Analysis of a preconditioned GMRES solver for a nonsymmetric SUPG discretization of the compressible Navier-Stokes equations

A preconditioner for a system of linear equations resulting from finite ele ment discretization of the compressible Navier-Stokes equations in conserva tive variables is presented. This system is nonsymmetric and the constructi on of a preconditioner is based on a symmetric preconditioner for a symmetr ic formulation of flows in entropy variables. The algorithm is a modificati on of a block Jacobi iteration. It is combined with a GMRES procedure resul ting in an effective equation solver. The solver is tested on a number of n umerical examples. (C) 1999 Elsevier Science Ltd. All rights reserved.