Polyflow

External Potential Flow via the Schwarz Christoffel mapping

Tim Colonius, Caltech

Loading Python

Body

Angle of attack

18 deg

Drag the slider or use the step buttons to set the angle.

Boundary

Spline points

A smooth curve is fitted through the control vertices, then resampled as the polygon at the displayed spline points.

Circulation

Applied at origin

Apply at vertex

Plot

Click a point outside the body to highlight the selected line or lines through that point.

Drag vertices to reshape. Right-click a vertex to remove it, or an edge to add one.

SC mapping failed

streamfunctionpotential

Lift coefficient

C_L = F_d / (½ ρ U² L)--

Added mass tensor

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Information

Vertices: --
Solver time: --
Compute: Local only

No server round-trip

Python and the flow calculation run locally in this tab. After the initial runtime download, edits stay on your device.

Method credit

Polyflow builds on Tobin A. Driscoll's MATLAB Schwarz-Christoffel Toolbox, adapted from Lloyd N. Trefethen's original Fortran implementation.

Custom body

Import vertices

Enter one vertex per line as x, y or x y. Blank lines and text after # are ignored. Vertices must trace one simply connected boundary in clockwise or counterclockwise order; holes are not supported.

Or load a text file