Fluid flow modeling in complex areas

Jean-Marc Mounsamy (1) , Jacques Laminie (1) , Pascal Poullet (1)

1 LAMIA - Laboratoire de Mathématiques Informatique et Applications

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.

Domaines: Analyse numérique [math.NA]

Jean-Marc Mounsamy, Jacques Laminie, Pascal Poullet. Fluid flow modeling in complex areas. Congrès National de Mathématiques Appliquées et Industrielles, May 2011, Guidel, France. pp.263-268, ⟨10.1051/proc/201235025⟩. ⟨hal-00770270⟩