| 压差方程的广义黎曼问题格式 |
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| 引用本文： | 王保军,杨永举,王顺钦,王景泉,职占江. 压差方程的广义黎曼问题格式[J]. 郑州大学学报(自然科学版), 2012, 0(3): 8-11,15 |
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| 作者姓名： | 王保军 杨永举 王顺钦 王景泉 职占江 |
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| 作者单位： | [1]南阳师范学院数学与统计学院,河南南阳473061 [2]河南大学数学系,河南开封475001 |
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| 基金项目： | 河南省自然科学基金资助项目,编号102300410145; 南阳师范学院项目,编号nytc2006k60 |
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| 摘 要： | 引入黎曼不变量对中心疏散波重解,构造了压差方程的广义黎曼问题格式.数值结果验证了广义黎曼问题格式的高精度性质,发现Godunov类型格式对压差方程只包含强简单波的黎曼解有很高的精度,对包含弱简单波的黎曼解是不适用的.
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| 关 键 词： | 广义黎曼问题格式 黎曼不变量 特征坐标 |
Generalized Riemann Problem Scheme for Pressure Gradient Equations |
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| WANG Bao-jun,YANG Yong-ju,WANG Shun-qin,WANG Jing-quan,ZHI Zhan-jiang. Generalized Riemann Problem Scheme for Pressure Gradient Equations[J]. Journal of Zhengzhou University (Natural Science), 2012, 0(3): 8-11,15 |
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| Authors: | WANG Bao-jun YANG Yong-ju WANG Shun-qin WANG Jing-quan ZHI Zhan-jiang |
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| Affiliation: | 1.College of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China; 2.Department of Mathematics,Henan University,Kaifeng 475001,China) |
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| Abstract: | Riemann invariants were introduced as the main ingredient to solve the generalized Riemann problem.GRP scheme was derived for pressure gradient equations.Numerical results implied Godunov-type schemes were suitable for Riemann solutions consisting of only strong simple waves and insuitable for those containing weak simple waves. |
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| Keywords: | generalized Riemann problem scheme Riemann invariants characteristic coordinates |
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