Généralisation du schéma de Roe pour le calcul d’écoulements de mélanges de gaz a concentrations variables. (Generalization of the Roe scheme for computing flows of mixed gases at variable concentrations). (French) Zbl 0662.76097

We present a generalization of the Roe scheme [P. L. Roe, J. Comput. Phys. 43, 357-372 (1981; Zbl 0474.65066)] for computing flows by solution of the Euler equations, in the case of a mixture of inviscid gases having spatially variable concentrations. The mixture behaves like an ideal gas, but with variable specific heats. We consider more particularly the problem of automatically capturing the contact surfaces between two nonreactive ideal gases having different specific heat ratios. The method is tested on the Riemann problem and an application to a jet problem is presented. We also show how this method is generalized to compute reactive flows.


76N15 Gas dynamics (general theory)
76T99 Multiphase and multicomponent flows
76M99 Basic methods in fluid mechanics


Zbl 0474.65066