Analysis of Multigrid Efficiency for Viscous Low Mach Number Flows
An analysis, both theoretical and numerical of pointwise, linewise and block-wise Gauss-Seidel relaxation methods is carried out in order to study their behaviour at various flow conditions. The Fourier analysis for scalar convection-diffusion equations is extended to the coupled set of laminar Navier-Stokes equations. The analysis is in good agreement with the numerical results. Also the influence on the convergence rate of different second order implementations is considered. The combination of multigrid, line-methods and mixed discretization enables to tackle stiff problems in a cheap and robust way.
KeywordsMach Number Multigrid Method Backward Face Step Convergence History Defect Correction
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