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ma December 3, 2004 17:27

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 information-sharing era)

Thanks.

Jim_Park December 3, 2004 20:56

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 LA-4700, 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.

M. Barbaro December 6, 2004 07:00

Re: analytical solution of 1D shock tube problem
 
http://www.eng.rpi.edu/mane/lightcraft/

Curriculum/Experimental/ShockTube/elements_1.html

Tom December 6, 2004 08:23

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"

Bob December 6, 2004 09:37

Re: analytical solution of 1D shock tube problem
 
Sod, G. A. 1978, Journal of Computational Physics, 27, 1-31.


Praveen C December 6, 2004 11:07

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

ma December 6, 2004 13:46

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

Spacegirl1923 March 17, 2013 11:34

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!!

Farouk July 12, 2013 10:34

Quote:

Originally Posted by Spacegirl1923 (Post 414502)
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!!

Hello Spacegirl....Did you manage to get the code and the development of the analytical solution?
If so, please let me know so I can send you my email adresse (If that is Ok for you).
Cheers.

Tony12 August 5, 2014 19:04

Analytical solution (matlab):

http://www.mathworks.com/matlabcentr...shock-tube-zip

The analytical solution requires iterations. That's why there's not an explicit function.


Source:

http://www.phys.lsu.edu/~tohline/PHYS7412/sod.html

fantaz May 11, 2015 05:20

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


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