXwkg0PSVHOdBAAIQ6McEJIq86EqB/uUyW3I9Ql7M4U54CcOHAm8+bik3zLTpM+3IUy/14b8SmU48Yv+lnDZ9uZ/E8iGV/+gDe2K77DB3uiyZ0DZb2TFqmS3RI87QehKGuttsp+7OpGtTRs4iF2rb5rJpQvmU1ljk8nSyKZ+qKNN9drtmNELmzUL3e7I23+9Nf8f+98TD9umCGpvdWWrrrL2Oz6FRBycJMKHbk8qh5JxRG26VOel9OWx0jLJrQktuvVbz9kv21OOP+nDg4JLRtSQTbJQjI1FGWTVhBMFm/fXX9++1tXXfS03N/9knn7zhfn/ITj+r3Q49bGnRKhoIrdK0Qa7EiQEBCEAAAhCAAAT6SgCBpq/kOA8CEIBAPyWgrBc5VCTOyLmS66HMGAkyUcdM4mtyy6iMKXRl0u/L89qbnVtGokQYclZUlH7WLju8nq6EKPqehB05URQ4W1yQlzZ3Rs4VuTiUfZLYijvV3hS6dtmDK4q9GKN1454X5kuXUROyaST2JLppgjtIrqCJjzxmTzz2sLV0dFrx2G2ssmORtQweYyULP/QZNEUdjdbV2dkjxnQoWNg5aVoGjfFCjtw0yqsprZ3hukt12ZTn/mcffaTAX9fm3GXGSISprq7uQaByqKKioqXEmRAGrPPC0LGlZeX2+tQbbY01R9s/722xqqqlaUoQU0C0hK5Bbq/K3D4wIAABCEAAAhCAQF8JIND0lRznQQACEOiHBCRsqLQpWcZLLnF8w2XJ/MY5aKL5MdvvdXiPiCQBZ9zYtXrKoJb3tbZ3dNk8FxQbHaFdtl7LlCUjJ0YqgUWCh74W1rf2KqPSvHHCfJPdaxBKJNAo8iZu8HDcjJqQTdPt5nHttV2mcbjH2sY2L2iEoRKot96YajfedL0tdj2519x5XxuY1+5zaYpd5yYNtdlWWZN30LjX5K6Re0Zhw03VzmnjujsVz33bZrw33SZNmmTjxo2z999/34s1I0eO9M4YiTWjRo3qWVduGgk5G2ywQc9r6gA1efJkKy0ttcuvvsnGjl3bC21qMR7uI3GPP3X5Q7q/ES53KN8JXwwIQAACEIAABCDQVwIINH0lx3kQgAAE+iEBCSEbOqHjeFcaFEbUmZIrJCF3Rq6e4JIJAcByyqicKby+oq5xdo0TESLNlYZVFfvyJLlpJLAky5KJ2zZbjheVDyngV9k2QShROVRccaVnvxLEoHSOlyirvohBQVySEKQQ4XSlV1pLYs2Lzz1t9z/yuC2aP8c2++YPuwWazg5T9ye131b5U4Fr4V3vujpp+G5PS1w1zR+9YR0Ntc5R092tSgLMxIkTvUgjsUadnkaPHu3yZV5P6qZRp6a9997bzjrnT1ZZOcg7iyS+yaEkd0yT4x/yeUJJmYQ5uZhGDildUY8W80IAAhCAAAQg0E8IIND0k43mNiEAAQgsKwGJHONPuXSpabZ1WS/R/JdlXaev54dcnMN/tq+9/d5M3y77Bteh6fMaia2xVf4iccaH7iZkwvSlbXYQBNRhuy9lSboWdXKSG6TRhQBHs2bC3K1OjEh0isR1zSTjHIKH9V6yuVPtjdbM62yy/zw4wf7z1CSbX9dgX9pmB7Nh63qRJrTmVjcoZdjIXaMOT8WuXXfx3Gm2aO4smzNnjg8AjnZ5kpPm2Wef7XHWKHcmlERJyDnmmGPs8PHHeiFMvKpc+LE4qVxLQ5k7RQX5JheQum0VOIFM5WgKc9Z+MyAAAQhAAAIQgMCyEECgWRZ6nAsBCEAAAl8oAnLSKLw4WUDwir5QfajXB/kgvgRxJhrym6nUKd01SgRQtySFB2vMr2tNGsSbOEd0zYWu25DKjpINuUAq3PzRzJu+uGY0d5irpDC/p914qhKnxGsJwoicQqEl+FtvvGbPPvOUzXUCy6y8aluzeqAtXm2clThBRkMijX5WJo2yaooXfmDPTnzAJMCEEW23LSeNfpeAo5bbNTU1dtppp9tPD/l1r/IrnRscRnLPKG+m0GUCqeypsMBl9zjhTddY5fJndBwDAhCAAAQgAAEILAsBBJploce5EIAABCAAgSUEVAoj8UMOC5XGdHQsdkG8RS6bpjujJCp26IN+si5HyWAmc7AEsWOBE2nSdV3qi8AiIUiCg+5HDpFMayQThKori5OWdIVw4lSZLnHu67ln/mfPPf+8zZj5oQ3fclcX5lvmgoRdZo3r9qTW2+1lQyzflUAVdrVZ3awPrampqVdr7WgYsAKCGxoa7J5777OBg0emZBkVnEKgskrYlDkjIUn3VezEKAYEIAABCEAAAhBYFgIINMtCj3MhAAEIQAACEQIqDwoZJXpZgoMEjwHuE36b61aUKYMlEaZcGTpfZVLBTRKOkdNksMulSdUtKZTjZCuwhFIorZNKSEm16UFgSRZoHM6Jih0hMDiECiunRvcTV7ySWPOM+3r1rXdsva2+bIXr7eBLoNSa2/P/dKrNe+9133I72lpb7+k1lTw98J//WmX1qFjtxSXEVLoyMQ05aBQQLDfNQLfPDAhAAAIQgAAEILCsBBBolpUg50MAAhCAAASWEJAY0rqkQ1Fwvkhg0ZhXm97tEoUYuixlEnWibauDMNQX14zWTlaWpDbfKlNKJ7jo3KjAEleECkKQ7lGuIwlQiSJUpgcrCEKz59XZO+9Ms7vu+qe9MbfR1h29hlWN284HClfOnmyNNXOtcdFCP13o1JSfn2+33nGXDR42KrYgFO512KDultwSzlrausifybRRvA8BCEAAAhCAQCwCCDSxMHEQBCAAAQhAIDMBfVhf2NDqu/6obXYQHUI3o0xulmg5k8JnJQBkGhJW5KTpcraT/Lw8f3htQ1ssR0iYO4glyTpNBadOgwsWTiaghCBglW01u3KfbIYEoLLifHPGGR+8G22/nW4e3bPKsPLcD3LcRMu81AnqhWeftpkfTrdnPlhoq2+0pY3qnG8tc2eYWmurU9NPf/pTO+WPZ/VyO8W57tBNS2JYqwtblntG9699Y0AAAhCAAAQgAIFlJYBAs6wEOR8CEIAABCCQQKDZCSt1CcKBhAiF8NY4l017Z6Qf9/+3d38hlp73fcBf7e7s6M+utNpKtKSgm9RkQ1psCyRakKFYjZzQgNbIF8bYiQLqjWQvDRi0VLIuHLmVIOCwqXQliGIHE2iMZWpobGMTyJYGu6hOi+iWuDeCmJpIlrS70v4f9fme1bN69+g9M+fMc87ZmZ3PA4s9M+f9cz7v0cX58