椭圆型缓坡方程的一个有效的有限元解

赵明; 滕斌

椭圆型缓坡方程的一个有效的有限元解

赵明,
滕斌

大连理工大学海岸与近海工程国家重点实验室, 辽宁, 大连, 116024

基金项目: 国家自然科学基金资助项目(19732004;50025924)

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出版历程
- 收稿日期: 2000-10-20
- 修回日期: 2001-03-12

An efficient finite element solver for the elliptic mild-slope equation

ZHAO Ming,
TENG Bin

State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 将海绵层消波的方法用于有限元方法中,提出了缓坡方程的一种有效的有限元求解方法.在应用有限元法求解椭圆型缓坡方程时,通过在方程中加摩阻项,并在入射边界(波浪由此边界进入计算域)处使用不连续单元,将绕射势从总势中分离出来,在边界上利用海绵层进行消波处理,有效地消除了由于引用放射边界条件引起的误差和数值反射现象.
- 有限元方法 /
- 水波 /
- 数值解
Abstract: An efficient finite element method for solving mild-slope equation is proposed.When solving the mild-slope equation,a spongy layer is used.The diffraction potential is subtracted from the total velocity potential at the incident boundary by using discontinuous elements.The error and numerical reflection due to using radiation boundary condition are reduced efficiently because the po tential function is damped at the spongy layer through adding a friction parameter into the mild-slope eqauation.
- finite element method /
- wave /
- numerical solution

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参考文献(10)

BERKHOFF J C W. Computation of combined refraction diffraction [A]. Proc 13th International Conference on Coastal Engineering [C]. Vancouver:ASCE, 1972. 471～490.

COPELAND G J M. A practical alternative to the "mild-slope"wave equation [J]. Coastal Engineering, 1985, 9:125～149.

VAN DER VORST H A. BI-CGSTAB:a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric lin ear system [J]. SIAM J Sci Stat Comput, 1992, 13(2):631～644.

ZHENG Yong-hong. Efficient elliptic solver for the mild slope equation using BI-CGSTAB method[J]. China Ocean Engineering, 2000, 14(2):175～184.

BEHRENDT L, JONSSON I G. The physical basis of mild-slope equation [A]. Proc 19th International Conference on Coastal Engineering [C]. Houston:ASCE, 1984. 941～954.

赵明,滕斌,金生缓坡方程的有限元解[J]大连理工大学学报,2000,40(1):117～119

MADSEN P A, LARSEN J. An efficient finite difference approach to the mild-slope equation[J]. Coastal Engineering,1987, 11:329～351.

ITO T, TANIMOTO K. A method of numerical analysis of wave propagation application to wave diffraction and refraction [A]. Proc 13th International Conference on Coastal Engineering [C]. Vancouver:ASCE, 1972. 503～522.

BERKHOFF J C W, BOOJI N, RADDER A C. Verification of numerical wave propagation models for simple harmonic water waves [J]. Coastal Engineering, 1982, 6:255～279.

ZHAO Y, 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.

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