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Orr-Sommerfield solver

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Old   August 28, 2000, 07:41
Default Orr-Sommerfield solver
  #1
S.Selvarajan
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Hi

Does anyone know of a Orr-Sommerfield solver using symbolic manipulation?

Selvarajan
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Old   August 29, 2000, 11:44
Default Re: Orr-Sommerfield solver
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Chidu
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Hi,

You mean that you are looking for a closed-form analytical solution? I doubt if it exists, but would be interested in it too. Right now, I have discretized the equation with higher-order finite differences to solve the problem (discrete eigenvalue problem).

regs, chidu...
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Old   August 29, 2000, 23:26
Default Re: Orr-Sommerfield solver
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selvarajan
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Hi,

Pseudo-spectral collocation method gives best results for the discrete eigenvalue problems. You may find relative advantages of following this approach from Orzag's JFM paper (1972).

Regards, Selvarajan
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Old   August 30, 2000, 06:09
Default Re: Orr-Sommerfield solver
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Chidu
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Hi Selvarajan,

Yeah, I knew that, but since FD needed no preparation I just coded it up. It seems to work quite well! I think only if you want eigenvalues upto 10 decimal accuracy, or very high Reynolds numbers will FD be a problem.

regards, chidu...
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Old   August 31, 2000, 10:54
Default Re: Orr-Sommerfield solver
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Selvarajan
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Hi,

Does anyone know the best approach to solution for linear secondary instability problems?

Selvarajan.
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