On 07/04/2013 03:02 PM, Ankit Mahato wrote:
> I found few papers which tells us some other approaches. Do have a look at
> them and lend your views:
>
>     -
>     http://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&ved=0CC0QFjAA&url=http%3A%2F%2Fwww.wias-berlin.de%2Fpeople%2Fjohn%2FPP99_13.ps&ei=mW3VUZqzOMmzrgeKuYD4DA&usg=AFQjCNEp9_rShrLSjkYdax6bOimSrkD-KQ&sig2=8S654V-zz2vd4mFZOilZCw&bvm=bv.48705608,d.bmk
>     - http://numerik.iwr.uni-heidelberg.de/Oberwolfach-Seminar/CFD-Course.pdf
>     -
>     http://dspace.uta.edu/bitstream/handle/10106/5144/JIAJAN_uta_2502M_10764.pdf
>     - http://www.reaction-eng.com/downloads/nksolver_pernice.pdf
>     - http://aero-comlab.stanford.edu/Papers/birkenjamesonproceedings09.pdf
>     - https://cs.uwaterloo.ca/research/tr/1993/02/CS-93-02.pdf
>     - http://www.cs.sandia.gov/~rstumin/backtrack.pdf
>     - http://repository.cmu.edu/cgi/viewcontent.cgi?article=1032&context=math
>     - http://www8.cs.umu.se/kurser/5DA001/HT07/lectures/newton-handouts.pdf


 From those links, I think only the first two links are interesting for us
(other texts describe FV, or are 2D only etc.). In CFD-Course.pdf, check
especially section 5, where some approaches to solving the (non)linear system
are given (e.g. a Schur complement approach). Unfortunately (from the
complexity/time constraint point of view), most people seem to agree that
multigrid is the way to go.

To proceed with the gsoc, maybe it would be good if you, in parallel to this,
tried to create an example with all the equations coupled, to have something to
play with. It could be small and use non-realistic viscosity to make the
solution easier. Use a 2D mesh, as that could be made reasonably fine.

Then you could develop/try some iterative schemes to solve the system. (e.g.
solve flow i -> solve energy i -> solve flow i+1 ...).
 

What do you think?

r.