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General Case: Realistic EOS

We use the quasi-conservative system of equations for the variables tex2html_wrap_inline2282 and tex2html_wrap_inline2284 (per unit volume):

Mass conservation:

  equation1246

Momentum conservation:

  equation1252

Energy conservation:

  equation1264

The primitive equations in the z-direction (z increases downward) for the variables, tex2html_wrap_inline2288 and tex2html_wrap_inline2284 (per unit volume) are:

  equation1274

  eqnarray1288

  equation1316

The transformation matrix between these two systems is

  equation1327

These equations are of the wave equation form,

displaymath1330

where the tex2html_wrap_inline2292 -matrix is

  equation1340





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