Analysis of preconditioning and multigrid for Euler flows with low-subsonic regions

B. Koren, B. Leer, van

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    11 Citations (Scopus)
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    Abstract

    For subsonic flows and upwind-discretized, linearized 1-D Euler equations, the smoothing behavior of multigrid-accelerated point Gauss-Seidel relaxation is analyzed. Error decay by convection across domain boundaries is also discussed. A fix to poor convergence rates at low Mach numbers is sought in replacing the point relaxation applied to unconditioned Euler equations, by locally implicit "time"-stepping applied to preconditioned Euler equations. The locally implicit iteration step is optimized for good damping of high-frequency errors. Numerical inaccuracy at low Mach numbers is also addressed.
    Original languageEnglish
    Pages (from-to)127-144
    JournalAdvances in Computational Mathematics
    Volume4
    Issue number1
    DOIs
    Publication statusPublished - 1995

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