Eigenvalue problem for the Navier-Stokes equations

General Discussion
1

Hi, I´m trying to solve the eigenvalue problem for the Navier-Stokes equations in a 2D configuration.

I’ve tried the method explained in the FreeFem manual but i haven’t find a way to adapt it to a problem with more than one function. Also, the problem has the peculiarity that pressure isn’t time dependent so the matrices have a special shape. I couldn’t find any example for this.

If someone knew how to solve it or knows an example where this problem is treated, it would be very helpful.

Thanks in advance

2

You can have a look at the code (and paper) in the following repository, especially the file Eigensolver.edp. It’s in 3D, but should be easily adapted to 2D (in fact I need to do that for an upcoming FreeFEM tutorial). Let me know if you have some specific questions.