nt+v/eO3WzlSw5PJckt722zmaVSpx6bMGm9gKRWyKRB8Rsl/MkWpBqSpPplo+Bp/ANSGyknVErAksa7dcLU+BSpoWMn9bgZf23Cmv/8rT/v/vv//F8lxFrtXnnlle5ff+LXr0xqmuWDm0qoOCf8yvPL+7+j9NrJvVsECBAgQIAAgXkICGjmoegcBAgQIECgJ5AGuxm7Pd7ANxUYB8uX+oQQaS6bVUdcp8HwtNuD6qXGt0Ktlr40CYESomxUjVKPnaXPTN1SlOqeTJQaqrjZ6INQGwWPH9vfYjVpS1UNSfoTnja6Xv37hbOnuzf+/u+6f/rPPrzhlq3xcyZc21eqZWoQddlu76iJskWAAAECBAgQmJeAgGZeks5DgAABAgR6AhdL4PL6yQ+GNP2+MXl5qlfqZKBpARNm1G1U48fWAGS9ni7Tjrweup+DZTJVgpJsaUqV0CxrmilNk7ZbTXPspHvpH5uKl4RL0wZT49cVzszyxL2WAAECBAgQmEVAQDOLltcSIECAwHUl8NJfHO9+/JMT3T0fOdQd/o375v7eJoU0+dKfSpc0FP7FqXMzNalNOJKAYb0GwnVLUqpy+iHKtM2HhyD6lT5vn7lUphmtjF42Tb+b/pamaaqEajXNaglT3irVOqlgSX+daa41fu91kla/omloktTQexbOzP0/CSckQIAAAQIE1hEQ0Ph4ECBAgMCOFHj43z7T3VuCmV/55bu65//kpVFIc/Tzn5m7RUKaN05dKH1L1kbbmTL+eqVsjXnz9IXuwL4S0pTtUNNUovQbCE/bUDchSkKOhBMJOTZTrROQSY2Aa/Pj9e5n0pamaaBzzwdKA+QEWdleNMuqzZMvrr070TfVOmn0m946482Ga7DzWrlueu5stnLmoUee6j73qQfWDQD/7v+91v3jf3THLG/PawkQIECAAIHrUEBAcx0+VG+JAAECBNYXOPHTV7snnnmh++YLXx698OTpd7p8kX7s4cMLqaRZKyFBGgevlpHV/S1JtdFu7iEBQYKAodXSQDghTbZDZepQQqHxvjjrSU3TCLgGMNkyNB40tWxL6vebSW+dG8rNTFtBMzR+fL33maBpX6lqqpOqEpxlxSsrgVp6zuzaxLSmfLb+9M+/1+Uz99mHHuju/eihK7dy4m9f7b7wpWNdZkDt33dz95XHH+kOfegu//kSIECAAAECO1RAQLNDH7y3TYAAgZ0skC/LX3jyWPf9P/uDEUMqGF76L8e7l757/MrvFuGTEGZoVHWtdKnVGvXa/aqZWScl5Rw1IMk1U40yS3PdWSpfapBTtyGNrl0qhYbGYE/jOhTsJLDJaO1J477reafpwTN0D3Vb2MqeG0YNllN1lJXrHshI702EM/3r5DOWUDCVMo+WIDAroeCLXz06CmXy91R11c/kNE5eQ4AAAQIECFxfAgKa6+t5ejcECBAgMKXAr3/6i90fPX2k++Hxl7tvlV40t5YKhgQ3Xzn6yEKqaOptpQqkTnDq3+p4KJGqjoQcb5+5WKpuLk75ri6/bKjXTO0hM82Wqs1WvtRKlFQCbWbC03jQM17tU7ctTaqmSQiVe6ijsGdB60+1urFUOqUi6FIZp51QaJ7rR//jxCiQOVICwmyxq2FNDWyOlc+k7U7zFHcuAgQIECCwfQQENNvnWblTAgQIEJijQBoEP//iS6PtTd8rlTQJaPJzwpoX//DoQr8kZytQpiCNr9rTJb9PODHtlp6hoGdoMlQ/ABlqTtwPdtbbcjXpMdRgJ3+fdkpSPdcs25LGtyTlHJsNlfqBVg2V4nTnbTeWMdrZfDT/lZDmiWcvb7HL5y4rn8MHSmhYP4vzv6ozEiBAgAABAltdQECz1Z+Q+yNAgACBhQmkiibVCglksrLN6ZnnvtHdf9/do0qaRa5UxZwqE4r6q4YMZWBR9/pb50pj4QlNaQZubJYJTUNhxqRGwNMY1K1YdUvTWimhyZSq2qB4o743/X4zQ1vAhu6hbknK3y6trY36xPQnNU1z33lNdeuPJc+9x2hRK1udDv2Tu0bNg+t65j9+oztVQpqhz92z5W8PfuI+/WkW9UCclwABAgQIbBEBAc0WeRBugwABAgSWL5C+H6layBflBDVfK81cH/udw91zZapTvihnC8oiVw1pxsOVtDs5eOvqqHHw2dJceKNVA5ehqplJx2aC0e1lQlJ6uqTvSmvAMbSlKVuOEnas1zempfKlVrok0Mr47mnDnWqSfjWZEpXnUJ0XHc7k2uk1k61N9fOVZsEP/94zo4qa8e1NXy+fyVR7pcImwWGOq1U3G30u/J0AAQIECBDYXgICmu31vNwtAQIECMxZINUMPyh9aA7/xn1Xgpr8LlN1FjF2e/z2z5cx26k8GQ9Xamhz+syFwZ41OU+/imQz26FSuXJw/+bGWOf604zZ7ve+ScVQnVSVcGWWKptxt/6WqPT0SdCSNa1Drdrp96tZRjiTe0y1TEKWhC21OfBvl5CwX1GT1+Vvv1vCnD9+b8tdwpr8e7pMe+pPg5rzfxJOR4AAAQIECFwjAQHNNYJ3WQIECBDYGgK1iia9P2r1QrY6/fhvToy+QGfbyS+V6ppFVi2cPZ+pQec+ALJeX5ahPiyziNbKlTfKtKI0I862pGn7zmzUzHfoPjKpKs133yjvs7TXKWOrVzfVSDjnnjSpaVqTGiz1J2OlmijbvJaxUg3zZAkB05Q6/z/j3cfDmdxHKm2yEhRmS1RWXr/Iz+Iy3r9rECBAgAABAsMCAhqfDAIECBDY8QL95sDBSM+P/12+PGfVL8PZfrLIda5MDUoPlVphUq9VK1CyBSdbcVqrZiY1Ap52q9EszXzHveqo7LzHfs+XWVxruJKgZ6hHz0Y+4+/z8mSo1TJOu+yTWvIaD1vGf04z4f/zf18dVXiNT3xa8q26HAECBAgQILAEAQHNEpBdggABAgS2vkDdPpK2vKma6TcKfuiRp7pHS2+a+z9290LfyIWy3em1k+c+ENIkRDi4f7X8/t0uvWM2M3o7N55wI31hMkHqTNkWNL5qz5g3yijw8xfWPvD3abY0rQdUw5E0Dc57yXXGA6lpju9Xvkx6fa2m6ffxGQpn7iiVPCt7lh/OjN93+szkM5ggMFVd2WLXr5RJQ+ujj31m4Z/BhX7AnZwAAQIECBBYV0BA4wNCgAABAgTGBNKD5p4PH+oO/+Z9o7+kwiZfmIe2ocwb7+Klte71k+dHY7brqlOSUoFyqUx2Ggpx