A multigrid-preconditioned Newton--Krylov method for the incompressible Navier--Stokes equations (Q2780531)

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scientific article; zbMATH DE number 1729146
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A multigrid-preconditioned Newton--Krylov method for the incompressible Navier--Stokes equations
scientific article; zbMATH DE number 1729146

    Statements

    15 April 2002
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    Newton-Krylov multigrid method
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    preconditioner
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    pressure-correcting methods
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    SIMPLE
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    SIMPLER
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    incompressible Navier-Stokes equations
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    smoother
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    linear multigrid procedure
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    A multigrid-preconditioned Newton--Krylov method for the incompressible Navier--Stokes equations (English)
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    The pressure-correction methods SIMPLE and SIMPLER are adapted for use in preconditioning a matrix-free Newton-Krylov method applied to incompressible Navier-Stokes equations, as well as to some unsteady problems. The preconditioner is constructed as a smoothers of a linear multigrid procedure. The effectiveness of the resulting Newton-Krylov multigrid method is demonstrated on benchmark incompressible flow problems.
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