I have a rigid body that moves according to a set of governing ODEs, and I'd like to numerically visualize the vortices that are shed by this object. How could I proceed?

I've been reading up on the Navier-Stokes equation and have a better grasp of it now, and I've watched some tutorials on implementing a 2D solver. But, I still have some confusion:

Do I prescribe the movement of the rigid body, when trying to solve the N-S equations?

It would seem strange to do so, because the movement of the rigid body came from dynamical solutions to the governing ODEs.

  • 1
    $\begingroup$ This is a fluid-structure interaction problem. You probably won't solve it in a day. $\endgroup$
    – Christoph
    Apr 26 '20 at 5:03
  • $\begingroup$ You should read up on the "immersed boundary method". $\endgroup$ Apr 26 '20 at 22:20
  • $\begingroup$ There was a very similar post on this forum just a couple of weeks ago. It had a lot of information -- go find that! $\endgroup$ Apr 26 '20 at 22:21
  • $\begingroup$ The choice of visualization is something that depends on one's personal preferences. If you can point to a picture showing visualization of the kind that you have in mind then possibly somebody here can help produce something similar. $\endgroup$ Apr 27 '20 at 0:21
  • $\begingroup$ Ok, based on that picture what you want is a contour plot of the flow vorticity. Once you have a numerical solution for fluid variables as a function of spatial coordinates and time, just use any standard contour plot routine to plot the vorticity at a chosen time. $\endgroup$ Apr 27 '20 at 2:07

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