1ruPevw0jYCHtg/VLU3THD90H0P9ZuqWpzffHg6Dxs+T1087Farvlt40CYMuFs8cX+0uVwLtLaO0FxvOJGz5dglfsk0ufY4mrVTPJBjMNru6xa4/0SnbnQ6XSU71Mznvz53zESBAgAABAtdeQEBz7Z+BOyBAgACBLSaQL9VZtSfNkSePdZ996IGlNWbthzTpi7L/ppUr/VpSBZKgZtqR0qm4OXDL3pn6vdRtQhdKWHTm7KXu9tJIeGhK0zSPbb0tUfXe1tvu1G8yfLJMtdrMuvO2y1UyMctWsWWFM6mIyWSwNADOZyo9Z+pI9/XeR20cnNfmM5gpTw/9m6e6//ad5/Wf2cwHwDEECBAgQGCbCAhotsmDcpsECBAgcG0EUtnwqbLFKU2El7kS0py/WLY0lWBhfEvPtP1ipn3dpPdVg41sE5p1hHXOOW0AM2kCU0u/m1w/lTvZwpRQJv9ynXNlG9mNJbRadOXM0OjsBH0PliqYabbKpf/ME8++MApkEuykUfAyKriW+Rl3LQIECBAgQOBqAQGNTwQBAgQIEFhHIF+Uv/3d413dbpJeIfd85NAHeoQsAnGtbMvJdqdUsoyv9IvZVyprhprlTmoEPO099rckJdi4aXXP4HXWO9+s4dB4f5tJk5qmfQ9D4U62aN15YHXaUzS9LluS0seoH6qMb52b5gJD/WimOc5rCBAgQIAAge0nIKDZfs/MHRMgQIDAEgWeKROdDv3yXd09Hz3UpQKijjvOLfR7hCzqltYLaVKhkvHQ/aa+GzUC3ug+h4ONG8o2p9WpJi8N9ZvZ6Jr177XiJtVDqXCZNKlpo/NNCmfSc2ZX6T2z6JVQ7/k/eemq7UwJWtJsOpVYxmQv+gk4PwECBAgQ2J4CAprt+dzcNQECBAgsSSBVD9likq1OX3n8kVEfmlRH1G0n6zV+ndctJqQ5+c6F7p2ByUv9SpOVPTd0m23km3tdL9yZphdMDUbOlpHhm+0Xk2bAqQ5KM+Rp++z0nes9nD7zvlfOd+vNK0sJZ3Iv+cwkyBuvnkmj6WxVsggQIECAAAECQwICGp8LAgQIECCwjkC2NP2sVD88+vDhK68aTdQpE3meK9OdaiPXZSC+WcZSD4U0CSBG/VXKaOz0q5l11aqXG1d2f6DfTf9cdZrT7l1puHv1OPBp+s1sdF/9SU1phLyvNETuj8ne6PiEVQdLz5n+MdVmo2Pn+fdadVUnLmWK038olViqZ+ap7FwECBAgQOD6ExDQXH/P1DsiQIAAgQULJKBJMJNKiWVXRZw6c7E7Vapp6qq9XjKuetZpTTnHZhrxjveXqT+3bEk6WCZFpYFvv/KmVgelIifvuUzLnrgSxKQCKCHWhVJ9k7W/VM3k3pa9ssXp2ee+0X2uTP762c9fG01yevGrR7tDH7pr2bfiegQIECBAgMA2EhDQbKOH5VYJECBAYGsI1ICmjkP+1bKdJVta+lU2i7zThDTvnL3Y/YNMKOqFF3Vq0XjQMeleMsI7W3+yferMwPap9d5D7X9zoYQqCXk2sx1pmoBomp42tcFwf9rVvMOZPOsfHn+5+5XSjyjb3DZaef3zpcIqAV62OtWR7Rsd5+8ECBAgQIDAzhUQ0OzcZ++dEyBAgMAmBcYDmlOlP82yt6+kmiRVM0PByoF9pd9KSTbSPHhS1Um2E220pWk9nlp5U3Y7dW+nqqf8m3XNMqkpIUy2PJ0u1+mP/B6aFjXvcCZBy7fKNqVPlm1tP/rJie7eMsVrWWHcrKZeT4AAAQIECGxfAQHN9n127pwAAQIErpFAAppUzPygVFT80dNHuq+XLSypkFj2l/YEFem3MrT6/VwulSbDdc2jkW+/38w75y6OJkllrRcIjd9jrXqZZVtUv1FxtjztK6FNetX0q3duK8FTzj2vle1KTzz7wlW9hjKN6fHS7DdBjUWAAAECBAgQmJeAgGZeks5DgAABAjtGIE1gMyq5BjLZzpIqmgQ1me6UBsL9CT6LhEkFTYKRoTVeXdKypamef1K/maFKlknve5bXjp+jbnmqk55eK02Ra5VQgqK8x3mtTO564NNf7I79/pGrtjUloMmI9f7I9Xld03kIECBAgACBnSsgoNm5z947J0CAAIE5CqSqJhUVD5ZwJmuZPUfOlT40qSIZ2s5UK1XOX7zU7d2z/pSm9Tim6QWT0CTbixIYnS8TpYbWpMqeaR9F7qNW7Kzs2TXa8pQqnjtKP578PM+VrU0J3xLG1JWKmiNfOrb0LW3zfF/ORYAAAQIECGxNAQHN1nwu7ooAAQIEtpFAKi0+Vaoq0ocmK1/qf1y+yH/8Y3ePKm2WsdKst19NUq+ZbUF3Hlgd/fj6W+euTDia5Z5m2RY1qa9Mf3tSf1LTLPdRmyCfPV+mOpVgpp4z/7ur/Jv3SvXM048/clX1TIK4+++7e7BCqvanmfd9OB8BAgQIECCwMwQENDvjOXuXBAgQILBggXyZT0BTG8qmgiZBTcZxL6ua5uKlte71k+e72nMm233Sp+Wdsg3qfKmyOViqTNK7JT9Pu2rgcqZUqUzbCDiByYGy3ejS2tqoR04aFmfi1CznGL+/oXHgl3+3t9uze76VM/Xa41uZsrUtW9jyTMdXtrc9Vypusu0pFTfLeubTPkevI0CAAAECBLa+gIBm6z8jd0iAAAEC20DgiWdeGI1U/lkJZY6VxsFZCWtSVTH0hX5Rb6mGNNludNPqnhLYnLsS2NSQI82F+5OQJt3LpH4z09573c50Qwlopr3m0LmvRThTn18aQT/6O4e7H/7Xl688y/Hw5cTfvto9/HvPdC9+9WiXaqpnn/vGUvsQTfs8vI4AAQIECBDY2gICmq39fNwdAQIECGwTgVTLpIrmaJnuUxsE58v6v/itR7tX/vLFpb+LVMm8VcZwj/elGQo7hm6udQx3zln73+T/zzKtqX8/9X5Pn3m/8mfRlTP966fnzLe/e3wUvuW5joczee7Z9vSvyranTHbKynP/01JR89ny+mVtcVv6B8wFCRAgQIAAgbkLCGjmTuqEBAgQILBTBer2prqtqY5o/v57vWmW6ZJKmjdOXSg9Zz7YrLf2cjlX+taM94OZpd/Meu+nP6lp9+6y5emWvTNX0WR7VbZlZZtU+s5krZTtTLfvX1nYtqaNnlECmYQ1NXipYUwqpbJsb9pI0N8JECBAgACBSQICGp8NAgQIECAwR4GENF8r1RNpJJsv80cf+0x36EN3dT/4q5e7n/38