Question

In the orthogonal correction approach, the relationship between \(\vec{E_f}\, and\, \vec{S_f}\) is ________

(a) \(\vec{E_f}=\vec{S_f}×\vec{e}\)

(b) \(\vec{E_f}=S_f cos⁡\theta\vec{e}\)

(c) \(\vec{E_f}=S_f\vec{e}\)

(d) \(\vec{E_f}=\vec{S_f}.\vec{e}\)

This question was posed to me in homework.

This intriguing question comes from Diffusion Problem in portion Diffusion Problem of Computational Fluid Dynamics

Answer 1

Correct answer is (c) \(\vec{E_f}=S_f\vec{e}\)

For explanation I would say: In this approach, the contribution of the term involving ΦF and ΦC are kept the same as that of the orthogonal mesh. This is achieved by the relation

\(\vec{E_f}=S_f \vec{e}\).