magnitude_and_direction_of_relative_velocity¶

Calculates the magnitude and direction of the relative velocity u_rel at a local section of the wing.

$u_{rel, i}^G = \bar{U}_{\infty, i}^G - C^{GA}(\chi)(\dot{\eta}_i^A + v^A + \tilde{\omega}^A\eta_i^A$

where $$\bar{U}_{\infty, i}^G$$ is the average external velocity across all aerodynamic nodes at the relevant cross section.

param displacement

Unit vector in the direction of the free stream velocity expressed in A frame.

type displacement

np.array

param displacement_vel

Unit vector in the direction of the local chord expressed in A frame.

type displacement_vel

np.array

param for_vel

A frame of reference (FoR) velocity. Expressed in A FoR

type for_vel

np.array

param cga

Rotation vector from FoR G to FoR A

type cga

np.array

param uext

Background flow velocity on solid grid nodes

type uext

np.array

returns

u_rel, dir_u_rel expressed in the inertial, G frame.

rtype

tuple