Premium
Meshless numerical simulation for fully nonlinear water waves
Author(s) -
Wu NanJing,
Tsay TingKuei,
Young D. L.
Publication year - 2005
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.1051
Subject(s) - regularized meshless method , collocation (remote sensing) , free surface , nonlinear system , laplace's equation , boundary value problem , obstacle , boundary (topology) , laplace transform , mathematical analysis , mathematics , collocation method , singular boundary method , mechanics , physics , computer science , finite element method , boundary element method , differential equation , quantum mechanics , machine learning , political science , law , thermodynamics , ordinary differential equation
A meshless numerical model for nonlinear free surface water wave is presented in this paper. An approach of handling the moving free surface boundary is proposed. Using the fundamental solution of the Laplace equation as the radial basis functions and locating the source points outside the computational domain, the problem is solved by collocation of only a few boundary points. Present model is first applied to simulate the generation of periodic finite‐amplitude waves with high wave‐steepness and then is employed to simulate the modulation of monochromatic waves passing over a submerged obstacle. Good agreements are observed as compared with experimental data and other numerical models. Copyright © 2005 John Wiley & Sons, Ltd.