Constant vorticity Riabouchinsky flows from a variational principle
Abstract
Flows with constant vorticity regions bounded by vortex sheets are obtained by minimizing a functional which is the difference of energy in the external (irrotational) flow and the internal flow. In the zero vorticity case this reduces to the functional used by Garabedian, Lewy, and Schiffer for Riabouchinsky's problem. The discretization is done using SchwarzChristoffel transformations for approximating polygons and FFT's to compute required Dirichlet integrals.
 Publication:

Zeitschrift Angewandte Mathematik und Physik
 Pub Date:
 November 1990
 DOI:
 10.1007/BF00945833
 Bibcode:
 1990ZaMP...41..755D
 Keywords:

 Computational Fluid Dynamics;
 Inviscid Flow;
 Two Dimensional Flow;
 Variational Principles;
 Vorticity;
 Conformal Mapping;
 Flat Plates;
 Free Boundaries;
 Free Flow;
 Optimization;
 Fluid Mechanics and Heat Transfer