| 一类三维的高分辨中心差分格式 |
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| 引用本文： | 桂冰.一类三维的高分辨中心差分格式[J].南京气象学院学报,2006,29(3):422-428. |
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| 作者姓名： | 桂冰 |
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| 作者单位： | 南京林业大学,数学系,江苏,南京,210037 |
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| 基金项目： | 中国科学院资助项目;南京林业大学校科研和教改项目 |
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| 摘 要： | 在交错网格的情况下，构造了一类不需解Riemann问题的求解三维双曲守恒律的二阶显式差分格式，证明了该格式在CFL（Courant-Friedrichs-Lewy）条件限制下为MmB（Maximum and minimum Bounds）格式，进行了并行计算数值试验，得到的试验结果令人满意。在交错网格的情况下构造的这类差分格式，不需要求解Riemann问题，不需要进行特征分解，可用于求解弱双曲方程组，计算快、编程简便。
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| 关 键 词： | 守恒律 通量 差分格式 交错网格 |
| 文章编号： | 1000-2022（2006）03-0422-07 |
| 收稿时间： | 04 20 2004 12:00AM |
| 修稿时间： | 2004-04-202004-08-04 |
A Class of the 3-D Central Difference Schemes of High Resolution |
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| GUI Bing.A Class of the 3-D Central Difference Schemes of High Resolution[J].Journal of Nanjing Institute of Meteorology,2006,29(3):422-428. |
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| Authors: | GUI Bing |
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| Institution: | Department of Mathematics, Nanjing Forestry University, Nanjing 210037, China |
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| Abstract: | In this paper,a class of the secondary order accurate explicit central difference schemes for the computation of solutions of single hyperbolic conservation laws in three-dimension are presented,and these schemes are Riemann solver-free and MmB(Maximum and minimum Bounds) under the restriction of CFL(Courant-Friedrichs-Lewy),and extended to the system of hyperbolic conservation laws.The result of computation is satisfied.Because of its construction under staggered grids and Riemann solver-free,the advantages of these schemes are that no complete set of eigenvectors is needed and hence the weakly hyperbolic system can be solved,and the programming is much fast and simple. |
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| Keywords: | MmB |
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