A new numerical flux scheme is proposed for compressible multi-phase flows at all Mach numbers. The hybrid AUSM-family scheme (HAUS) combines various AUSM-type schemes. HAUS is facilitated by reconstructing the mass flux term present in AUSM-family schemes such as AUSMPW, SLAU-type, and AUSM+ up, and subsequently rebuilding the pressure flux term. Numerical validations are performed under various conditions from hypersonic compressible to low Mach incompressible flow regimes using the homogeneous mixture model equation with the proposed scheme. Various numerical validation problems demonstrate that the HAUS is both accurate and stable for all speed ranges of single and multi-phase flows.

针对所有马赫数下的可压缩多相流，提出了一种新的数值通量方案。混合 AUSM-family 方案 (HAUS) 结合了各种 AUSM 类型的方案。通过重建 AUSM 系列方案（例如 AUSMPW、SLAU 类型和 AUSM+）中存在的质量通量项，然后重建压力通量项，可以促进 HAUS。数值验证是在各种条件下进行的，从高超音速可压缩到低马赫不可压缩流态，使用具有所提出方案的均质混合模型方程。各种数值验证问题表明 HAUS 对于单相和多相流的所有速度范围既准确又稳定。