Matched eigenfunction expansion method for the solution of Stokes flow problems.
by
Suheil Khoury
American University of Sharjah

A matched eigenfunction expansion method is developed for the solution of Stokes flow problems through geometries composed of contiguous simple subregions that arise in fluid dynamics. The theory leads to the development of eigenfunctions, adjoint eigenfunctions, biorthogonality conditions and an algorithm for the computation of the coefficients of the eigenfunction expansion. The flow region is decomposed into two simple subregions; this enables the stream function to be represented by means of an expansion of Papkovich-Fadle eigenfunctions in each of these two subregions. The coefficients in these expansions are determined by imposing weak C^3 continuity of the stream function across subregion interfaces and then taking advantage of the biorthogonality conditions. The method is implemented for solving creeping flow around a bend and through curved channels.

Date received: December 14, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakt-14.