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A multi-resolution method for two-phase fluids with complex equations of state by binomial solvers in three space dimensions
Applied Numerical Mathematics ( IF 2.8 ) Pub Date : 2021-04-30 , DOI: 10.1016/j.apnum.2021.04.022
Wenhua Ma , Zhongshu Zhao , Guoxi Ni

In this paper, we propose approximate solvers for two-phase fluids with general equations of state (EOS) in high dimension. The standard finite volume scheme is used for each fluid away from material interface. The two-phase interfaces are captured by the level set method coupled with a multi-resolution algorithm. For the Riemann solver of two-phase fluids with general equations of state, we construct an iterative approximation method by the solver for binomial equations of state. The velocity of the interface and the interface exchange fluxes are obtained precisely. With the help of the adaptive multi-resolution algorithms, we extend the method to three space dimensions conveniently. Numerical examples are carried out to demonstrate the strength and robustness of this method.



中文翻译:

二项式求解器在三个空间维中求解状态方程复杂的两相流体的多分辨率方法

在本文中,我们提出了具有高维状态方程(EOS)的两相流体的近似求解器。标准的有限体积方案用于远离物料界面的每种流体。两级界面是通过水平集方法与多分辨率算法相结合来捕获的。对于具有一般状态方程的两相流体的黎曼求解器,我们通过求解器构造了一个二项式状态方程的迭代逼近方法。界面速度和界面交换通量可精确获得。借助自适应多分辨率算法,我们可以方便地将方法扩展到三个空间维度。数值算例表明了该方法的强度和鲁棒性。

更新日期:2021-05-08
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