1.

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


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