Riemann-problem-based techniques for computing reactive two-phased flows

We consider Riemann-problem based (RPB) numerical techniques for two-phase reactive flows with moving boundaries. Given the still unresolved problem of hyperbolicity we adopt a mixed hyperbolic-elliptic mathematical model. A successful strategy consists of identifying two hyperbolic homogeneous systems, one for each phase. The remaining terms are regarded as (stiff) source terms. The associated Riemann problems are solved exactly and approximately. Two RPB methods are then used, namely Roe's method and a Weighted Average Flux Method (WAF) due to the author. Application of the technioues to a shock tube problem and a ballistics problem are carried out.