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Local preconditioners for steady and unsteady flow applications

Published online by Cambridge University Press:  15 June 2005

Eli Turkel  and
Veer N. Vatsa
Eli Turkel
Affiliation:
Tel-Aviv University, Israel and NIA, Hampton, VA.
Veer N. Vatsa
Affiliation:
NASA Langley Research Center, Hampton,VA.
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Abstract

Preconditioners for hyperbolic systems are numerical artifacts to accelerate the convergence to a steady state.In addition, the preconditioner should also be included in the artificial viscosity or upwinding terms to improve the accuracy of the steady state solution. For time dependent problemswe use a dual time stepping approach. The preconditioner affects the convergence rate and the accuracy of the subiterations within each physical time step. We considertwo types of local preconditioners:Jacobi and low speed preconditioning.We can express the algorithm in several sets of variableswhile using only the conservation variables for the flux terms.We compare the effect of these various variable setson the efficiency and accuracy of the scheme.

Keywords

Low MachpreconditioningJacobiDual time Stepcompressible Navier Stokes.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 3: Special issue on Low Mach Number Flows Conference , May 2005 , pp. 515 - 535
Copyright
© EDP Sciences, SMAI, 2005

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