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Implicit density pressure relation

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Old   April 19, 2008, 05:15
Default Good Morning everyone, i wo
Christian Winkler
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Good Morning everyone,

i would like to add a new density pressure relation to a compressible solver (low Ma-Number, isothermal, laminar Flow). It looks like:

rho = p * 1/(A + Bp) // A and B are constants

all compressible solvers in OF use a linear relation for compressibility (unless i missed something).

-> psi = drho/dp
With this, my psi would be a function of p, which is not allowed in the pressure equation.

Does anyone out there managed to solve a similar problem or could give me some hints about literature for this kind of pressure equations?

Thanks and best regards
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Old   April 23, 2008, 23:30
Default Christian, How about recalcul
David P. Schmidt
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How about recalculating psi every PISO iteration using the latest available pressure? Psi would be slightly lagged, but if B is not too large, I think it would work.
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