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Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method 被引量：4

Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method
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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.
作者 郑永红 沈永明 邱大洪 夏进
出处 《China Ocean Engineering》 SCIE EI 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
关键词 mild slope equagtition BI-CGSTAB method elliptic solver 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]
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参考文献11

  • 1[1]Berkhoff, J. C. W., 1972. Computation of Combined Refraction Diffraction, Proc. 13th International Conference Coastal Engineering, Vancouvc, 471 ～ 490.
  • 2[2]Berkhoff, J. C. W., Booy, N. and Radder, A. C., 1982. Verification of numerical wave propagation models for simple harmonic linear water waves, Coastal Engineering, 6, 255 ～ 279.
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  • 5[5]Kirby, J. T. and Dalrymple, R. A., 1984. Verification of a parabolic equation for propagation of weakly- nonlinear waves, Coastal Engineering, 8, 219～ 232.
  • 6[6]LI Bin and Anastasiou, K., 1992. Efficient Elliptic Solvers for the Mild Slope Equation Using the Multigrid Technique,Coastal Engineering, 16, 245～ 246.
  • 7[7]LI Bin, 1994. A Generalized Conjugate Gradient Model for the Mild Slope Equation, Coastal Engineering, 23, 215～225.
  • 8[8]Panchang, V. G. and Pearce, B. R., 1991. Solution of the Mild-Slope Wave Problem by Iteration, Applied Ocean Research, 13 (4), 187～ 199.
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同被引文献26

  • 1董士奎,余其铮,刘林华,谈和平.一种新的CO_2高温辐射特性窄谱带模型参数计算方法[J].工程热物理学报,2001,22(S1):177-180. 被引量：10
  • 2金巍巍,陶文铨,何雅玲.代数方程求解方法收敛速度比较及对算法健壮性的影响[J].西安交通大学学报,2005,39(9):966-970. 被引量：6
  • 3BERKHOFF J C W. Computation of combined refraction-diffraction[A]. Proc , 13th International Conference Coastal Engineering, ASCE [C]. Vancouvc,1972, 1: 471-490.
  • 4LI Bin and ANASTASIOU K. Efficient elliptic solvers for the mild slope equation using the multigrid technique[J]. Coastal Engineering, 1992, 16: 245-246.
  • 5ZHAO Y. and ANASTASIOU K. Modelling of wave propagation in the nearshore region using the mild slope equation with GMRES-based iterative solvers[J]. Int J Numer Methods Fluids, 1996, 23: 397-411.
  • 6PANCHANG V G. and PEARCE B R. Solution of the mild-slope wave problem by iteration[J]. Applied Ocean Research, 1991, 13(4) :187-199.
  • 7LI Bin. A generalized conjugate gradient model for the mild slope equation[J]. Coastal Engineering, 1994, 23 :215-225.
  • 8VAN DER VORST H A. BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear system[J]. SIAM, J Sci Stat Comput ,1992, 13(2): 631-644.
  • 9ITO T and TANIMOTO K. A method of numerical analysis of wave propagation--application to wave diffraction and refraction [A]. Proc 13th International Conference Coastal Engineering, ASCE[C]. Vancouvc,1972, 1: 503-522.
  • 10BERKHOFF J C W , BOOY N and RADDER A C. Verification of numerical wave propagation models for simple harmonic linear water waves[J]. Coastal Engineering, 1982, 6: 255-279.

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China Ocean Engineering
2000年 第2期

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