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Fluid flow modeling in complex areas. (English) Zbl 1357.76050
Summary: We show first results of 3D simulation of sea currents in a realistic context. We use the full Navier-Stokes equations for incompressible viscous fluid. The problem is solved using a second order incremental projection method associated with the finite volume of the staggered (MAC) scheme for the spatial discretization. After validation on classical cases, it is used in a numerical simulation of the Pointe à Pitre harbour area. The use of the fictious domain method permits us to take into account the complexity of bathymetric data and allows us to work with regular meshes and thus preserves the efficiency essential for a 3D code.
76M12 Finite volume methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
76D05 Navier-Stokes equations for incompressible viscous fluids
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