| 二维交错网格的GAUSS型格式 |
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| 引用本文： | 邱建贤,戴嘉尊. 二维交错网格的GAUSS型格式[J]. 计算物理, 2001, 18(3): 241-246 |
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| 作者姓名： | 邱建贤 戴嘉尊 |
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| 作者单位： | 南京航空航天大学理学院, 江苏 南京 210016 |
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| 基金项目： | 国家航空基金(96A52004)资助项目 |
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| 摘 要： | 利用Gauss型求积公式在交错网格的情况下构造了一类不需解Riemann问题的求解二维双曲守恒律的二阶显式Gauss型差分格式,该格式在CFL条件限制下为MmB格式.并将格式推广到二维方程组,进行了数值试验.
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| 关 键 词： | 守恒律 MmB 通量 差分格式 交错网格 |
| 文章编号： | 1001-246(2001)03-0241-06 |
| 收稿时间： | 1999-10-24 |
| 修稿时间： | 1999-10-24 |
A CLASS OF GAUSS SCHEMES WITH STAGGERED GRIDS IN TWO DIMENSIONS |
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| QIU Jian-xian,DAI Jia-zun. A CLASS OF GAUSS SCHEMES WITH STAGGERED GRIDS IN TWO DIMENSIONS[J]. Chinese Journal of Computational Physics, 2001, 18(3): 241-246 |
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| Authors: | QIU Jian-xian DAI Jia-zun |
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| Affiliation: | College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P R China |
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| Abstract: | It presents a class of the second order accurate explicit Gauss schemes with staggered grids for the computation of solutions of single hyperbolic conservation laws in two dimernsions, these schemes are Riemann solver-free and Maximum and Minimum Bounds under the restriction of CFL,and have been extended to system of hyperbolic conservation laws. Because these schemes are constructed under staggered grids and Riemann solver-free,the advantages of these schemes compared to other TVD schemes such as Harten's are:no complete set of eigenvectors is needed and hence weakly hyperbolic system can be solved,faster and programming is much simpler.The numerical solutions obtained in computation Riemann problem are satisfactory. |
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| Keywords: | conservation laws MmB flux convergence staggered grids |
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