Question

When can we say that a problem is suitable to be solved using CFD?

(a) The PDE has no solution

(b) The solution to PDE is unique and it depends continuously on the initial and boundary conditions

(c) The PDE has more than one solution

(d) The solution to PDE is unique and independent of the initial and boundary conditions

I have been asked this question during an interview.

My question is based upon Mathematical Behaviour of PDE in section Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

Answer 1

The correct choice is (b) The solution to PDE is unique and it depends continuously on the initial and boundary conditions

Easy explanation: We say a problem to be well suited for CFD when the partial differential equation representing the problem has a unique solution and that solution depends on the specified initial and boundary conditions.