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LES based on vorticity-velocity description

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Old   July 30, 1999, 15:24
Default LES based on vorticity-velocity description
L Qian
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As we know that most LES codes(if not all) are based on the velocity-pressure description of Navier-Stokes equations. Is it possible that such a code could be based on the vorticity-velocity description, i.e. vorticity transport equation plus the definition of vorticity? What are the difficulties in doing so? Thanks.
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Old   July 30, 1999, 18:03
Default Re: LES based on vorticity-velocity description
Adrin Gharakhani
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There are no difficulties. In fact, since vorticity is the flow characteristic we are interested in most for turbulent flows, it only makes sense that we look at the velocity-vorticity formulation (at least for incompressible flow). I have posted in the past the significant advantages of this formulation over the traditional methods.

Anyway, the dynamic LES formulation for the vorticity-velocity based N-S has been presented in free space - no boundaries - for grid-free methods though there is nothing in the formulation that prevents one from using it for grid-based vorticity-velocity algorithms.

Check the following JCP papers:

Mansfield, Knio & Meneveau, A dynamic LES scheme for the vorticity transport equation: Formulation and a priori tests, JCP, vol 145, 693-730, 1998

Mansfield, Knio & Meneveau, Dynamic LES of colliding vortex rings using a 3D vortex method, JCP, vol 152, 305-345, 1999

Hope this helps

Adrin Gharakhani
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Old   August 2, 1999, 02:54
Default Re: LES based on vorticity-velocity description
Gary Dantinne
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I guess that the problem is to define wall boundary condition for the vorticity.

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Old   August 3, 1999, 18:10
Default Re: LES based on vorticity-velocity description
Tony Chen
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Hi there,

Mansfield, JR et. al recently conducted the dynamic LES of colliding vortex rings using a 3D vortex method. (J. Comput. Phys. 152: 305~345 (1999). The solution is based on the vorticity-velocity discription which you may be interested in.

Hope this helps.

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