Hi Kavitha,
I understand that you want to plot the normalized eigenfunction and its argument for the Orr-Sommerfeld equation, as well as its epsilon pseudospectra. Here's a basic approach using MATLAB:
1. Solve the Orr-Sommerfeld equation:
- Use appropriate boundary conditions and discretization to solve for eigenvalues and eigenfunctions.
2. Normalize the eigenfunction:
- Normalize the eigenfunction by dividing by its maximum value.
3. Plot the normalized eigenfunction:
- Plot the real and imaginary parts against the argument.
4. Compute and plot epsilon pseudospectra:
- Use the "eig" function and numerical techniques to compute and visualize the pseudospectra.
Refer to the following MathWorks documentation for more information on:
- Eigenvalues and Eigenvectors in MATLAB: https://www.mathworks.com/help/matlab/ref/eig.html
- Plotting 2D and 3D data in MATLAB: https://www.mathworks.com/help/matlab/ref/plot.html
- Pseudospectrum using eigenvector method in MATLAB: https://www.mathworks.com/help/signal/ref/peig.html
Hope this helps.
Regards,
Nipun
