Question

Vertex-centred approach gives accurate solution for ___________ but not for _________

(a) diffusion term, convection term

(b) source term, convection term

(c) convection term, diffusion term

(d) convection term, source term

This question was posed to me by my college director while I was bunking the class.

The origin of the question is Variable Arrangement in FVM topic in division Finite Volume Methods of Computational Fluid Dynamics

Answer 1

Right option is (d) convection term, source term

The explanation: Vertex-centred arrangements give an accurate resolution of face fluxes (surface integrals) such as convection and diffusion terms. But, they yield a lower order of accuracy for element based integrations (source terms).