Defect correction and higher order schemes for the multigrid solution of the steady Euler equations
Abstract
In this paper first and secondorder finite volume schemes for the solution of the steady Euler equations for inviscid flow are described. The solution for the firstorder scheme can be efficiently computed by a FAS multigrid procedure. Secondorder accurate approximations are obtained by linear interpolation in the flux or the state space. The corresponding discrete system is solved (up to truncation error) by defect correction iteration. An initial estimate for the secondorder solution is computed by Richardson extrapolation. Examples of computed approximations are given, with emphasis on the effect for the different possible discontinuities in the solution.
 Publication:

IN: Multigrid methods II; Proceedings of the Second European Conference
 Pub Date:
 1986
 Bibcode:
 1986mume.proc..149H
 Keywords:

 Computational Grids;
 Euler Equations Of Motion;
 Finite Volume Method;
 Gas Flow;
 Inviscid Flow;
 Iterative Solution;
 Algorithms;
 Asymptotic Methods;
 Discrete Functions;
 Errors;
 Interpolation;
 Specific Heat;
 Fluid Mechanics and Heat Transfer