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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.

##### MSC:
 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