Evaluation of Euler Fluxes for Hypersonic Flow Computations

An Evaluation of Euler Fluxes for Hypersonic Flow Computations

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-...

Evaluation of Euler Fluxes for Hypersonic Heating Computations

In hypersonic flow computations, it is a key issue to predict surface heating accurately, though this is still challenging because there always are possibilities of resulting in anomalous solutions. In this paper, three properties for flux functions are proposed: 1) shock stability/robustness, 2) conservation of total enthalpy, and 3) resolving boundary layer. Then, numerical experiments are pe...

Hypersonic Flow Computations on Unstructured Meshes

A method for computing inviscid hypersonic ow over complex con gurations using unstructuredmeshes is presented. The unstructured grid solver uses an edge{based nite{volume formulation. Fluxes are computed using a ux vector splitting scheme that is capable of representing constant enthalpy solutions. Second{order accuracy in smooth ow regions is obtained by linearly reconstructing the solution, ...

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...