| 2维非凸标量守恒律分3片黎曼问题的数值解 |
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| 引用本文： | 王玉英,王金环,杨汉春. 2维非凸标量守恒律分3片黎曼问题的数值解[J]. 云南大学学报(自然科学版), 2010, 32(6): 633-638 |
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| 作者姓名： | 王玉英 王金环 杨汉春 |
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| 作者单位： | 云南大学 数学系, 云南 昆明 650091 |
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| 摘 要： | 考虑2维非凸标量守恒律初值为3片常数的黎曼问题,使用WENO和Runge-Kutta格式,对具有Guckenheimer结构现象的解进行数值分析,所得数值结果清晰地展示了Guckenheimer结构由激波之间的整体相互作用形成的数学机制,从而揭示了Guckenheimer结构这一重要的2维非线性现象.
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| 关 键 词： | 2维非凸标量守恒律 黎曼(Riemann)问题 Guckenheimer结构 WENO格式 Runge-Kutta格式 |
| 收稿时间： | 2010-05-19 |
Numerical solutions of Riemann problems in three pieces for two-dimensional nonconvex scalar conservation laws |
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| WANG Yu-ying,WANG Jin-huan,YANG Han-chun. Numerical solutions of Riemann problems in three pieces for two-dimensional nonconvex scalar conservation laws[J]. Journal of Yunnan University(Natural Sciences), 2010, 32(6): 633-638 |
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| Authors: | WANG Yu-ying WANG Jin-huan YANG Han-chun |
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| Affiliation: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | The Riemann problems with three pieces of constants for two-dimensional nonconvex scalar conservation laws are considered.By using WENO and Runge-Kutta schemes,numerical analysis of solutions involving Guckenheimer structure is presented,the numerical results clearly exhibit the mathematical mechanism of Guckenheimer structure made up of global interactions among the shock waves.Thus the important nonlinear phenomenon of Guckenheimer structure of solutions under two dimensions is shown numerically. |
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