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首页> 外文期刊>Journal of Computational Physics >An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model
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An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model

机译：通过五方程模型模拟可压缩流体之间的界面的反扩散数值方案

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摘要

We propose a discretization method of a five-equation model with isobaric closure for the simulation of interfaces between compressible fluids. This numerical solver is a Lagrange-Remap scheme that aims at controlling the numerical diffusion of the interface between both fluids. This method does not involve any interface reconstruction procedure. The solver is equipped with built-in stability and consistency properties and is conservative with respect to mass, momentum, total energy and partial masses. This numerical scheme works with a very broad range of equations of state, including tabulated laws. Properties that ensure a good treatment of the Riemann invariants across the interface are proven. As a consequence, the numerical method does not create spurious pressure oscillations at the interface. We show one-dimensional and two-dimensional classic numerical tests. The results are compared with the approximate solutions obtained with the classic upwind Lagrange-Remap approach, and with experimental and previously published results of a reference test case.
机译：我们提出了一种具有等压闭环的五方程模型的离散化方法，用于模拟可压缩流体之间的界面。该数值求解器是Lagrange-Remap方案，旨在控制两种流体之间的界面的数值扩散。此方法不涉及任何接口重建过程。该求解器具有内置的稳定性和一致性属性，并且在质量，动量，总能量和部分质量方面较为保守。这种数值方案适用于非常广泛的状态方程，包括列表定律。证明可以确保很好地处理整个界面上的黎曼不变量的特性。因此，数值方法不会在界面处产生杂散压力振荡。我们展示了一维和二维经典数值测试。将结果与经典逆风Lagrange-Remap方法获得的近似解以及参考测试用例的实验结果和先前发布的结果进行比较。

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