Chorin, A.J., "Vortex Models and Boundary Layer Instability", SIAM J. Sci. Stat. Comput., 1, p1-21, 1980.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....layers) filament segments, tubes or loops. The structure of the problem determines which definition of (x) is to be used. In 2 dimensions, for flow over a bluff body, vortex blobs are used in the interior while the no slip condition is simulated by the creation of vortex sheets at the boundary [19, 20]. These sheets are then allowed to move in, and contribute to, the flow until, at a certain distance from the wall, they are transformed into vortex blobs. For 3 dimensions we can think of the Lagrangian discretisation as consisting of vortex filaments in the interior, which may also stretch in ....

Chorin, A.J., "Vortex Models and Boundary Layer Instability", SIAM J. Sci. Stat. Comput., 1, p1-21, 1980.

....D Dt = ru) Delta r 2 ; 10) where Df Dt = f t (u Delta r) f is the Lagrangian derivative and is the kinematic viscosity. The vorticity equation is thus a nonlinear transport equation which can be solved using a particle method. In the regularized version of the method, [32, 11, 12, 34, 35, 27, 5, 6, 29, 1, 28, 4, 9, 14, 10, 13, 44, 45, 46, 47] the particle representation of the vorticity field is taken as: oe (x; t) X q i oe (x Gamma x q (t) q (t) vol q 4 (11) X q i oe (x Gamma x q (t) fl q (t) where i oe is a radially symmetric regularization function and oe is a smoothing radius (i.e. a core ....

A. Chorin. Vortex models and boundary layer instability. SIAM J. Sci. Stat. Comput., 1(1):1--21, 1980.

.... Biot Savart integral for the velocity [1] The latter approach and its variants have been used extensively in three dimensional unbounded domains [15, 24] Fishelov combined the method by Anderson and Greengard [1] with the three dimensional extension of the vorticity generation scheme by Chorin [6, 7] (for uniform tile distributions) and simulated turbulent flow over a flat plate [8] Diffusion was approximated using the random walk method and the method of images was applied to impose the zero normal flux condition at the wall. Chorin performed a similar study using vortex filaments instead ....

....tile distributions) and simulated turbulent flow over a flat plate [8] Diffusion was approximated using the random walk method and the method of images was applied to impose the zero normal flux condition at the wall. Chorin performed a similar study using vortex filaments instead of blobs [7]. In this paper, a random vortex boundary element method is used for the grid free simulation of time dependent incompressible viscous flow in three dimensional configurations. See [9] for details. The random vortex method with a second order core function for the vorticity is applied to ....

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Chorin, A.J., "Vortex Models and Boundary Layer Instability," SIAM J. Sci. Stat. Comp., 1 (1), pp. 1, 1980.

....circulation theorem to vortex elements. At a given time circulation is created at a wall to extinguish the slip field . This circulation is typically attached to a vortex sheet which is made to diffuse vertically from the wall in a particle modelling of the Prandtl boundary layer equations [5]. Upon leaving the neighbourhood of the boundary, these sheets are transformed into vortex segments (or blobs) bearing the circulation created at the wall. These segments are parallel to the wall and perpendicular to the slip field at point of creation. The segments are then transported in the ....

....ESAIM: Proceedings, Vol. 1, 1996, pp. 65 76 D.M. Summers et al. Hybrid Vortex Magnet Methods for Flow Over a Solid Boundary 71 During this creation process we can also assign to each tile the circulation required to effect no slip locally; for a h Theta h tile, this is h( Gammau y ; u x ) [5], following the usual vortex sheet methods. The use of a tent function smoothing kernel leads to a smooth velocity due to sheets at the surface. The back flow associated with vorticity is reduced, and this leads to greater numerical stability near the wall. Therefore it seems reasonable to use ....

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Chorin, A.J., "Vortex Models and Boundary Layer Instability," SIAM J. Sci. Stat. Comp., 1, pp. 1--21, 1980.

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