You can find the Gnuid paper in the early view of Communications in
Numerical Methods in Engineering.
*An adaptive mesh refinement solver for large-scale simulation of biological
flows*
Lorenzo Botti, Marina Piccinelli, Bogdan Ene-Iordache, Andrea Remuzzi, Luca
Antiga

The solver is based on a velocity correction scheme, it works with P2-P1
elements, and it is not stabilized.
Adding some kind of stabilization to the advection-diffusion equation I
think it could be used in aorta too.
In its current state the restriction on the time step size for high (>1000)
Reynolds number is quite severe.

I'm developing a DG INS solver for advection dominated flows. You will find
it at www.vmtk.org as soon as it is ready for release.

Lorenzo


2009/7/14 Vasilis Vavourakis <vas...@gmail.com>

> hi Mengda
>
> i was thinking the same thing too...i was to use libmesh so as to solve
> incompressible N-S problems in 3d...
>
> so far i have found this piece of open source code:
> http://www.vmtk.org/Main/Download
> go to "gnuid CFD solver" ;) and download it... it works...
>
> however, i do want to use some other way to solve such problems like in
> those papers:
>
> 1. Franca & Frey: Stabilized finite element methods: II. The incompressible
> Navier-Stokes equations
> Comp. Meth. Appl. Mech. Engng. (1992) 99: 209-233
> 2. Whiting & Jansen: A stabilized finite element method for the
> incompressible Navier –Stokes equations using a hierarchical basis
> Int. J. Numer. Meth. Fluids (2001) 35: 93-116
>
> sure, if somebody has implemented such a formulation, or a similar one it
> would be very much appreciated if shared in the community...
>
> Vasili
>
>
>
>
>
> 2009/7/8 Mengda Wu <phd...@gmail.com>
>
> > Hi all,
> >
> >   I am thinking about using libmesh to solve blood flow problems in aorta
> > by solving Navier-Stokes equations. I am wondering
> > if people have implemented codes more involved than ex13 and ex18.
> > Specifically, solver that has stabilization terms which can
> > address flow with high speed and some turbulence, maybe using finite
> > elements of equal order for flow and pressure.
> >
> > Thanks,
> > Mengda
> >
> >
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