Simulation of free-surface waves in liquid sloshing using a domain-type meshless method

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 equatio...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2011-09, Vol.67 (3), p.269-288
Main Authors: Wu, Nan-Jing, Chang, Kuang-An
Format: Article
Language:English
Subjects:
Collocation methods
Computational methods in fluid dynamics
Computer simulation
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Liquid sloshing
Mathematical analysis
Mathematical models
meshless
Neural networks
nonlinear waves
over-fitting
Physics
radial basis function
sloshing
Tanks
Three dimensional
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Summary: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.
ISSN:0271-2091
1097-0363
1097-0363
DOI:10.1002/fld.2346