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一般坐标系下的二维Euler方程时—空守恒格式
引用本文:张增产,沈孟育.一般坐标系下的二维Euler方程时—空守恒格式[J].应用力学学报,1999,16(1):10-14.
作者姓名:张增产  沈孟育
作者单位:清华大学
摘    要:将文「1-3」中的一维时-空守恒格式推广到了二维情形,得到了一般坐标系下的二维Euler方程时-空守恒格式,并用几个典型算例进行了检验计算,结果表明:本文得到的二维时-空守恒格式保留了一维格式所有的优点,格式简单,通用性强,而且对激波等间断具有很高的分辨率。

关 键 词:Euler方程  二维  时-空守恒律  数值方法  气体

A New Space Time Conservation Scheme for 2 D Euler Equations in General Coordinate Systems
Zhang Zengchan,Shen Mengyu.A New Space Time Conservation Scheme for 2 D Euler Equations in General Coordinate Systems[J].Chinese Journal of Applied Mechanics,1999,16(1):10-14.
Authors:Zhang Zengchan  Shen Mengyu
Abstract:In this paper, the space time conservation scheme developed by the authors in is extended to two dimensional case and a new space time conservation scheme for Euler equations in general coordinate system is obtained. This scheme has all the features as the space time conservation element and solution element method (CE/SE), including its simplicity, generality, high accuracy and high shock resolution. Numerical results of four duct flow problems are given using this scheme.
Keywords:Euler equation  space  time conservation  numerical method  shock resolution    
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