Question

What is DWFf for the second-order upwind scheme?

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

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

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

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

I had been asked this question by my school teacher while I was bunking the class.

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

Answer 1

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

To explain: For the second order upwind scheme,

\(\tilde{\phi_f}=\frac{3}{2} \tilde{\phi_c}\)

Therefore,

DWFf=\(\frac{\frac{3}{2}\tilde{\phi_c}-\tilde{\phi_c}}{1-\tilde{\phi_c}}\)

DWFf=\(\frac{\tilde{\phi_c}}{2(1-\tilde{\phi_c})}\).