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. |
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. |
Re: analytical solution of 1D shock tube problem
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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"
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Re: analytical solution of 1D shock tube problem
Sod, G. A. 1978, Journal of Computational Physics, 27, 1-31.
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Re: analytical solution of 1D shock tube problem
You can find the exact Riemann solver taken from Toro here. Also take the input file.
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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!!
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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...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 |
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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