We present an implicit-explicit finite volume scheme for two-fluid single-temperature flow in all Mach number regimes which is based on a symmetric hyperbolic thermodynamically compatible description of the fluid flow. The scheme is stable for large time steps controlled by the interface transport and is computational efficient due to a linear implicit character. The latter is achieved by linearizing along constant reference states given by the asymptotic analysis of the single-temperature model. Thus, the use of a stiffly accurate IMEX Runge Kutta time integration and the centered treatment of pressure based quantities provably guarantee the asymptotic preserving property of the scheme for weakly compressible Euler equations with variable volume fraction. The properties of the first and second order scheme are validated by several numerical test cases.

翻译：我们提出了一种适用于全马赫数范围内两流体单温度流的隐式-显式有限体积格式。该格式基于流体流动的对称双曲热力学相容描述，在界面传输控制的大时间步长下保持稳定，并因线性隐式特性而具有计算高效性。后者通过沿由单温度模型渐近分析给出的恒定参考态进行线性化实现。因此，采用刚性精确的IMEX龙格-库塔时间积分格式以及对基于压力的量进行中心化处理，可证明该方法对具有可变体积分数的弱可压缩欧拉方程具有渐近保持特性。一阶与二阶格式的性能通过多个数值算例得到验证。