FN Archimer Export Format
PT J
TI Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations
BT 
AF MYCEK, PAUL
   PINON, Gregory
   GERMAIN, Gregory
   RIVOALEN, Elie
AS 1:1;2:2;3:3;4:2,4;
FF 1:;2:;3:PDG-REM-RDT-LCSM;4:;
C1 Duke Univ, Dept Mech Engn & Mat Sci, 144 Hudson Hall,Box 90300, Durham, NC 27708 USA.
   Univ Havre, CNRS, UMR 6294, Lab Ondes & Milieux Complexes, 53 Rue Prony,BP 540, F-76058 Le Havre, France.
   IFREMER, Hydrodynam & Metocean Serv, 150 Quai Gambetta,BP 699, F-62321 Boulogne Sur Mer, France.
   INSA Rouen, EA 3828, Lab Optimisat & Fiabilite Mecan Struct, Ave Univ,BP 08, F-76801 St Etienne, France.
C2 UNIV DUKE, USA
   UNIV LE HAVRE, FRANCE
   IFREMER, FRANCE
   INSA ROUEN, FRANCE
SI BOULOGNE
SE PDG-REM-RDT-LCSM
IN WOS Ifremer jusqu'en 2018
   copubli-france
   copubli-univ-france
   copubli-int-hors-europe
IF 0.961
TC 11
UR https://archimer.ifremer.fr/doc/00250/36128/34772.pdf
LA English
DT Article
DE ;Diffusion velocity method;Particle method;Fourier analysis;Transport-dispersion equations;Navier-Stokes equations
AB 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.
PY 2016
PD JUN
SO Computational & Applied Mathematics
SN 0101-8205
PU Springer Heidelberg
VL 35
IS 2
UT 000378929000008
BP 447
EP 473
DI 10.1007/s40314-014-0200-5
ID 36128
ER

EF