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二维时-空守恒格式及其在激波传播计算中的应用
引用本文:张增产.二维时-空守恒格式及其在激波传播计算中的应用[J].爆炸与冲击,1999,19(1):7-12.
作者姓名:张增产
作者单位:清华大学工程力学系,北京,100084
摘    要:将改进后的一维时-空守恒格式推广到了二维情形,得到了一个新的一般形式的二维Euler方程时-空守恒格式,并用该格式对几个具有复杂波系的流场进行了数值模拟。结果表明,该格式保留了一维格式通用性好、结构简单的优点,其计算结果精度高,对激波等间断具有很强的分辨率。

关 键 词:二维Euler方程  守恒元和解元  数值方法  激波分辨率

A GENERAL 2D SPACE-TIME CONSERVATION SCHEME AND ITS APPLICATION IN THE CALCULATIONS OF COMPLICATED FLOW PROBLEMS
Zhang Zengchan.A GENERAL 2D SPACE-TIME CONSERVATION SCHEME AND ITS APPLICATION IN THE CALCULATIONS OF COMPLICATED FLOW PROBLEMS[J].Explosion and Shock Waves,1999,19(1):7-12.
Authors:Zhang Zengchan
Abstract:In this paper,the 1D space time conservation scheme modified by the authors is extended to two dimensional ones and a general form of space time conservation scheme for 2D Euler equations is obtained.Some complicated flow problems are calculated using this scheme.The numerical results show that this scheme has all the features which the 1D space time conservation scheme has,such as its simplicity and generality etc.,and the solution accuracy and shock resolution are also very high.
Keywords:D  Euler  equations    conservation  element  and  solution  element    numerical  method    shock  resolution  
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