te7j5ffL6k+ytvbuqCfNpJDmtltWRu88AUgqbTbTb2acLuFPzpsgJZOlaj+cWZsEZ4vWvpvKRKhT7zc2zjnTc2YRDYGn/QikWiZj1PMvz7f/LNOHJluilrmlbdr79joCBAgQIEBg6wsIaLb+M3KHBAgQILDNBPLFvX55zxf4NJc9Vba9ZOUL/Ddf+PLSQppc880y9npSY+DaJyYVKulZs9mtSLnORiFMDW9270p4c25wLHjO06++qQFPAps0Hr7WKxUztXomW9rSbyiNgbPqNrdrsaXtWru4PgECBAgQINAuIKBpN3QGAgQIECAwUSAVNflSn940WUeePNY9+In7uvvLCO5lrvVCmjtvW+1W9uwajek+f+GDW6Kmuc9pe9v0A5ihMGgonMkkqgRJW22lMXQCuEcfPjy6tfWmPG21e3c/BAgQIECAwNYTENBsvWfijggQIEDgOhLIl/asGtBki8w9Hz7U3fORQ929Hz201HeaMdkZs11Xv9/Mu2U71PjUp2lvbu9K6QtTqltmGeE9dEzCmRv37r5qa9T+m1dGFTVbcSV4S+BW17LHqm9FE/dEgAABAgQIbF5AQLN5O0cSIECAAIENBfKl/aFHnhr1LMkI7jSYzZaY9Kn5ZPldrb7Y8ERzekENaYb6zWQbUSpVXn/r/b4vG122TmrazNaoftXNDbtu6Fbfq+Kpk6e2cjjTd0kz6GxhS6+hZfUX2ui5+DsBAgQIECCw/QQENNvvmbke34i+AAANoUlEQVRjAgQIENhmAqm0+Pp/+t6oSXCm/GSd+Omr3RdK9cW1mPB0vkxv2lUawgyFKrWypT85aRL30HakWR9NQpp/ePuN3VpJZX7+xtkrfWmuRThTewelx0ztKzPr+/F6AgQIECBAgMBmBQQ0m5VzHAECBAgQmEEgvWiyasVMQps0mf3r7zx/1Vky7SlVNove/nT2/NqoUe/QqtU1b5+9OBqNPb7S7Ddbmm4o/2e9Zr8b8dSmwnWEdt1ita9saUplzrLXs2U7Wp7LS39xvPvK4490h3/zvmXfgusRIECAAAECO1hAQLODH763ToAAAQLLE0jFTPrPHPv9I92t+2/u0mA2254+96kHRjeR6o38/VfL9qeEBFmptlnklpkz5y51b5QJT0NrUtPfft+ak2U892bX0Pm3wqSmBGl10tZm35vjCBAgQIAAAQKbERDQbEbNMQQIECBAYBMCXy99Z/Lvl8rknzQN7m+jSTPhbK3pTwT68U9OdH/8h0evjHXexCU3PORC2e6U6U2170v/gH6FS3rXzDKpab0LD50nVTl33Hp5mtS1Wuklc+RLx5Y+Bv1avV/XJUCAAAECBLaWgIBmaz0Pd0OAAAECO1Qg1TMJZ+4t053qyu/y86IbCSek+cWp892lMslpfCU4Obh/tQQ4747Ck1kmNQ09yrp96vSZC907pYInqwZB1zKcSdVSmjl/vjyDB0tlk0WAAAECBAgQWLaAgGbZ4q5HgAABAgQGBNL3JBUztYlwXlK3Pb1YqmgWudUp17p4aa17/eRwSJNmwLeUf5cuvTux2maah5pw5mCpkuk3IL5cTbO327N7+ZUzCWVStZSVMCwVTXUc+jTvx2sIECBAgAABAvMUENDMU9O5CBAgQIDAFAIJBn43/WiePnIleKlhzGOlgiO9aepKr5oEB7VXzRSn3/RLhkKa/qSm9Ii5ce/uidU26104x+67aeWqyVHXMpzJvabfzI9KKBbf2nemBjabRnQgAQIECBAgQGCTAgKaTcI5jAABAgQIbFYgfWhSMZOg5psvfPlKFUd+l140+V2tmMlrs5YR0OQ6NaTJ2OtMaspKI+Hao2Yzo7WHjrnW4Ux9dj88/nL3795r2Kx6ZrOfaMcRIECAAAEC8xAQ0MxD0TkIECBAgMAMAkeePNY9XSY0ZaxzRmr3g4FUdXy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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pu.plot_timestep(sharpy_output, tstep=-1, minus_mstar=(wake_panels - 6), plotly=True,custom_scaling=False,z_compression=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamic simulation\n", "Finally, we will run a dynamic simulation after the previous static one. With that in mind, we will now include a dynamic FSI solver (``DynamicCoupled``) in the simulation." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "SimInfo.solvers['SHARPy']['flow'] = ['BeamLoader',\n", " 'AerogridLoader',\n", " 'StaticCoupled',\n", " 'DynamicCoupled']\n", "\n", "SimInfo.solvers['SHARPy']['route'] = './'\n", "SimInfo.solvers['SHARPy']['case'] = 'dynamic'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need information about the time step and the number of iterations:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# Compute the number of time steps needed based on the previous parameters\n", "time_steps = int(end_time/dt)\n", "\n", "# Define the time step and the number of time steps in every solver that requires them as input\n", "SimInfo.set_variable_all_dicts('dt', dt)\n", "SimInfo.define_num_steps(time_steps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define the approximation we are going to use for the wake convection (``convection_scheme``), the velocity field and deactivate the gravity.