Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method  

作　　者：郑永红 沈永明 邱大洪 夏进 

出　　处：《China Ocean Engineering》2000年第2期175-184,共10页中国海洋工程（英文版）

基　　金：National Natural Science Foundation of China under grant No.59839330;China Postdoctoral Science Foundation

摘　　要：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 bf BI-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-Based 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.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 bf BI-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-Based 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.

关 键 词：mild slope equagtition BI-CGSTAB method elliptic solver 

分 类 号：TV139.2[水利工程—水力学及河流动力学]