Hello

I would want to know the solution procedure or algorithm to solve a 1D Compressible Flow NS Eqn of the form :

df/dt + d(fu)/dx=0

and

d(fu)/dt+d(fu*u)/dx=-dp/dx

given f,u,p at x=0,t=0 and p given at x=L and hence to solve for f,u,p

It was easy to find algo. for Incompressible flows, how about for the above equations. If you can direct me to papers or sample Codes for solving this I would greatly appreciate your help.

Thanks

CFDtoy

It appears that f is density.

You need an equation of state (EOS) relating f and p. If the EOS involves the temperature (or, alternatively, the internal energy), you'll need to include the energy conservation equation. That'll have to be solved with the others.

The viscous stress term on the RHS of the second equation is missing. Was that intentional?

There are a lot of algorithms for attacking this equation set. The Journal of Computational Physics might be a good place to start.