Application of WENO-Schemes for Modelling Shock-Wave Processes

Q3 Mathematics

Mathematical Models and Computer Simulations Pub Date : 2024-09-05 DOI:10.1134/s2070048224700200

F. A. Belolutskiy, V. V. Shepelev, S. V. Fortova

引用次数: 0

Abstract

This paper analyzes weighted essentially non-oscillatory (WENO)-schemes for the solution of one-dimensional Euler equations with a Mie−Grüneisen type of equation of state. The least dissipative and oscillatory modifications of WENO-schemes in characteristic variables with a monotonicity-preserving (MP) limiter are presented. A modified scheme, MP-WENO-SM, is developed, demonstrating the smallest amplitude of oscillations in the solution of the test problems with discontinuous initial data.

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应用 WENO 仿真模拟冲击波过程

摘要本文分析了求解具有米-格吕尼森类型状态方程的一维欧拉方程的加权本质非振荡（WENO）方案。介绍了带有单调性保留（MP）限制器的特征变量 WENO 方案的最小耗散和振荡修正。在解决初始数据不连续的测试问题时，MP-WENO-SM 方案的振荡幅度最小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Models and Computer Simulations Mathematics-Computational Mathematics

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.