Meshless local Petrov-Galerkin method for two-dimensional nonlinear water wave problems
Meshless local Petrov-Galerkin method for two-dimensional nonlinear water wave problems
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DOI：
10.1016/j.jcp.2004.11.010
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发表时间：
2005-05
影响因子：
4.1
通讯作者：
Q. Ma
中科院分区：
文献类型：
--
作者：
Q. Ma
本文将无网格局部Petrov-Galerkin(MLPG)方法推广到处理非线性水波问题。该公式基于一般的流体控制方程和时间推进过程。在每个时间步，用MLPG方法求解压力的边值问题，用数值积分来更新节点的速度和位置。将新推广的方法应用于造波机产生的水波的模拟，得到了与解析解和有限元结果相一致的结果。
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.