Preconditioning Strategies for Models of Incompressible Flow
نویسندگان
چکیده
منابع مشابه
Preconditioning Strategies for Models of Incompressible Flow
We describe some new preconditioning strategies for handling the algebraic systems of equations that arise from discretization of the incompressible Navier-Stokes equations. We demonstrate how these methods adapt in a straightforward manner to decisions on implicit or explicit time discretization, explore their use on a collection of benchmark problems, and show how they relate to classical tec...
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−ν∇u+ u.∇u+∇p = f ∇ · u = 0 which are taken to hold in some domain Ω ⊂ IR together with appropriate boundary conditions. We concentrate on the steady state equations; timedependent problems are essentially easier in the context of iterative methods. We will make some comment on this later. The numerical results we present here come from mixed finite element approximation though the techniques a...
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In this paper, an eigenvalue analysis of the SIMPLE preconditioning for incompressible ow is presented. Some formulations have been set up to characterize the spectrum of the preconditioned matrix. This leads to a generalized eigenvalue problem. The generalized eigenvalue problem is investigated. Some eigenvalue bounds and the estimation for the spectral condition number in the symmetric case a...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2005
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-004-4648-0