analytical solution of 1D shock tube problem
Does anyone know the source for or have the analytical solution of a 1D shock tube problem?
I think every CFD+compressible researcher should have such an analytical solution in hand, in order to validate his/her codes. I hope someone can share it. (Everybody may be too lazy to derive it in person during this informationsharing era) Thanks. 
Re: analytical solution of 1D shock tube problem
If you can find a copy:
Harlow, Francis H. and Anthony A. Amsden, Fluid Dynamics, Los Alamos National Laboratory monograph LA4700, June, 1971. Frank Harlow is, I believe, still active at Los Alamos. Try http://gnarly.lanl.gov/Home.html Some of the texts written by Shapiro will have shock solutions as well. But they'll likely be out of print. 
Re: analytical solution of 1D shock tube problem

Re: analytical solution of 1D shock tube problem
Try the sections on Gas dynamics (more precisely 6.13) of Gerald Whitham's book "Linear and nonlinear waves"

Re: analytical solution of 1D shock tube problem
Sod, G. A. 1978, Journal of Computational Physics, 27, 131.

Re: analytical solution of 1D shock tube problem
You can find the exact Riemann solver taken from Toro here. Also take the input file.

Re: analytical solution of 1D shock tube problem
Thanks a lot for all of your valuable information about the 1D shock tube analytical results, especially Praveen who posted the solver.
ma 
I know this thread is pretty old, but I was wondering if anyone has an updated link to the exact solution to the shocktube problem? Thanks!!

Quote:
If so, please let me know so I can send you my email adresse (If that is Ok for you). Cheers. 
Analytical solution (matlab):
http://www.mathworks.com/matlabcentr...shocktubezip The analytical solution requires iterations. That's why there's not an explicit function. Source: http://www.phys.lsu.edu/~tohline/PHYS7412/sod.html 
The same thing I wrote in python:
https://gitlab.com/fantaz/Riemann_exact/wikis/home which is based on the fortran code found below http://cococubed.asu.edu/code_pages/exact_riemann.shtml 
All times are GMT 4. The time now is 07:28. 