i think it's just considered a bevel? you could create it by doing a bevel on the edge and then merge the ends. If some parts have to be slightly concave or at a specific angle you can adjust edges/verts manually or use a boolean. Is the name important because you were wanting to find the right tool to help make it?
I have the idea in my head but I'm completely helpless in finding the right words to explain to my designer/manufacturer. Basically, I am looking to create a cut-in fillet with an even gradual angled slope at a concave side/edge. Please refer to my, hopefully clear, hand sketch design below. The snapshot below sort of…