台阶重构的熵格式计算一维Euler方程组被引量：1

THE ENTROPY SCHEME WITH STEP RECONSTRUCTION FOR ONE-DIMENSIONAL EULER EQUATIONS

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摘要本文设计了一个带三个台阶重构的熵格式,并和带一个台阶的熵格式相结合计算一维Euler方程组.对四个经典的数值算例进行了数值计算,并且与一阶Godunov格式以及二阶的ENO格式进行了数值比较,数值结果表明,本文的格式优于一阶的Godunov格式,和二阶ENO格式相当. In this paper, an entropy scheme with three step reconstruction is developed. We use the entropy scheme with three step reconstruction and the entropy scheme with one step reconstruction to compute one dimensional Euler equations. The results of the four classical examples show that the developed scheme is better than the first-order Godunov scheme, and is comparable with the second-order ENO scheme.

作者陈荣三

机构地区中国地质大学(武汉)数学与物理学院

出处《数值计算与计算机应用》 CSCD 2015年第2期147-160,共14页 Journal on Numerical Methods and Computer Applications

基金国家自然科学基金资助(11201436)

关键词 EULER方程组台阶重构熵格式 Euler equations step reconstruction entropy scheme

分类号 O241.6 [理学—计算数学]

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