A Regular Difference Grid and Characteristics Method

Q3 Mathematics

Mathematical Models and Computer Simulations Pub Date : 2023-12-01 DOI:10.1134/s2070048223070116

引用次数: 0

Abstract

An explicit characteristics method used to calculate the values of gas-dynamic parameters (GDP) of one-dimensional unsteady flows is considered. An algorithm for solving gas-dynamic equations written along characteristic directions is formulated for use on a regular grid. An example of calculating the problem for a cylindrical pipe is performed. It is shown that with a time integration step of 0.0002 s, the calculation accuracy by the explicit method is close to the results obtained by the implicit method.

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正则表达式差分网格和特征方法

摘要研究了用于计算一维非稳态流动的气体动力参数值（GDP）的显式特征法。为在规则网格上使用，制定了一种沿特征方向写入的气体动力方程求解算法。以圆柱形管道为例进行了计算。结果表明，当时间积分步长为 0.0002 秒时，显式方法的计算精度接近于隐式方法的计算精度。

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.