aerosandbox.aerodynamics.aero_2D.singularities
==============================================

.. py:module:: aerosandbox.aerodynamics.aero_2D.singularities


Submodules
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.. toctree::
   :maxdepth: 1

   /autoapi/aerosandbox/aerodynamics/aero_2D/singularities/linear_strength_line_singularities/index


Functions
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.. autoapisummary::

   aerosandbox.aerodynamics.aero_2D.singularities.calculate_induced_velocity_line_singularities


Package Contents
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.. py:function:: calculate_induced_velocity_line_singularities(x_field, y_field, x_panels, y_panels, gamma, sigma)

   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.