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If the pressure force is not treated as a surface force in the finite volume method, what will happen?

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If the pressure force is not treated as a surface force in the finite volume method, what will happen?

(a) Non-conservative error

(b) Stability issues

(c) Boundedness problems

(d) Convergence issues

I had been asked this question in an interview for internship.

Enquiry is from Incompressible Flows in division Incompressible Flows & Compressible Flows of Computational Fluid Dynamics

1 Answer

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Correct choice is (a) Non-conservative error

For explanation: Without using the Gauss-Divergence theorem, the pressure force can be treated as a volume integral itself. But, this will lead to a non-conservative form of equations which, in turn, will result in non-conservative errors.

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