\n", "\n", "We are going to use an FSI solver (``DynamicCoupled``) that couples a structual solver (``NonLinearDynamicPrescribedStep``) and aerodynamic solver (``StepUvlm``).\n", "\n", "Moreover, the FSI solver runs a series of postprocessors after each time step. Specifically, it will save a plot of the structure (``BeamPlot``) and of the aerodynamic surfaces (``AerogridPlot``)." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "SimInfo.solvers['StepUvlm']['convection_scheme'] = 2\n", "SimInfo.solvers['StaticUvlm']['velocity_field_generator'] = 'SteadyVelocityField'\n", "SimInfo.solvers['StepUvlm']['velocity_field_input'] = {'u_inf' : WSP,\n", " 'u_inf_direction' : np.array(\n", " [np.cos(aoa_end_deg*deg2rad),\n", " 0.,\n", " np.sin(aoa_end_deg*deg2rad)])}\n", "\n", "SimInfo.solvers['NonLinearDynamicPrescribedStep']['gravity_on'] = False\n", "\n", "SimInfo.solvers['DynamicCoupled']['structural_solver'] = 'NonLinearDynamicPrescribedStep'\n", "SimInfo.solvers['DynamicCoupled']['structural_solver_settings'] = SimInfo.solvers['NonLinearDynamicPrescribedStep']\n", "SimInfo.solvers['DynamicCoupled']['aero_solver'] = 'StepUvlm'\n", "SimInfo.solvers['DynamicCoupled']['aero_solver_settings'] = SimInfo.solvers['StepUvlm']\n", "SimInfo.solvers['DynamicCoupled']['postprocessors'] = ['BeamPlot', 'AerogridPlot']\n", "SimInfo.solvers['DynamicCoupled']['postprocessors_settings'] = {'BeamPlot': SimInfo.solvers['BeamPlot'],\n", " 'AerogridPlot': SimInfo.solvers['AerogridPlot']}\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we need to define the movement of the whole wing through its velocity and acceleration. In this case we want a clamped structure so we will set every thing to zero.\n", "\n", "Moreover, we can define forces applied together with the aerodynamic ones. In this case they will be set to zero." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "SimInfo.with_forced_vel = True\n", "SimInfo.for_vel = np.zeros((time_steps,6), dtype=float)\n", "SimInfo.for_acc = np.zeros((time_steps,6), dtype=float)\n", "SimInfo.with_dynamic_forces = True\n", "SimInfo.dynamic_forces = np.zeros((time_steps,wing.StructuralInformation.num_node,6),\n", " dtype=float)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We write the input files required by SHARPy again:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "gc.clean_test_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n", "wing.generate_h5_files(SimInfo.solvers['SHARPy']['route'], SimInfo.solvers['SHARPy']['case'])\n", "SimInfo.generate_solver_file()\n", "SimInfo.generate_dyn_file(time_steps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we run the simulation:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------------------------------------\u001b[0m\n", " ###### ## ## ### ######## ######## ## ##\u001b[0m\n", " ## ## ## ## ## ## ## ## ## ## ## ##\u001b[0m\n", " ## ## ## ## ## ## ## ## ## ####\u001b[0m\n", " ###### ######### ## ## ######## ######## ##\u001b[0m\n", " ## ## ## ######### ## ## ## ##\u001b[0m\n", " ## ## ## ## ## ## ## ## ## ##\u001b[0m\n", " ###### ## ## ## ## ## ## ## ##\u001b[0m\n", "--------------------------------------------------------------------------------\u001b[0m\n", "Aeroelastics Lab, Aeronautics Department.