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Journal of Shanghai University >

2012 , Vol. 18 >Issue 1: 64 - 67

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.01.013

Mathematics.Physics and Chemistry

Group Classification of Finite Difference Scheme

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  • Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received date: 2010-09-08

  Online published: 2012-02-29

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Abstract

This paper presents an analysis on the group structure of finite difference scheme in computational fluid dynamics using the Lie group analysis method, together with the invariant solutions of the traditional schemes. The study will help understand the differential effects of discreteness on numerical dissipation and dispersion.

Key words： dispersion; dissipation; finite difference scheme; Lie group

Cite this article

PAN Shu-qin,RAN Zheng . Group Classification of Finite Difference Scheme[J]. Journal of Shanghai University, 2012 , 18(1) : 64 -67 . DOI: 10.3969/j.issn.1007-2861.2012.01.013

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