Stokes-Darcy boundary integral solutions using preconditioners

Document Type

Article

Publication Date

12-10-2009

Abstract

In a system where a free fluid flow is coupled to flow in a porous medium, different PDEs are solved simultaneously in two subdomains. We consider steady Stokes equations in the free region, coupled across a fixed interface to Darcy equations in the porous substrate. Recently, the numerical solution of this system was obtained using the boundary integral formulation combined with a regularization-correction procedure. The correction process also results in the improvement of the condition number of the linear system. In this paper, an appropriate preconditioner based on the singular part of corrections is introduced to improve the convergence of a Krylov subspace method applied to solve the integral formulation.

Identifier

70349745709 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1016/j.jcp.2009.08.014

e-ISSN

10902716

ISSN

00219991

First Page

8627

Last Page

8641

Issue

23

Volume

228

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