Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
type: Item
instance of: scholarly article
title: Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
zbMATH Open document ID: 0861.76057
author: Xiaolin Zhong
published in: Journal of Computational Physics
publication date: 1997-05-12T00:00:00Z
review text: This paper is concerned with time-stepping numerical methods for computing stiff semi-discrete systems of ordinary differential equations for transient hypersonic flows with thermo-chemical nonequlibrium. We study three different semi-implicit Runge-Kutta methods for additively split differential equations in the form of \(u'= f(u)+ g(u)\), where \(f\) is treated by explicit Runge-Kutta methods and \(g\) is simultaneously treated by three implicit Runge-Kutta methods: a diagonally implicit Runge-Kutta method and two linearized implicit Runge-Kutta methods. The results of two numerical tests on the stability and accuracy properties of these methods are also presented in the paper.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76K05
zbMATH DE Number: 947665
zbMATH Keywords: diagonally implicit Runge-Kutta method
zbMATH Keywords: linearized implicit Runge-Kutta methods
MaRDI profile type: Publication
full work available at URL: jcph.1996.0193
OpenAlex ID: W2016699328
DOI: 10.1006/JCPH.1996.0193
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description: scientific article; zbMATH DE number 947665