Hi

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

Selvarajan

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...

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

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...

Hi,

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

Selvarajan.