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Von Karman Vortex Street behind a flat plate (Laminar).mov

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Uploaded by on Nov 21, 2009

A Von Karman Vortex Street forming behind a flat plate in a 2D channel. The Navier-Stokes equations were solved here using the semi-Lagrange method (for the advection terms) with Helmholtz decomposition (for the pressure field), as outlined in the paper 'Stable Fluids' by Jos Stam (1995) (and various others by the same author). Some vorticity confinement was used to compensate for false diffusion. The Reynolds number based on plate length is 80, but this is not to be used for any strict comparison due to the use of vorticity confinement and false diffusion. The stable fluids solution paradigm is not really intended for scientific purposes, but rather for real time good-looking stuff. It is a fully implicit first order in time, second order in space method. Thus it never 'blows up' and is therefore attractive for use in games where absolute precision is not really an issue.

Colouration is based on the concentration of a passive scalar advected by the flow (i.e. dye / smoke injection). The channel walls are no-slip boundaries. Also some dye is injected on the wall at the inlet to see how the near-wall flow is affected by the outer motions. Once again, this is just for fun and is NOT a serious computation. Convergence etc. was not enforced and there is indeed some small amount of mass disappearing into numerical oblivion....

As usual, all coded in Visual Basic ;-D

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Uploader Comments (khyar)

  • Beautiful. What CFD package is this from?

  • @nikan4now Thanks! No package, I wrote this myself in Visual Basic. Check out the description for more info. The solution procedure is based on Jos Stam's 1995 'stable fluids' approach.

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  • Respect.

  • just to echo what @panastraxan said...that is one hell of an achievement!

    hats off to you

  • Even if this is not a 'serious' computation and despite simplifications, I can see this being a real nightmare coding it into VB... Well-done !!

  • fantastic 5/5

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