一种新的波浪变形三维数值模式──0-1混合型边界元
A new 3-D numerical model for the simulation of wave transformation──0-1 combined type boundary element method
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摘要: 为提高边界元法模拟三维波场波浪变形的数值计算精度,借鉴常数元和线性元剖分方式、波势函数及波势函数法向导数对单元节点设定的各自适应性,提出了一种新的单元剖分模式──0-1混合型边界元,以控制和减缓由于计算误差累计而造成的波浪数值计算上的“横向振动”,借此结合边界元法的分区模式可实现较大范围的波场线性波浪变形计算,并为时域内的波浪非线性变形计算提供时间步长的数值保证.Abstract: To improve the accuracy of numerical modeling of 3-dimensional (3-D) wave transformation by boundary element method (BEM),based on the formation of constant and linear element, a new model (0-1 combined type BEM) is developed.By means of this model, the "transverse oscillation" caused by the accumulation of errors during the calculation can be suppressed.Using this and combining with sub-domain of BEM, the calculation of linear wave transformation in a large area can be done.This method can also be used for the nonlinear wave transformation in time domain.
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Key words:
- Laplace /
- 3-dimensional BEM /
- 0-1 combined type BEM
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孙大鹏.波浪变形计算的三维数值式[博士学位论文].大连理工大学,1998 梅强中.水波动力学(流体力学与应用数学讲座)2.北京:科学出版社,1984,163-166 Li Yucheng,Wave Action on Maritime Structure.Dalian:Press of Dalian University of Technology,1990 Nakayama T,Washizu K,Boundary element method applied to aralysis of tow-dimensional nonlinear slosing problems.Int J Nuber Methods Eng.1981.17:1 631～1 646 Kioka W. Numerical analysis on the dynamic response of three-dimenional free-floating structure.Proc JSCE,1982(326):155～165 小贯 天.境界要素法における0-次混合离散化法につぃて.电气学会论文集.1982,(10), 541～548 -
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