MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (2): 186-201.

MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS

罗振东^1,2, 朱江², 曾庆存², 谢正辉²

1. Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China;
2. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P. R. China

收稿日期:2000-08-30 修回日期:2003-06-28 出版日期:2004-02-18 发布日期:2004-02-18
基金资助:
the National Natural Science Foundation of China (10071052, 49776283);the "Plan of Hundred Talents" of Chinese Academy of Sciences;the National Natural Science Foundation of China for Outstanding Young Scientists (40225015);the Beijing Excellent Talent Special Foundation;the Natural Sciences Foundation of Beijing

MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS

LUO Zhen-dong^1,2, ZHU Jiang², ZENG Qing-cun², XIE Zheng-hui ²

1. Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China;
2. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P. R. China

Received:2000-08-30 Revised:2003-06-28 Online:2004-02-18 Published:2004-02-18
Supported by:
the National Natural Science Foundation of China (10071052, 49776283);the "Plan of Hundred Talents" of Chinese Academy of Sciences;the National Natural Science Foundation of China for Outstanding Young Scientists (40225015);the Beijing Excellent Talent Special Foundation;the Natural Sciences Foundation of Beijing

摘要/Abstract

摘要： The mixed finite element(MFE) methods for a shallow water equation system consisting of water dynamics equations,silt transport equation,and the equation of bottom topography change were derived.A fully discrete MFE scheme for the discrete-time along characteristics is presented and error estimates are established.The existence and convergence of MFE solution of the discrete current velocity,elevation of the bottom topography,thickness of fluid column,and mass rate of sediment is demonstrated.

中图分类号:

罗振东;朱江;曾庆存;谢正辉. MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 186-201.

LUO Zhen-dong;ZHU Jiang;ZENG Qing-cun;XIE Zheng-hui . MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 186-201.

参考文献

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MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS

MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION (Ⅱ)——THE DISCRETE-TIME CASE ALONG CHARACTERISTICS

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