Stokes-Darcy boundary integral solutions using preconditioners

Yassine Boubendir, Svetlana Tlupova

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38 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)8627-8641
Number of pages15
JournalJournal of Computational Physics
Issue number23
StatePublished - Dec 10 2009

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


  • Boundary integral method
  • Darcy equations
  • Preconditioner
  • Stokes flow


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