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analytical solution of 1D shock tube problem

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Old   December 3, 2004, 17:27
Default analytical solution of 1D shock tube problem
  #1
ma
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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.
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Old   December 3, 2004, 20:56
Default Re: analytical solution of 1D shock tube problem
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Jim_Park
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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.
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Old   December 6, 2004, 07:00
Default Re: analytical solution of 1D shock tube problem
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M. Barbaro
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http://www.eng.rpi.edu/mane/lightcraft/

Curriculum/Experimental/ShockTube/elements_1.html
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Old   December 6, 2004, 08:23
Default Re: analytical solution of 1D shock tube problem
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Tom
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Try the sections on Gas dynamics (more precisely 6.13) of Gerald Whitham's book "Linear and nonlinear waves"
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Old   December 6, 2004, 09:37
Default Re: analytical solution of 1D shock tube problem
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Bob
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Sod, G. A. 1978, Journal of Computational Physics, 27, 1-31.

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Old   December 6, 2004, 11:07
Default Re: analytical solution of 1D shock tube problem
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Praveen C
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You can find the exact Riemann solver taken from Toro here. Also take the input file.
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Old   December 6, 2004, 13:46
Default Re: analytical solution of 1D shock tube problem
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ma
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Thanks a lot for all of your valuable information about the 1D shock tube analytical results, especially Praveen who posted the solver.

-ma
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Old   March 17, 2013, 12:34
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Megan
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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!!
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Old   July 12, 2013, 11:34
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Quote:
Originally Posted by Spacegirl1923 View Post
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.
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Old   August 5, 2014, 20:04
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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
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