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On Wednesday, 10 July 2013 22:19:47 UTC+5:30, Robert Cimrman wrote:
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:
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http://numerik.iwr.uni-heidelberg.de/Oberwolfach-Seminar/CFD-Course.pdf
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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
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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.
okey
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.
okey
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?
Yes this is the iterative scheme i have to apply. But currently everything is steady state. The final problem has to be unsteady as then phase change effect will be seen evolving with time.
r.
PS: By the way I recieved a mail from the professor that he has caught viral fever due to changing weather so he would not be able to meet me this week. I also caught fever yesterday and i just got out of bed a few minutes back so couldn't reply to the thread earlier.