论文标题
等等粒子两相流的全部马赫数有限体积方法
An all Mach number finite volume method for isentropic two-phase flow
论文作者
论文摘要
我们为所有马赫数制度中的等粒子两相流提供了一个隐式阐释的有限体积方案。基础模型属于对称双曲线热力学兼容模型的类别。该方案的关键要素包括在参考状态下的压力和焓项的线性化。所得的刚性线性零件是隐式集成的，而非线性的高阶和运输项被明确处理。由于通量分裂，该方案在CFL条件下是稳定的，该条件由慢速材料波的分辨率确定，即使在存在快速声波的情况下，也可以允许大的时间步长。此外，还研究了模型的单数马赫数限制，并证明了该方案的渐近保存特性。在数值模拟中，评估了与单相流量，准确性和不同马赫数方案中材料波的近似的一致性。
We present an implicit-explicit finite volume scheme for isentropic two phase flow in all Mach number regimes. The underlying model belongs to the class of symmetric hyperbolic thermodynamically compatible models. The key element of the scheme consists of a linearisation of pressure and enthalpy terms at a reference state. The resulting stiff linear parts are integrated implicitly, whereas the non-linear higher order and transport terms are treated explicitly. Due to the flux splitting, the scheme is stable under a CFL condition which determined by the resolution of the slow material waves and allows large time steps even in the presence of fast acoustic waves. Further the singular Mach number limits of the model are studied and the asymptotic preserving property of the scheme is proven. In numerical simulations the consistency with single phase flow, accuracy and the approximation of material waves in different Mach number regimes are assessed.
