A new preconditioner for the Oseen equations

A. Wathen, D. Loghin, D. Kay, H. Elman and D. Silvester
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A. Wathen: Oxford University, Computing Laboratory
D. Loghin: Oxford University, Computing Laboratory
D. Kay: Sussex University, School of Mathematical Sciences
H. Elman: University of Maryland, Department of Computer Science and Institute of Advanced Computer Studies
D. Silvester: UMIST, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 979-988 from Springer

Abstract: Summary We describe a preconditioner for the linearised incompressible Navier-Stokes equations (the Oseen equations) which requires as components a preconditioner/solver for a discrete Laplacian and for a discrete advection-diffusion operator. With this preconditioner, convergence of an iterative method such as GMRES is independent of the mesh size and depends only mildly on the viscosity parameter (the inverse Reynolds number). Thus when the component preconditioner/solvers are effective on their respective subproblems (as one expects with an appropriate multigrid cycle for instance)a fast Oseen solver results.

Keywords: Krylov Subspace; Picard Iteration; Drive Cavity; Conjugate Gradient Iteration; Oseen Equation (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-88-470-2089-4_89

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