\u001b[0m\n", " Copyright (c), Imperial College London.\u001b[0m\n", " All rights reserved.\u001b[0m\n", " License available at https://github.com/imperialcollegelondon/sharpy\u001b[0m\n", "\u001b[36mRunning SHARPy from /home/loca/Downloads/sharpy copy/sharpy/docs/source/content/example_notebooks\u001b[0m\n", "\u001b[36mSHARPy being run is in /home/loca/anaconda3/envs/sharpy/lib/python3.10/site-packages\u001b[0m\n", "SHARPy output folder set\u001b[0m\n", "\u001b[34m\t./output//dynamic/\u001b[0m\n", "\u001b[36mGenerating an instance of BeamLoader\u001b[0m\n", "\u001b[36mGenerating an instance of AerogridLoader\u001b[0m\n", "Variable dx1 has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: -1.0\u001b[0m\n", "Variable ndx1 has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: 1\u001b[0m\n", "Variable r has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: 1.0\u001b[0m\n", "Variable dxmax has no assigned value in the settings file.\u001b[0m\n", "\u001b[34m will default to the value: -1.0\u001b[0m\n", "\u001b[34mThe aerodynamic grid contains 1 surfaces\u001b[0m\n", "\u001b[34m Surface 0, M=4, N=20\u001b[0m\n", " Wake 0, M=400, N=20\u001b[0m\n", " In total: 80 bound panels\u001b[0m\n", " In total: 8000 wake panels\u001b[0m\n", " Total number of panels = 8080\u001b[0m\n", "\u001b[36mGenerating an instance of StaticCoupled\u001b[0m\n", "\u001b[36mGenerating an instance of NonLinearStatic\u001b[0m\n", "\u001b[36mGenerating an instance of StaticUvlm\u001b[0m\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "fatal: not a git repository (or any of the parent directories): .git\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0m\n", "\u001b[0m\n", "\u001b[0m\n", "|=====|=====|============|==========|==========|==========|==========|==========|==========|\u001b[0m\n", "|iter |step | log10(res) | Fx | Fy | Fz | Mx | My | Mz |\u001b[0m\n", "|=====|=====|============|==========|==========|==========|==========|==========|==========|\u001b[0m\n", " DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "LoadStep Subiter DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "| 0 | 0 | 0.00000 | -0.0187 | -0.0006 | 0.6029 | 4.8229 | 0.1523 | 0.1495 |\u001b[0m\n", " DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "LoadStep Subiter DeltaF DeltaX Res ResRel ResFrc ResRelFrc ResMmt ResRelMmt ErX ErPos ErPsi\n", "| 1 | 0 | -9.22874 | -0.0188 | -0.0006 | 0.6043 | 4.8366 | 0.1526 | 0.1504 |\u001b[0m\n", "\u001b[36mGenerating an instance of DynamicCoupled\u001b[0m\n", "\u001b[36mGenerating an instance of NonLinearDynamicPrescribedStep\u001b[0m\n", "\u001b[36mGenerating an instance of StepUvlm\u001b[0m\n", "\u001b[36mGenerating an instance of BeamPlot\u001b[0m\n", "\u001b[36mGenerating an instance of AerogridPlot\u001b[0m\n", "\u001b[0m\n", "\u001b[0m\n", "\u001b[0m\n", "|=======|========|======|==============|==============|==============|==============|==============|\u001b[0m\n", "| ts | t | iter | struc ratio | iter time | residual vel | FoR_vel(x) | FoR_vel(z) |\u001b[0m\n", "|=======|========|======|==============|==============|==============|==============|==============|\u001b[0m\n", "| 