I am familiar with the basic concept of the Helmholtz decomposition and I have read a number of materials on it (they all follow structure similar to that on Wikipedia page).
However, I am not able to find one single example of taking some simple vector field and actually showing how it is decomposed according to the Helmholtz decomposition.
Does anyone know some link with some simple (or more complicated) examples or if it is actually trivial to do could someone show an example here? For example some simple vector field in 2D?
Thank you! :)