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Couplage de méthodes numériques en simulation directe d'écoulements incompressibles

Abstract : This work is devoted to the developement of methods based on lagrangian numerical schemes as alternative or complement to the classical Eulerian methods in the context of direct numerical simulation of incompressible viscous flows around obstacls. We are interested in hybrid techniques blending finite-differences and vortex methods. When the domain is decomposed in distinct subdomains ,which are traited either by Eulerian or Lagrangian Methods, high order interpolation formulas allow to realise the consistent interface conditions between the subdomains. We are able to design domain decomposition techniques of Euler/Lagrange or Lagrange/Lagrange type which combine (velocity-pressure) and (velocity-vorticity) formulation. The different methods are validated on a number of fluid flows (driven cavity, rebound of vortex dipole, backward-facing step, flow past a cylinder) and are compared with high order finite-difference methods.
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Submitted on : Thursday, February 19, 2004 - 3:49:06 PM
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Mohamed Lemine Ould Salihi. Couplage de méthodes numériques en simulation directe d'écoulements incompressibles. Modélisation et simulation. Université Joseph-Fourier - Grenoble I, 1998. Français. ⟨tel-00004901⟩

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