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2维非凸标量守恒律分3片黎曼问题的数值解 被引量：1

Numerical solutions of Riemann problems in three pieces for two-dimensional nonconvex scalar conservation laws
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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. 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.
作者 王玉英 王金环 杨汉春
机构地区 云南大学数学系
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第6期633-638,共6页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(10461010) 云南省自然科学基金资助项目(2007A020M)
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 two-dimensional nonconvex scalar conservation laws Riemann problems Guckenheimer structure WENO scheme Runge-Kutta scheme
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献14

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二级参考文献17

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共引文献1

同被引文献27

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云南大学学报（自然科学版）
2010年 第6期

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