1 | 0.1250 | 4 | 0.406694 | 2.468390 | -5.501499 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 2 | 0.2500 | 3 | 0.488530 | 2.521077 | -5.442787 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 3 | 0.3750 | 3 | 0.341496 | 1.847399 | -5.640521 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 4 | 0.5000 | 3 | 0.307099 | 1.716782 | -5.645651 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 5 | 0.6250 | 3 | 0.387260 | 1.940912 | -5.889684 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 6 | 0.7500 | 3 | 0.304108 | 1.657786 | -5.914635 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 7 | 0.8750 | 3 | 0.071527 | 1.164022 | -6.040009 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 8 | 1.0000 | 3 | 0.069586 | 1.161729 | -5.925998 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 9 | 1.1250 | 3 | 0.068879 | 1.164142 | -5.836958 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 10 | 1.2500 | 3 | 0.068450 | 1.162696 | -5.632144 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 11 | 1.3750 | 3 | 0.068106 | 1.162670 | -5.513670 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 12 | 1.5000 | 3 | 0.077652 | 1.170546 | -5.471589 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 13 | 1.6250 | 3 | 0.070499 | 1.172093 | -5.423647 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 14 | 1.7500 | 3 | 0.066050 | 1.159820 | -5.451292 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 15 | 1.8750 | 3 | 0.066831 | 1.159918 | -5.503924 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 16 | 2.0000 | 3 | 0.076779 | 1.171578 | -5.521127 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 17 | 2.1250 | 3 | 0.069862 | 1.168248 | -5.649248 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 18 | 2.2500 | 3 | 0.295345 | 1.482039 | -5.852560 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 19 | 2.3750 | 3 | 0.065010 | 1.166991 | -6.169248 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 20 | 2.5000 | 3 | 0.088990 | 1.190061 | -6.501434 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 21 | 2.6250 | 3 | 0.070542 | 1.172962 | -5.911316 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 22 | 2.7500 | 3 | 0.073701 | 1.205343 | -5.844249 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 23 | 2.8750 | 3 | 0.069573 | 1.208120 | -5.662014 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 24 | 3.0000 | 3 | 0.065514 | 1.184485 | -5.623002 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 25 | 3.1250 | 3 | 0.068776 | 1.164661 | -5.695734 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 26 | 3.2500 | 3 | 0.154359 | 1.276498 | -5.679340 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 27 | 3.3750 | 3 | 0.070216 | 1.205452 | -5.742054 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 28 | 3.5000 | 3 | 0.067111 | 1.184687 | -5.934912 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 29 | 3.6250 | 3 | 0.081985 | 1.188525 | -6.170404 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 30 | 3.7500 | 3 | 0.075176 | 1.174604 | -6.498959 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 31 | 3.8750 | 3 | 0.068256 | 1.167637 | -6.054012 