Modified SFDI for fully nonlinear wave simulation
Modified SFDI for fully nonlinear wave simulation
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DOI：
10.3970/cmes.2015.106.001
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发表时间：
2015
影响因子：
2.4
通讯作者：
Guochun Xu;S. Yan;Q. Ma
中科院分区：
文献类型：
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作者：
Guochun Xu;S. Yan;Q. Ma
在基于Rankine源解的无网格局部Petrove-Galerkin方法（MLPG-R）中，发展了一种简化的有限差分插值（SFDI）格式用于数值插值和梯度计算（CMES，Vol.23（2），pp. 75-89）。数值试验的结论是，SFDI一般是一样准确的线性移动最小二乘法（MLS），但需要更少的CPU时间。本文提出了一种改进的SFDI，用于非线性水波的数值模拟，考虑到与波浪有关的参数的空间变化的典型特征。进行了系统的数值研究，结果表明，修改大大提高了SFDI的梯度估计的鲁棒性。虽然该格式最初是为无网格方法推导的，但本文通过基于完全非线性位势理论的拟任意拉格朗日欧拉有限元法（QALE-FEM）的完全非线性波浪模拟，讨论了该格式在基于网格方法中的可行性和精度。
In the Meshless Local Petrove-Galerkin based on Rankine source solution (MLPG-R), a simplified finite difference interpolation (SFDI) scheme was developed for numerical interpolation and gradient calculation (CMES, Vol. 23(2), pp. 75-89). Numerical tests concluded that the SFDI is generally as accurate as the linear moving least square method (MLS) but requires less CPU time. In this paper, a modified SFDI is proposed for numerically modelling of nonlinear water waves, considering the typical feature of the spatial variation of the wave-related parameters. Systematic numerical investigations are carried out and the results indicate that the modification considerably improves the robustness of the SFDI on gradient estimation. Although the scheme is originally derived for meshless method, its feasibility and accuracy in the mesh-based methods are discussed here through the fully nonlinear wave simulation using the Quasi Arbitrary Lagrangian Eulerian Finite Element Method (QALE-FEM), which is based on fully nonlinear potential theory.