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.
|Title of host publication||Solution techniques for large-scale CFD problems|
|Place of Publication||Chichester|
|Number of pages||442|
|Publication status||Published - 1995|