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：本文提出一种适用于所有马赫数范围内双流体单温度流动的隐式-显式有限体积格式，该格式基于对称双曲热力学相容的流体动力学描述。该格式在由界面输运控制的大时间步长下保持稳定，且因线性隐式特性而具有高效的计算性能。这一特性是通过对单温度模型进行渐近分析，沿常数参考状态线性化实现的。因此，采用刚性精确的IMEX龙格-库塔时间积分方法以及对基于压力的量进行中心化处理，可证明该格式对具有可变体积分数的弱可压缩欧拉方程具有渐近保持性质。一阶和二阶格式的特性通过多个数值算例得到了验证。