Geodesic
A new diffusion scheme in vortex methods for three-dimensional incompressible flows
S. Shankar1 ; L. L. van Dommelen1
1 Department of Mechanical Engineering FAMU/FSU College of Engineering PO Box 2175, Tallahassee, Florida, 32316, USA
ESAIM. Proceedings, Tome 1 (1996), pp. 587-599 Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

We propose and validate a new, accurate, robust, mesh-free method to represent diffusion processes in Lagrangian computations, called "vorticity redistribution". The basic idea of this method is to represent diffusion by modifying the strength of the vortices: circulation is exchanged between vortices in the immediate vicinity of one another in such a way that the correct diffusion is achieved. Our method resolves length scales up to the spacing of the vortices, and it has no inherent limitations on the order of accuracy. Moreover, conservation of circulation, linear and angular momentum are implicit in the formulation. For its validation, we compute the flow over an impulsively started cylinder at Re=9500 (based on diameter); we compare the vorticity field with another recent high resolution simulation. The method is extended to three-dimensions and tested on two linear problems.
DOI : 10.1051/proc:1996029

S. Shankar 1 ; L. L. van Dommelen 1

1 Department of Mechanical Engineering FAMU/FSU College of Engineering PO Box 2175, Tallahassee, Florida, 32316, USA 
@article{EP_1996_1_a40,
     author = {S. Shankar and L. L. van Dommelen},
     title = {A new diffusion scheme in vortex methods for three-dimensional incompressible flows},
     journal = {ESAIM. Proceedings},
     pages = {587--599},
     year = {1996},
     volume = {1},
     doi = {10.1051/proc:1996029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1996029/}
}
TY  - JOUR
AU  - S. Shankar
AU  - L. L. van Dommelen
TI  - A new diffusion scheme in vortex methods for three-dimensional incompressible flows
JO  - ESAIM. Proceedings
PY  - 1996
SP  - 587
EP  - 599
VL  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:1996029/
DO  - 10.1051/proc:1996029
LA  - en
ID  - EP_1996_1_a40
ER  - 
%0 Journal Article
%A S. Shankar
%A L. L. van Dommelen
%T A new diffusion scheme in vortex methods for three-dimensional incompressible flows
%J ESAIM. Proceedings
%D 1996
%P 587-599
%V 1
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1996029/
%R 10.1051/proc:1996029
%G en
%F EP_1996_1_a40
S. Shankar; L. L. van Dommelen. A new diffusion scheme in vortex methods for three-dimensional incompressible flows. ESAIM. Proceedings, Tome 1 (1996), pp. 587-599. doi: 10.1051/proc:1996029

Cité par Sources :