带引力的欧拉方程的完全平衡和熵稳定格式：一般状态方程

IF 3 3区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Fluids Pub Date : 2025-09-30 DOI:10.1016/j.compfluid.2025.106853

Victor Michel-Dansac, Andrea Thomann

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引用次数: 0

摘要

本文基于一维框架下的近似黎曼解算器，推导了具有引力势的欧拉方程的完全平衡godunovo型有限体积格式。它是Berthon等人（2025）最近提出的理想气体的熵稳定和完全平衡方案的一般状态方程的扩展。给出了保持一阶格式性质的二阶扩展。可证明该方案对所有热力学变量都是熵稳定和保正的。以6种状态方程、4种解析状态方程和2种表列状态方程为例，进行了数值测试，验证了该方法的性能和熵稳定性。

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Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state

The present work concerns the derivation of a fully well-balanced Godunov-type finite volume scheme for the Euler equations with a gravitational potential based on an approximate Riemann solver in a one-dimensional framework. It is an extension to general equations of states of the entropy-stable and fully well-balanced scheme for ideal gases recently forwarded in Berthon et al., (2025). A second-order extension preserving the properties of the first-order scheme is given. The scheme is provably entropy-stable and positivity-preserving for all thermodynamic variables. Numerical test cases illustrate the performance and entropy stability of the new scheme, using six different equations of state as examples, four analytic and two tabulated ones.

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来源期刊

Computers & Fluids 物理-计算机：跨学科应用

CiteScore

5.30

自引率

7.10%

发文量

242

审稿时长

10.8 months

期刊介绍： Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.