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Numerical simulation of hypersonic reacting flows in chemical nonequilibrium. (Simulation numérique d’écoulements hypersoniques réactifs hors-équilibre chimique.) (French) Zbl 0923.76078
Rocquencourt: Institut National de Recherche en Informatique et en Automatique (INRIA). Nice: Univ. de Nice Sophia-Antipolis, vi, 265 p. (1990).
A study of hypersonic reacting flows (non-equilibrium gas mixture) is presented. First a one-dimensional flow is considered, to emphasize the numerical problems related to very different time-scales of convective and reactive phenomena. A simplified problem concerning the chemical dissociation behind a shock wave is solved. A method of advancing in space and two methods of integration in time, applicable to the \(2\)D case as well, are developed.
For \(2\)D flows a method of triangular, non-structured grids is given. The precision is of second order, by using a MUSCL scheme. This approach is advanced first in connection with the Euler equations.
In the final part, the viscous effects are included, considering the Navier-Stokes equations for the boundary layer near a wall. A semi-implicit noncentered scheme for the convective fluxes and a centered one for diffusive fluxes are used. Numerical examples are also given.

76K05 Hypersonic flows
76M20 Finite difference methods applied to problems in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
76N20 Boundary-layer theory for compressible fluids and gas dynamics
80A32 Chemically reacting flows