Defect correction and nonlinear multigrid for the steady Euler equations

P.W. Hemker, B. Koren

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Abstract

In this chapter we describe an accurate, efficient and robust technique to solve the steady Euler equations for inviscid flow by a nonlinear multigrid method. The discretization is a finite volume one, using the Godunov scheme, with Osher's approximate Riemann solver as the numerical flux function. Nonlinear FAS multigrid cycling is used to directly solve the first-order discrete equations. Defect correction is used to obtain higher-order accuracy. The technique can be extended to the N avier-Stokes equations, and can be combined with the adaptive grid refinements.
Original languageEnglish
Title of host publicationSolution techniques for large-scale CFD problems
EditorsW.G. Habashi
Place of PublicationChichester
PublisherWiley
Pages273-291
Number of pages442
ISBN (Print)0-471-95810-7
Publication statusPublished - 1995

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