Advection on 2D nonuniform triangular mesh
I have a basic question that I hoped someone could answer. I'm very much a newbie, so apologies if the question is poorly posed.
I have been given files that define a 2D nonuniform triangular mesh and the velocity field over that domain (i.e., at the nodes). I simply want to simulate the introduction of an inert tracer into that the domain and its subsequent transport. So, if the concentration of the tracer is , then the governing PDE I'd have would be something along the lines of
where and are defined by my velocity field. My question then is, what is the best approach to adopt in solving the PDE given the nonuniform nature of the grid? FEM, FVM, or FDM?
Any advice would be greatly appreciated!
Both FVM and FEM will work for unstructured grids. I would go with FVM for this problem, but this is up to you.
I was going to say that both FVM and FEM are suitable but this quote
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