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| Mycek, Paul; Pinon, Gregory; Germain, Gregory; Rivoalen, Elie. |
| The modelling of diffusive terms in particle methods is a delicate matter and several models have been proposed in the literature. The Diffusion Velocity Method (DVM) consists in rewriting these terms in an advective way, thus defining a so-called diffusion velocity. In addition to the actual velocity, it is used to compute the particles displacement. On the other hand, the well-known and commonly used Particle Strength Exchange method (PSE) uses an approximation of the Laplacian operator in order to model diffusion. This approximation is based on an exchange of particles strength. Although DVM is particularly well suited to particle methods since it preserves their Lagrangian aspect, its major drawback stems in the fact that it suffers from severe... |
| Tipo: Text |
Palavras-chave: Particle method; Diffusion; DVM; PSE. |
| Ano: 2013 |
URL: http://archimer.ifremer.fr/doc/00159/27006/25254.pdf |
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| Mycek, Paul; Pinon, Gregory; Germain, Gregory; Rivoalen, Elie. |
| The modelling of diffusive terms in particle methods is a delicate matter and several models were proposed in the literature to take such terms into account. The diffusion velocity method (DVM), originally designed for the diffusion of passive scalars, turns diffusive terms into convective ones by expressing them as a divergence involving a so-called diffusion velocity. In this paper, DVM is extended to the diffusion of vectorial quantities in the three-dimensional Navier–Stokes equations, in their incompressible, velocity–vorticity formulation. The integration of a large eddy simulation (LES) turbulence model is investigated and a DVM general formulation is proposed. Either with or without LES, a novel expression of the diffusion velocity is derived,... |
| Tipo: Text |
Palavras-chave: Diffusion velocity method; Particle method; Fourier analysis; Transport-dispersion equations; Navier-Stokes equations. |
| Ano: 2016 |
URL: https://archimer.ifremer.fr/doc/00250/36128/34772.pdf |
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