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Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method

Abstract : Wall boundary conditions in smoothed particle hydrodynamics (SPH) is a key issue to perform accurate simulations. We propose here a new approach based on a renormalising factor for writing all boundary terms. This factor depends on the local shape of a wall and on the position of a particle relative to the wall, which is described by segments (in two-dimensions), instead of the cumbersome fictitious or ghost particles used in most existing SPH models. By solving a dynamic equation for the renormalising factor, we significantly improve traditional wall treatment in SPH, for pressure forces, wall friction and turbulent conditions. The new model is demonstrated for cases including hydrostatic conditions for still water in a tank of complex geometry and a dam break over triangular bed profile with sharp angle where significant improved behaviour is obtained in comparison with the conventional boundary techniques. The latter case is also compared with a finite volume and volume-of-fluid scheme. The performance of the model for a two-dimensional laminar flow in a channel is demonstrated where the profiles of velocity are in agreement with the theoretical ones, demonstrating that the derived wall shear stress balances the pressure gradient. Finally, the performance of the model is demonstrated for flow in a schematic fish pass where both the velocity field and turbulent viscosity fields are satisfactorily reproduced compared with mesh-based codes.
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Contributeur : Christophe Kassiotis Connectez-vous pour contacter le contributeur
Soumis le : jeudi 26 avril 2012 - 16:26:56
Dernière modification le : vendredi 12 novembre 2021 - 17:08:07
Archivage à long terme le : : lundi 26 novembre 2012 - 15:50:53


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Martin Ferrand, Dominique R. Laurence, Benedict D. Rogers, Damien Violeau, Christophe Kassiotis. Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method. International Journal for Numerical Methods in Fluids, 2013, 71 (476-472), pp.Online. ⟨10.1002/fld.3666⟩. ⟨hal-00691603⟩



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