Question

DWFf for the FROMM scheme is ___________

(a) \(\frac{1}{2(1-\tilde{\phi_c})}\)

(b) \(\frac{1}{4(1-\tilde{\phi_c})}\)

(c) \(\frac{1}{2}\)

(d) \(\frac{1}{4}\)

This question was posed to me in homework.

I'd like to ask this question from High Resolution Schemes in division High Resolution Schemes of Computational Fluid Dynamics

Answer 1

Correct option is (b) \(\frac{1}{4(1-\tilde{\phi_c})}\)

The explanation is: For FROMM scheme,

\(\tilde{\phi_f}=\tilde{\phi_c}+\frac{1}{4}\)

Therefore,

DWFf=\(\frac{(\tilde{\phi_c}+1/4)-\tilde{\phi_c}}{1-\tilde{\phi_c}}\)

DWFf=\(\frac{1}{4(1-\tilde{\phi_c})}.\)