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 32 | 4.0000 | 3 | 0.073072 | 1.176508 | -6.023555 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 33 | 4.1250 | 3 | 0.070665 | 1.172659 | -5.782342 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 34 | 4.2500 | 3 | 0.073685 | 1.172562 | -5.673256 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 35 | 4.3750 | 3 | 0.073392 | 1.185722 | -5.733463 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 36 | 4.5000 | 3 | 0.077823 | 1.177345 | -5.705716 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 37 | 4.6250 | 3 | 0.065806 | 1.168674 | -5.751720 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 38 | 4.7500 | 3 | 0.155288 | 1.272752 | -5.851236 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 39 | 4.8750 | 3 | 0.065315 | 1.167344 | -5.920499 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "| 40 | 5.0000 | 3 | 0.065910 | 1.165901 | -6.297188 | 0.000000e+00 | 0.000000e+00 |\u001b[0m\n", "\u001b[34m...Finished\u001b[0m\n", "\u001b[36mFINISHED - Elapsed time = 61.3302536 seconds\u001b[0m\n", "\u001b[36mFINISHED - CPU process time = 205.6064506 seconds\u001b[0m\n" ] } ], "source": [ "sharpy_output = sharpy.sharpy_main.main(['',\n", " SimInfo.solvers['SHARPy']['route'] +\n", " SimInfo.solvers['SHARPy']['case'] +\n", " '.sharpy'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the plot of the wing at the end of the simulation:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "grey" }, "mode": "lines", "name": "Aero surface", "surfaceaxis": 2, "type": "scatter3d", "x": [ -0.4375000000000001, -0.18750000000000006, -0.187500005737461, -0.4375000057285399, -0.4375000000000001 ], "y": [ -7.126160546901204e-18, -3.054068805814802e-18, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pu.plot_timestep(sharpy_output, tstep=-1, minus_mstar=(wake_panels - 6), plotly=True,custom_scaling=False,z_compression=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Postprocessing\n", "As an example, we are going to plot the evolution of the tip position along time:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 2023-06-30T10:27:03.096903\n", " image/svg+xml\n", " \n", " \n", " Matplotlib v3.7.1, https://matplotlib.org/\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time = np.linspace(0, dt*time_steps, time_steps)\n", "tip_pos = np.zeros((time_steps))\n", "for it in range(time_steps):\n", " tip_pos[it] = sharpy_output.structure.timestep_info[it].pos[-1, 2]\n", "\n", "fig, plots = plt.subplots(1, 1, figsize=(6, 3))\n", "\n", "plots.grid()\n", "plots.set_xlabel(\"time [s]\")\n", "plots.set_ylabel(\"tip position [m]\")\n", "plots.plot(time, tip_pos, '-')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "This notebook provides the big picture of the simulations with SHARPy. We recommend to go through the [documentation](https://ic-sharpy.readthedocs.io/en/main/) with special attention to the [SHARPy file description](https://ic-sharpy.readthedocs.io/en/main/content/casefiles.html) and the [examples](https://ic-sharpy.readthedocs.io/en/main/content/examples.html)." ] } ], "metadata": { "kernelspec": { "display_name": "sharpy env)", "language": "python", "name": "sharpy" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 4 }