Question

For integrating the source term, if the value is approximated using the mean value theorem, the value at the _____________ is used.

(a) face centre

(b) cell centre

(c) boundary face

(d) vertex

I had been asked this question by my college professor while I was bunking the class.

This intriguing question comes from Finite Volume Methods topic in portion Finite Volume Methods of Computational Fluid Dynamics

Answer 1

The correct answer is (b) cell centre

To explain I would say: Source term integral is a volume integral. Approximating the volume integral, the value at the centre of the cell and the volume of the cell are multiplied. So, the value at the cell centre is used.