非理想气体欧拉方程的渐近保持IMEX格式

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2025-02-25 DOI:10.1016/j.jcp.2025.113889

Giuseppe Orlando , Luca Bonaventura

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引用次数: 0

摘要

我们分析了基于一般隐式-显式（IMEX）时间离散的气体动力学可压缩欧拉方程的格式，证明了它们在低马赫数极限下是渐近保持的。对一般状态方程（EOS）进行了分析。我们考虑单渐近长度标度和两个长度标度。然后，我们证明，当这些时间离散与具有适当通量的不连续伽辽金（DG）空间离散耦合时，可以得到一个适用于大范围马赫数的数值方法。许多理想气体的基准测试及其对非理想EOS的非平凡扩展验证了所执行的分析。

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Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases

We analyze schemes based on a general Implicit-Explicit (IMEX) time discretization for the compressible Euler equations of gas dynamics, showing that they are asymptotic-preserving (AP) in the low Mach number limit. The analysis is carried out for a general equation of state (EOS). We consider both a single asymptotic length scale and two length scales. We then show that, when coupling these time discretizations with a Discontinuous Galerkin (DG) space discretization with appropriate fluxes, a numerical method effective for a wide range of Mach numbers is obtained. A number of benchmarks for ideal gases and their non-trivial extension to non-ideal EOS validate the performed analysis.

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.