An improved class of three stage low-dispersion low-dissipation diagonally implicit Runge-Kutta method

Subhajit Giri; Shuvam Sen

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An improved class of three stage low-dispersion low-dissipation diagonally implicit Runge-Kutta method

机译：An improved class of three stage low-dispersion low-dissipation diagonally implicit Runge-Kutta method

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摘要

We propose in this work a new A-stable diagonally implicit three stage Runge-Kutta (R-K) method with highest possible reduction of dispersion error and considerably diminished dissipation inaccuracy. The scheme is conceptualized by curtailing both dissipation and dispersion error and is second order accurate. Contrary to earlier efforts of complete reduction of amplitude error we look to allow small dissipation error in this work and thereby enhance our leeway to substantially reduce dispersion error. Diverse numerical test cases exhibit benefits of the optimization process adopted here. The scheme suitable for stiff systems perform best among all three stage diagonally implicit methods discussed in this work and is quite proficient with bigger temporal step.

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来源
《Aerospace science and technology》 |2023年第2期|108143.1-108143.18|共18页
作者
Subhajit Giri; Shuvam Sen;
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作者单位

Department of Mathematics, Faculty of Science and Technology, ICFA1 University Tripura, West Tripura 799210, India;

Department of Mathematical Sciences, Tezpur University, Tezpur 784028, India;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类
关键词
Time integration; Diagonally implicit; Runge-Kutta; Wave propagation; Low-dispersion low-dissipation; Computational acoustics;

An improved class of three stage low-dispersion low-dissipation diagonally implicit Runge-Kutta method

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