Find the normalized functional relationship between φf and φC for a uniform grid while using the second-order upwind scheme?
(a) \(\tilde{\phi_f}=\frac{1}{2}\tilde{\phi_C}\)
(b) \(\tilde{\phi_f}=-\frac{1}{2}\tilde{\phi_C}\)
(c) \(\tilde{\phi_f}=\frac{3}{2}\tilde{\phi_C}\)
(d) \(\tilde{\phi_f}=-\frac{3}{2}\tilde{\phi_C}\)
I had been asked this question in final exam.
Asked question is from Convection-Diffusion Problems topic in section Convection-Diffusion Problems of Computational Fluid Dynamics