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- Title
Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations.
- Authors
Mycek, Paul; Pinon, Grégory; Germain, Grégory; Rivoalen, Elie
- Abstract
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, which makes it easier to approximate and which highlights the analogy with the original formulation for scalar transport. From this statement, DVM is then analysed in one dimension, both analytically and numerically on test cases to point out its good behaviour.
- Subjects
MATHEMATICAL models of diffusion; VELOCITY measurements; PARTICLE methods (Numerical analysis); NAVIER-Stokes equations; VORTEX motion
- Publication
Computational & Applied Mathematics, 2016, Vol 35, Issue 2, p447
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-014-0200-5