Meshless local Petrov-Galerkin method for two-dimensional nonlinear water wave problems

被引：74
|
作者：
Ma, Q [1 ]
机构：
[1] City Univ London, Sch Engn & Math Sci, London EC1V 0HB, England
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 205卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
water waves; meshless local Petrov-Galerkin method; free surface;
D O I：
10.1016/j.jcp.2004.11.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, the meshless local Petrov-Galerkin (MLPG) method is extended to dealing with nonlinear water wave problems. The formulation is based on general fluid governing equations and a time marching procedure. At each time step, the boundary value problem for the pressure is solved using the MLPG method; and the velocity and position of nodes are updated by numerical integration. The newly-extended method is applied to simulating water waves generated by a wave maker and good agreement with analytical solutions and finite element results is presented. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：611 / 625
页数：15
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