RELAXATION AND NUMERICAL APPROXIMATION OF A TWO-FLUIDTWO-PRESSURE DIPHASIC MODEL

摘要

This paper is concerned with the numerical approximation of the solutions of a two-fluidtwo-pressure model used in the modelling of two-phase flows. We present a relaxation strategy foreasily dealing with both the nonlinearities associated with the pressure laws and the nonconservativeterms that are inherently present in the set of convective equations and that couple the two phases.In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves thenatural phase space, and exactly captures the coupling waves between the two phases. Numericalevidences are given to corroborate the validity of our approach.