[dune-pdelab] Instationary Navier-Stokes equations with Finite Volume method

CERRITO Samuel Samuel.CERRITO at eurogiciel.fr
Tue Sep 9 15:44:00 CEST 2014


Hello,

I am currently trying to run a Navier-Stokes equation simulation using PDELab module. I want to solve the instationary equations with a  Finite Volume method.

The instationary case using a Finite Element method and boundary conditions is working. So I tried to change both  local operator and finite element map to reach my goal; The code is running with no errors but the solutions I get are not good at all.

I use classes from stokesdg.hh  as local operators and P0LocalFiniteElementMap as finite element map for pressure and velocity components. My idea was to turn discontinuous Galerkin case into finite volume method  by using a zero order polynomial (P0LocalFiniteElementMap).

This method doesn’t seem to work, do you think the classes I use are appropriate to solve these equations ? I am aware of the existence of StokesDGVectorFEM but I’m not quite sure about how it works.

Are there any other local operators I can try ?

Thanks in advance for your help,

PDELab 2.0.0
Dune core module 2.3.1

Samuel Cerrito
Software engineer at Eurogiciel
Third part for CEA Cadarache
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