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coordinate transformation and flux splitting

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Old   December 22, 2006, 07:56
Default coordinate transformation and flux splitting
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Hi,

I am relatively new to CFD. Till now, I have been working on cartesian grids. But, now I am extending it to generalized coordinates. Though the flux calculations are striaght forward with the transformations, I am a bit confused with the identification of wavespeeds and relevant information required for flux splitting. In short, when I transform a equation

dU/dT + dF/dX + dG/dY = Q

to

dU*/dT + dF*/dEps + dG*/dGamma = Q

how do I calculate wave speeds for F* and G*? Should I calculate the eigen values for the transformed equation?

Thanks in advance for your help.
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Old   December 22, 2006, 14:33
Default Re: coordinate transformation and flux splitting
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Compute the eigenvalues of the flux Jacobians.
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Old   December 22, 2006, 23:33
Default Re: coordinate transformation and flux splitting
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So, it is the eigen value of the transformed flux jacobian. The corresponding wavespeeds will be used to formulate the scheme in the computational space. Please correct me if I am wrong.
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