| 满足最大值原理的熵格式计算线性传输方程 |
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| 引用本文： | 陈荣三,苏蒙,邹敏,肖莉.满足最大值原理的熵格式计算线性传输方程[J].同济大学学报(自然科学版),2017,45(8):1243. |
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| 作者姓名： | 陈荣三 苏蒙 邹敏 肖莉 |
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| 作者单位： | 中国地质大学(武汉),中国地质大学(武汉),中国地质大学(武汉),中国地质大学(武汉) |
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| 基金项目： | 国家自然科学基金资助(11201436). |
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| 摘 要： | 茅德康等发展了熵格式计算一维双曲守恒型方程,熵格式具有超收敛性并且适合长时间计算.但是熵格式不满足最大值原理,在最值点处会出现过高或者过低现象.发展了满足最大值原理的熵格式并且对一维和二维线性传输方程进行了数值模拟,数值结果表明该格式在最值点不会出现过高过低现象而且不会发生非物理振荡.
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| 关 键 词： | 最大值原理 熵格式 线性传输方程 |
| 收稿时间： | 2016/11/9 0:00:00 |
| 修稿时间： | 2017/5/11 0:00:00 |
On Maximum Principle Satisfying Entropy Scheme for Linear Advection Equation |
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| CHEN Rongsan,SU Meng,ZOU Min and XIAO Li.On Maximum Principle Satisfying Entropy Scheme for Linear Advection Equation[J].Journal of Tongji University(Natural Science),2017,45(8):1243. |
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| Authors: | CHEN Rongsan SU Meng ZOU Min and XIAO Li |
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| Abstract: | Mao Dekang et al. developed an entropy scheme for computing one dimensional hyperbolic conservation equations, which has a super convergence property and is suitable for long time numerical computation. But the entropy scheme does not satisfy the maximum principle, over-shooting and under-shooting occurs in the vicinity of the maximum or minimum. Numerical simulation of one dimensional and two dimensional linear advection equations is carried out. The numerical results show that the proposed scheme does not appear over-shooting and under-shooting and not occur non-physical oscillations. |
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| Keywords: | maximum principle entropy scheme linear advection equation |
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