Analytical prediction of twodimensional potential flow due to fixed vortices in a rectangular domain
Abstract
An analytical method is presented which solves 2D potential flow in a rectangular domain containing multiple vortices fixed in space. A double infinite image system is used to satisfy the zero normal velocity boundary condition. Because of its accuracy and speed of calculation, the solution can serve as the building block for predicting walldriven cavity flows at high Reynolds number using the random vortex method of Chorin. This communication outlines the derivation of the analytical method and presents tests performed to check its validity. Two limiting flow cases predicted from the analysis correspond respectively to: (1) the line vortex problem between parallel planes; and (2) the vortex pair problem in an infinite domain. The results obtained show excellent agreement with established exact solutions.
 Publication:

Journal of Computational Physics
 Pub Date:
 October 1984
 Bibcode:
 1984JCoPh..56...15H
 Keywords:

 Cavitation Flow;
 Potential Flow;
 Prediction Analysis Techniques;
 Two Dimensional Flow;
 Vortices;
 Elliptic Functions;
 High Reynolds Number;
 Fluid Mechanics and Heat Transfer