I got a project in a class I'm taking. In this project, I need to solve fluid dynamics and heat equations.
Up to here, the problem is not so complicated, however the chamber shape is the problem:

as you can see, FE and JA makes this shape non rectangular. Since I want to keep the grid relatively simple, I though about creating a grid with "stairs" in those edges, that will look like that:

I can quite easily calculate the area lost and use it as a measurement for the solution quality (let's say that I can allow 0.5% or less area loss).
Is it a good solution, or is there any better methods, assuming that I want to keep the grid relatively simple?
Thanks!