Premium
A simulation of free surface waves for incompressible two‐phase flows using a curvilinear level set formulation
Author(s) -
Price W. G.,
Chen Y. G.
Publication year - 2006
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.1126
Subject(s) - curvilinear coordinates , slosh dynamics , free surface , reynolds averaged navier–stokes equations , computational fluid dynamics , mechanics , mathematics , level set method , reynolds number , compressibility , flow (mathematics) , coordinate system , breaking wave , volume of fluid method , geometry , mathematical analysis , physics , computer science , wave propagation , segmentation , artificial intelligence , image segmentation , quantum mechanics , turbulence
A level set formulation in a generalized curvilinear coordinate is developed to simulate the free surface waves generated by moving bodies or the sloshing of fluid in a container. The Reynolds‐averaged Navier–Stokes (RANS) equations are modified to account for variable density and viscosity in two‐phase (i.e. water–air) fluid flow systems. A local level set method is used to update the level set function and a least square technique adopted to re‐initialize it at each time step. To assess the developed algorithm and its versatility, a selection of different fluid–structure interaction problems are examined, i.e. an oscillating flow in a two‐dimensional square tank, a breaking dam involving different density fluids, sloshing in a two‐dimensional rectangular tank and a Wigley ship hull travelling in calm water. Copyright © 2005 John Wiley & Sons, Ltd.