aerosandbox.aerodynamics.aero_2D.singularities#

Submodules#

Package Contents#

Functions#

calculate_induced_velocity_line_singularities(x_field, ...)

Calculates the induced velocity at a point (x_field, y_field) in a 2D potential-flow flowfield.
aerosandbox.aerodynamics.aero_2D.singularities.calculate_induced_velocity_line_singularities(x_field, y_field, x_panels, y_panels, gamma, sigma)[source]#

Calculates the induced velocity at a point (x_field, y_field) in a 2D potential-flow flowfield.

In this flowfield, the following singularity elements are assumed: # TODO update paragraph

  • A line vortex that passes through the coordinates specified in (x_panel, y_panel). Each of these vertices is

called a “node”. * The vorticity of this line vortex per unit length varies linearly between subsequent nodes. * The vorticity at each node is specified by the parameter gamma.

By convention here, positive gamma induces clockwise swirl in the flow field.

Function returns the 2D velocity u, v in the global coordinate system (x, y).

Inputs x_field and y_field can be 1D ndarrays representing various field points, in which case the resulting velocities u and v have the corresponding dimensionality.

Parameters:

  • x_field (Union[float, aerosandbox.numpy.ndarray]) –

  • y_field (Union[float, aerosandbox.numpy.ndarray]) –

  • x_panels (aerosandbox.numpy.ndarray) –

  • y_panels (aerosandbox.numpy.ndarray) –

  • gamma (aerosandbox.numpy.ndarray) –

  • sigma (aerosandbox.numpy.ndarray) –

Return type:

[Union[float, aerosandbox.numpy.ndarray], Union[float, aerosandbox.numpy.ndarray]]