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An efficient numerical tank for non‐linear water waves, based on the multi‐subdomain approach with BEM
Author(s) -
Wang Pei,
Yao Yitao,
Tulin Marshall P.
Publication year - 1995
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.1650201203
Subject(s) - boundary element method , breaking wave , dissipation , vorticity , boundary (topology) , computer science , computer simulation , computational fluid dynamics , finite element method , computational science , mathematics , vortex , mechanics , mathematical analysis , wave propagation , engineering , physics , structural engineering , simulation , quantum mechanics , thermodynamics
An efficient 2D non‐linear numerical wave tank called LONGTANK has been developed based on a multi‐subdomain (MSD) approach combined with the conventional boundary element method (BEM). The multi‐subdomain approach aims at optimized matrix diagonalization, thus minimizing the computing time and reserved storage. The CPU per time step in LONGTANK simulation is found to increase only linearly with the number of surface nodes, which makes LONGTANK highly efficient especially when simulating long‐time wave evolutions in space. Appropriate treatment of special points on the boundary ensures high resolution in LONGTANK simulation beyond initial deformation and breaking, which allows detailed study of breaking criterion, breaker morphology, breaking dissipation, vorticity generation, etc. Detailed numerical implementation has been given with demonstration of LONGTANK simulations.