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Roe approximation for stiffed gas equation of state |
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September 29, 2020, 10:02 |
Roe approximation for stiffed gas equation of state
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Good day,
I want to implement Euler equations finite volume scheme for compressible nonlinear liquid based on stiffed gas equation of state (EOS) of the form: where, P - pressure, - ratio of specific heats, e - internal energy, - density, - stiffness parameter. I would like to use Roe approximate Riemann solver, the same way as discussed in the original Roe's paper. For it, I first need to calculate the Jacobian for Euler system. However, it seems that the Jacobian has the same form as for ideal gas EOS. Does this mean that I can use the same approach for stiffed gas EOS as for ideal gas EOS (same wave strength, right eigenvectors), with the only difference that Roe averages of speed of sound and enthalpy for stiffed gas EOS will be a bit different? Thank you in advance! |
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