conatus.problems.plane_couette_evp¶
- conatus.problems.plane_couette_evp(*, N, Re, alpha)[source]¶
Orr–Sommerfeld EVP of plane Couette flow U = y (2D modes), same form as
channel_evp()(U’’ = 0): eigenvalue c, v = v’ = 0 at y = -1, +1, Re = U_w h / nu.Validation reference: linearly stable for all Re (Romanov 1973): every converged eigenvalue has Im c < 0, and the spectrum is symmetric under c -> -conj(c) (the reflection y -> -y, x -> -x). No tabulated digit is reproduced (tests/problems/test_problems_shear.py).
- Parameters:
N (int)
Re (float)
alpha (float)
- Return type: