Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers
We consider a multigrid method, that is based on SIMPLE-like pressure correction methods, for the solution of the incompressible Navier-Stokes equations. The main subject of the paper is a discussion of strategies to implement defect corrections for higher order discretisations of the advective term. We perform a systematic comparison of the convergence rate of the iterations for different combinations of defect correction strategy and flux-limited advection schemes. Based on established benchmark results we also assess the accuracy of the different advection schemes.
KeywordsCoarse Grid Multigrid Method Central Scheme Pressure Correction Order Problem
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