| Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method |
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| 作者姓名： | 郑永红 沈永明 邱大洪 夏进 |
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| 作者单位： | ZHENG Yonghong SHEN Yongming QIU Dahong XIA Jin
1 Postdoctor，State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116023，P. R. China
2 Professor，State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116023，P. R. China
3 Academician of Chinese Academy of Sciences，Professor，State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，Dalian 116023，P. R. China
4 Associate Professor，Dalian Design and Research Institute of Environmental Science，Dalian 116023，P. R. China |
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| 摘 要： | The elliptic mild slope equation is used to simulate linear wave propagation over variable seabed topography with mild slopes.The governing equation is discretized by the finite difference method.Ba-sed on the BI-CGSTAB technique.an attractive variant of BI-Conjugate Gradients(BI-CG)method,theobtained linear algebraic system of equations is solved.Numerical experiments show that the BI-CGSTABmethod is efficient for solving the elliptic mild slope equation.The results obtained by the BI-CGSTAB-Ba-sed method are much the same as those obtained by other authors with different solution methods,but theconvergence rate is much faster than that of other methods.
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Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method |
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| ZHENG Yonghong.Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method[J].China Ocean Engineering,2000,14(2):175-184. |
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| Authors: | ZHENG Yonghong |
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| Abstract: | The elliptic mild slope equation is used to simulate linear wave propagation over variable sea bed topography with mild slopes. The governing equation is discretized by the finite difference method. Based on the BI-CGSTAB technique, an attractive variant of Bl-Conjugate Gradients (BI-CG) method, the obtained linear algebraic system of equations is solved. Numerical experiments show that the BI-CGSTAB method is efficient for solving the elliptic mild slope equation. The results obtained by the BI-CGSTAB-Ba-sed method are much the same as those obtained by other authors with different solution methods, but the convergence rate is much faster than that of other methods. |
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| Keywords: | mild slope cquagtiton BI-CGSTAB method elliptic solver |
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