可压缩两相模型的熵稳定有限体积法

Pub Date : 2023-03-29 DOI:10.21136/AM.2023.0041-22

Eduard Feireisl, Mădălina Petcu, Bangwei She

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引用次数: 0

摘要

我们研究了可压缩粘性流体的二元混合物，该混合物由等熵或理想气体定律的Navier-Stokes Allen-Cahn系统建模。我们提出了一种基于逆风和人工扩散方法的有限体积方法来近似系统。我们证明了数值方法的熵稳定性，并给出了几个数值实验来支持这一理论。

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An entropy stable finite volume method for a compressible two phase model

We study a binary mixture of compressible viscous fluids modelled by the Navier-Stokes-Allen-Cahn system with isentropic or ideal gas law. We propose a finite volume method for the approximation of the system based on upwinding and artificial diffusion approaches. We prove the entropy stability of the numerical method and present several numerical experiments to support the theory.

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