For example: While solving a 3-phase fluid flow equation, can we use the finite difference for the mathematical model and finite volume for the physical model.
I did not get you. As fast as I know, the procedure is to have a mathematical model to describe a physical process (or model in vague terms). And then one chooses appropriate numerical scheme to solve the mathematical model which is often a form of the differential equation. FDM, FEM, FVM are then picked based on the needs of the problem and one's own choice of expertise!
Thank you for your response Vikash.
What concerns me is that how can we have different methods to solve a mathematical model and physical model for the same reservoir?
I did not get you. As fast as I know, the procedure is to have a mathematical model to describe a physical process (or model in vague terms). And then one chooses appropriate numerical scheme to solve the mathematical model which is often a form of the differential equation. FDM, FEM, FVM are then picked based on the needs of the problem and one's own choice of expertise!
Just use the same approach for the two methods so that you compare apple with apple
You can use any combination of methods. But the result should be sustainable and should be convergence of algorithm.
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