eigenmatricesForWavenumber

Assemble the fixed-\(K\) generalized EVP on the spectral grid.

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Declaration

 [A,B] = eigenmatricesForWavenumber(self,k)

Parameters

• self InternalModesSpectral instance
• k horizontal wavenumber

Returns

• A left generalized-eigenproblem matrix
• B right generalized-eigenproblem matrix

Discussion

          The eigenvalue equation is,   G_{zz} - K^2 G = \frac{f_0^2 -N^2}{gh_j}G   A = \frac{g}{f_0^2 -N^2} \left( \partial_{zz} - K^2*I \right)   B = I