A Finite Volume Scheme for Two Dimensionally Chemically Reactive Hypersonic Flow

Enrico Bertolazzi

Abstract

A finite volume, semi-implicit scheme, is proposed and discussed, which solves the two-dimensional Euler equations for the hypersonic flow of a mixture of chemically reactive specie.

The present scheme can be applied on a general, unstructured grid. The first order version guarantees non negativity of the densities and of the vibrational energies for arbitrarily large time steps. The semi-implicit time discretization of advective terms and the fully implicit discretization of the highly nonlinear terms yield a simple and efficient computer algorithm. Numerical tests show that shocks are well captured and the correct profiles for the chemical specie are reproduced at low computational cost.

keywords

Finite Volume, Semi-implicit, M-matrix.

DOI: https://www.doi.org/10.1108/09615539810241114

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