# LES based on vorticity-velocity description

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 July 30, 1999, 15:24 LES based on vorticity-velocity description #1 L Qian Guest   Posts: n/a 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.

 July 30, 1999, 18:03 Re: LES based on vorticity-velocity description #2 Adrin Gharakhani Guest   Posts: n/a 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

 August 2, 1999, 02:54 Re: LES based on vorticity-velocity description #3 Gary Dantinne Guest   Posts: n/a Hi, I guess that the problem is to define wall boundary condition for the vorticity.

 August 3, 1999, 18:10 Re: LES based on vorticity-velocity description #4 Tony Chen Guest   Posts: n/a 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. Tony

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