Question

In the vertex-based stencil, the flow variable at the face centroid is computed as ___________

(a) the mean of the values at the vertices defining the surface

(b) the mean of the values at the cell centres

(c) the mean of the values at the vertices of the cells

(d) the mean of the values at the centroids of the neighbouring faces

The question was asked in an online quiz.

My doubt is from Diffusion Problem in division Diffusion Problem of Computational Fluid Dynamics

Answer 1

Correct option is (a) the mean of the values at the vertices defining the surface

Explanation: In the enlarged stencil, the value Φf is calculated as the mean of the values at the vertices defining the surface. Mathematically representing it,

Φf=\(\frac{\phi_{n1}+\phi_{n2}}{2}\).