Simulation of compressible flows became a routine activity with the appearance of shock-/contact-capturing methods. These methods can determine all waves, particularly discontinuous ones. However, additional difficulties may appear in two-phase and multimaterial flows due to the abrupt variation of thermodynamic properties across the interfacial region, with discontinuous thermodynamical representations at the interfaces. To overcome this difficulty, researchers have developed augmented systems of governing equations to extend the capturing strategy. These extended systems, reviewed here, are termed diffuse-interface models, because they are designed to compute flow variables correctly in numerically diffused zones surrounding interfaces. In particular, they facilitate coupling the dynamics on both sides of the (diffuse) interfaces and tend to the proper pure fluid–governing equations far from the interfaces. This strategy has become efficient for contact interfaces separating fluids that are governed by different equations of state, in the presence or absence of capillary effects, and with phase change. More sophisticated materials than fluids (e.g., elastic–plastic materials) have been considered as well.

中文翻译：

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可压缩两相流的扩散界面捕获方法

随着冲击/接触捕获方法的出现，可压缩流的模拟成为一项常规活动。这些方法可以确定所有波，尤其是不连续的波。然而，由于跨界面区域的热力学性质突然变化，在界面处具有不连续的热力学表示，因此在两相和多材料流动中可能会出现额外的困难。为了克服这个困难，研究人员开发了控制方程的增强系统来扩展捕获策略。这些扩展系统（在此回顾）被称为扩散界面模型，因为它们旨在正确计算围绕界面的数值扩散区域中的流动变量。特别是，它们有助于耦合（扩散）界面两侧的动力学，并倾向于远离界面的适当的纯流体控制方程。这种策略对于分离受不同状态方程控制的流体的接触界面变得有效，无论是否存在毛细效应，以及相变。还考虑了比流体更复杂的材料（例如，弹塑性材料）。