miniufo / xinvert

Invert geophysical fluid dynamic problems (elliptic partial differential equations) using SOR iteration method.
https://xinvert.readthedocs.io/
MIT License
43 stars 16 forks source link

add a vertical mode decomposition case #26

Closed miniufo closed 1 year ago

miniufo commented 1 year ago

Vertical mode decomposition (VMD) is a common way to analyze the vertical structure of many phenomena. Generally, given a vertical profiles of $N^2$ at a single point, it is able to project any variable onto a series of vertical modes determined by $N^2$. It should be 1D problem along the z coordinate.

miniufo commented 1 year ago

This is not a steady-state problem but a eigenvalue problem. So this does not fit the solver.