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Simulation of free‐surface waves in liquid sloshing using a domain‐type meshless method
Author(s) -
Wu NanJing,
Chang KuangAn
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2346
Subject(s) - slosh dynamics , radial basis function , collocation (remote sensing) , laplace transform , free surface , partial differential equation , smoothed particle hydrodynamics , nonlinear system , laplace's equation , collocation method , regularized meshless method , surface (topology) , domain (mathematical analysis) , mathematics , numerical analysis , poisson's equation , mathematical analysis , artificial neural network , computer science , mechanics , boundary element method , finite element method , singular boundary method , differential equation , physics , geometry , artificial intelligence , ordinary differential equation , quantum mechanics , machine learning , thermodynamics
Based on the idea of avoiding over‐fitting in artificial neural‐network research using radial basis functions (RBFs), an improved RBF collocation method that reduces the number of RBFs without compromising the accuracy is proposed. This method overcomes the problem of dissatisfying governing equations on boundaries when the conventional RBF collocation method is used in solving partial differential equations. The Poisson and the Laplace equations are chosen to test the proposed method. Based on the method, a three‐dimensional numerical model is established to simulate the fully nonlinear free‐surface waves of sloshing water in a rectangular tank. Simulations of both two‐dimensional and three‐dimensional cases are performed. Simulation results from the present model are validated with experimental measurements and other numerical results. Copyright © 2010 John Wiley & Sons, Ltd.