| 求解Euler方程的高精度的空间--时间守恒格式 |
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| 引用本文： | 杨吉民,徐建中.求解Euler方程的高精度的空间--时间守恒格式[J].工程热物理学报,2000,21(2):156-160. |
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| 作者姓名： | 杨吉民 徐建中 |
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| 作者单位： | 中国科学院工程热物理研究所,北京,100080 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，G1999022305， |
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| 摘 要： | 空间-时间守恒(STC)格式是近年来发展出的一种计算格式,在现有的STC格式构造过程中,流动变量在解元中的分布都用其一阶Taylor展开式来表示.STC格式的精度与所采用的Taylor展开式的阶数有关.该文采用流动变量的二阶Taylor展开式来表示其在解元上的分布、构造出了求解一维Euler方程的STC格式.用该格式对几个问题进行了计算,将计算结果与精确解进行了比较,比较表明该格式有较高的精度.
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| 关 键 词： | 空间-时间守恒(STC)格式 Euler方程 精度 |
| 文章编号： | 0253-231X(2000)02-0156-05 |
| 修稿时间： | 1999-12-03 |
A HIGH RESOLUTION SPACE-TIME CONSERVATION SCHEME FOR SOLVING EULER EQUATIONS |
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| YANG Jimin,XU Jianzhong.A HIGH RESOLUTION SPACE-TIME CONSERVATION SCHEME FOR SOLVING EULER EQUATIONS[J].Journal of Engineering Thermophysics,2000,21(2):156-160. |
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| Authors: | YANG Jimin XU Jianzhong |
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| Institution: | YANG Jimin
,XU Jianzhong
(Institute of Engineering Thermophysics, Academia Sinica, Beijing 100080, China) |
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| Abstract: | The space-time conservation (STC) scheme has been developed in recent years. In the constructing processes of the existent STC schemes, the distribution of flow variables in a solution element is approximately expressed by their first-order Taylor's expansions. The accuracy of the STC scheme is related to the order of Taylor's expansions. In this paper, a high resolution STC scheme for solving 1-D Euler equations is constructed by employing the second-order Taylor's expansions of flow variables to express their distribution in a solution element. Several test problems are solved by this scheme, and the numerical results are compared with the exact, solutions. Comparisons show that the scheme presented in this paper has high accuracy. |
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| Keywords: | space-time conservation (STC) scheme Euler equations accuracy |
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