Condition improvement for point relaxation in multigrid, subsonic Euler-flow computations

Analysis of preconditioning and multigrid for Euler flows with low-subsonic regions

For subsonic flows and upwind-discretized, linearized 1-D Euler equations, the smoothing behavior of multigrid-accelerated point Gauss-Seidel relaxation is analyzed. Error decay by convection across domain boundaries is also discussed. A fix to poor convergence rates at low Mach numbers is sought in replacing the point relaxation applied to unconditioned Euler equations, by locally implicit "ti...

Damped , direction - dependent multigrid for hypersonic flow computations *

Koren, B. and P.W. Hemker, Damped, direction-dependent multigrid for hypersonic flow computations, Applied Numerical Mathematics 7 (1991) 309-328. A nonlinear multigrid technique with improved robustness is developed for the solution of the steady Euler equations. The system of nonlinear equations is discretized by an upwind finite volume method. Collective symmetric point Gauss-Seidel relaxati...

Multigrid relaxation methods for systems of saddle point type ✩

In this paper, we give an overview of multigrid methods for two systems of equations, namely the Stokes equations and the incompressible poroelasticity equations. We emphasize the saddle point type aspect in these two systems and discuss their discretization on staggered and collocated grids. The basic problem is that of smoothing a system of equations that has a zero (or almost zero) block in ...

Evaluation of Euler Fluxes for Hypersonic Flow Computations

Shock-capturing finite volume schemes often give rise to anomalous results in hypersonic flow.We present a wideranging survey of numerical experiments from 12 different flux functions in oneand two-dimensional contexts. Included is a recently developed function that satisfies the second law of thermodynamics. It is found here that there are at least two kinds of shock instabilities: one is one-...

An Evaluation of Euler Fluxes for Hypersonic Flow Computations