This question is essentially an applied mathematics version of Which are the best mathematics journals, and what are the differences between them?

Unfortunately, unlike the above question I was not able to find out so far what is the community consensus on top journals in applied mathematics *(with statistics excluded -- it is a world of its own)*, and the question on top specialized journals also leaves the applied mathematics as a whole untouched. The problem is further exacerbated by the fact that while in principle many top generalist math journals declare willingness to publish applied mathematics papers, the fact is that such papers are published there only exceptionally, hence my question.

To make things clear let me reiterate that I would like to understand what is the *community consensus* (if any) on what are the top applied mathematics journals rather than being shown various numerical rankings (like, say, those based on the impact factor) of which I am quite aware.