张增产.一般形式的二维时—空守恒格式[J].计算力学学报,1997,14(4):377~381 |
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一般形式的二维时—空守恒格式 |
A new general space time conservation scheme for 2 D Euler equations |
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DOI:10.7511/jslx19974060 |
中文关键词: 二维 Euler方程 时-空守恒律 CE/SE 激波分辨率 |
英文关键词:D Euler equations, space time conservation, conservation element and solution element,numerical method, shock resolution, |
基金项目:国家自然科学基金 |
张增产 |
清华大学工程力学系 |
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中文摘要: |
本文将经作者改进后的一维时-空守恒格式推广到了二维情形,得到了一个一般形式的二维Euler方程时-空守恒格式,该格式对各种不规则几何区域内的流动问题具有很强的适应性,同时它还保留了一维格式的优点。几个典型算例的计算结果表明,本文格式不仅精度高,通用性好,而且对激波等间断具有很高的分辨率。 |
英文摘要: |
In this paper, the 1 D space time conservation scheme modified by the author is extended to two dimensional ones and a general form of space time conservation scheme for 2 D Euler equations is obtained. This scheme is flexible and can be used in the computation of many flow problems. Of course, it has all the features which the space time conservation element and solution element method (CE/SE) has. Four complex flow problems are calculated using this scheme and the numerical results agree well with the experimental ones. It is also show that the scheme has high accuracy and high shock resolution. |
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