Hi my Dears,

I have seen in the literature the following phrase:

"The analytical solution of the shock tube is ..."

But being the Euler equations non-linear one, as one can derive this analytical solution?

Many thaks Ferreira

Dear Fereeira,

Yes, Euler equations are amenable to analytical solutions in certain special cases. In a general scenario, of the flow past a wing or any arbitrary configuration, this is not possible and hence the need for numerical methods. Flow problems governed by Euler equations and which have an anlytical solution are helpful in many ways, such as toi test order of accuracy (in terms of the global error). Two such cases besides the shock tube problem whcihc are govertned by Euler equations and have analytical solutions are the Ringleb flow and Supersonic Vortex case.

Hope this helps

Regards,

Ganesh

Hi Ganesh,

Thank you very much for you help. But I was thinkg only in the 1D case.

Ferreira

I think it's Riemann resolution. Check text books.