Jie,

I am working on an incompressible Navier-Stokes solver which may later be extended to slightly compressible solver. The flow of interest could sometimes be convection-dominated so I would like to use Petro-Galerkin stabilization method, specifically, the streamline-upwind Petrov Galerkin (SUPG) method.

There are already a few tutorials on solving Navier-Stokes equations, but none of them uses stabilization method. I started learning deal.ii a month ago and I still don't feel comfortable writing such a complicated program from scratch. So I wonder if anyone has done similar things. Any suggestions on how to solve the resulting matrix system of SUPG method are also welcome.

I think you want to look at this code gallery program:
  https://dealii.org/developer/doxygen/deal.II/code_gallery_two_phase_flow.html

It's a large program, so it may not be easy to read through, but I am pretty sure that it uses stabilization for the N-S equations.

Best
 W.

--
------------------------------------------------------------------------
Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/

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