[oglcngcmn]

Hey experts,

I have to write a code for shock tube problem with one of the finite element method. However, I do not have much knowledge about shock tube problem. So, I do not know what to write. Where can I find anything about that topic?

Thank you,

[agd]

Perhaps

https://en.wikipedia.org/wiki/Sod_shock_tube

[oglcngcmn]

Originally Posted by agd

Perhaps

https://en.wikipedia.org/wiki/Sod_shock_tube

How can I combine those equations with numerical methods?

[agd]

If you want to numerically simulate a shock tube using CFD then you will need to read up on schemes for solving the compressible Euler equations or Navier-Stokes equations. I understood your original post to mean that you had a solver and were seeking information on the shock tube problem.

[oglcngcmn]

Thank you very much,

Actually I found a sample code in here:
http://www3.nd.edu/~gtryggva/CFD-Cou...Lecture-14.pdf

There are some equations they are used. However, I could not understand which equations are used in numerical solution. I could not understand the code.

[FMDenaro]

see here:

http://oai.cwi.nl/oai/asset/10964/10964D.pdf

[oglcngcmn]

Originally Posted by FMDenaro

see here:

http://oai.cwi.nl/oai/asset/10964/10964D.pdf

I will have one more question. I solved with numerically and wrote the code. However, I cannot decide dt value ?

How should I calculate that value ?

[naffrancois]

you can find the answer to your question about dt in section 3.3.2. of the above document FMDenaro sent you. I strongly advise you reading CFD text books before taking available codes as black boxes. These include for example:

- Leveque: Finite volume methods for hyperbolic problems
- Toro: Riemann solvers and numerical methods for fluid dynamics
- Blazek: Computational fluid dynamics, principles and applications

All the above books treat the Euler equations, analysis and discretization techniques with applications to 1d shock tubes

[LUQILIN]

You can refer to the text books of Anderson.J.D.'s: Fundamentals of aerodynamics. For 1D shock nozzle problem, there exists a unique exact solution. You can find the exact solution first and compare it with your numerical solution. It is a good practice for beginners.
For numerically solving shock tube problem, my suggestion is to begin with finite difference or finite volume scheme. It is much easier to implement than finite element method.
Any language is suitable, C, C++, python or matlab, etc.

[oglcngcmn]

Originally Posted by LUQILIN

You can refer to the text books of Anderson.J.D.'s: Fundamentals of aerodynamics. For 1D shock nozzle problem, there exists a unique exact solution. You can find the exact solution first and compare it with your numerical solution. It is a good practice for beginners.
For numerically solving shock tube problem, my suggestion is to begin with finite difference or finite volume scheme. It is much easier to implement than finite element method.
Any language is suitable, C, C++, python or matlab, etc.

I have solved FTCS, FTBS and lax-wendroff method. Now, I will try to add artificial viscosity if I can..

Thank you for helping.. I will look at it.

[javeria]

can u share your codes please