| 椭圆型缓坡方程的高效求解方法 |
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| 引用本文： | 郑永红,沈永明.椭圆型缓坡方程的高效求解方法[J].水科学进展,2001,12(3):281-285. |
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| 作者姓名： | 郑永红 沈永明 |
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| 作者单位： | 1.中国科学院广州能源研究所, 广东广州510070; |
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| 基金项目： | 国家自然科学基金重点项目(59839330);四川大学高速水力学国家重点实验室访问学者基金. |
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| 摘 要： | 将一种十分有效的线性方程组的求解方法BI-CGSTAB推广用于复数域,并首次采用该方法求解了椭圆型缓坡方程离散得到的代数方程组,模拟了比较复杂的缓坡地形上的波浪变形。数值结果表明,BI-CGSTAB技术能快速高效地求解椭圆型缓坡方程,且其结果和前人采用其他方法求解椭圆型缓坡方程的结果相当一致,而BI-CGSTAB方法的收敛速度比其他方法要快得多。
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| 关 键 词： | 椭圆型缓坡方程 BI-CGSTAB法 数值解 |
| 文章编号： | 1001-6791(2001)03-0281-05 |
| 收稿时间： | 2000-07-23 |
| 修稿时间： | 2000年7月23日 |
Efficient Solution Method for the Elliptic Mild Slope Equation |
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| ZHENG Yong-hong,SHEN Yong-ming.Efficient Solution Method for the Elliptic Mild Slope Equation[J].Advances in Water Science,2001,12(3):281-285. |
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| Authors: | ZHENG Yong-hong SHEN Yong-ming |
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| Institution: | 1.Cuangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Cuangzhou 510070, China;2.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | An efficient solution method,BI-CGSTAB,is extended and used to solve the linear algebraic system obtained from the discretization of the elliptic mild slope equation and to simulate the wave propagation over various topography with mild slopes.The numerical results show that the BI-CGSTAB method is efficient for solving the elliptic mild slope equation.The results obtained by the BI-CGSTAB method are much same as those obtained by other authors with different solution methods,but the convergent rate is much faster than that of other methods. |
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| Keywords: | elliptic mild slope equation BI-CGSTAB method numerical solutionelliptic mild slope equation BI-CGSTAB method numerical solution |
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