Frontiers of Computational Fluid Dynamics

A general multigrid framework is discussed for obtaining textbook e ciency to solutions of the compressible Euler and Navier Stokes equations in conservation law form The general methodology relies on a distributed relaxation procedure to reduce errors in regular smoothly varying ow regions separate and distinct treatments for each of the factors elliptic and or hyperbolic are used to attain optimal reductions of errors Near boundaries and discontinuities shocks additional local relaxations of the conservative equations are necessary Example calculations are made for the quasi one dimensional Euler equations the calculations illustrate the general procedure