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Non-perfect gas

In this case we have to work with the left eigenvectors  29. This changes the characteristic tex2html_wrap_inline2370 , tex2html_wrap_inline2366 , and tex2html_wrap_inline2372 :   tex2html_wrap2436

We can now solve for the z-derivatives of the primitive variables

eqnarray1856

using the thermodynamic identity

displaymath1880

these simplify to

eqnarray1882

We may write the required themodynamic derivatives in terms of the internal energy per unit mass tex2html_wrap_inline2434 as

eqnarray1901

Finally, by using the expression,

displaymath1908

we can write the equations for the quasi-conserved variables using the same technique as in section 3.2:

  tex2html_wrap2438


Viggo Hansteen
Wed Sep 19 18:16:24 MET DST 2001