Question

What are the normalized values of the variables Φd (downwind) and Φu (far upwind)?

(a) 1 and 0

(b) 0 and ∞

(c) 1 and ∞

(d) 0 and 1

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

The query is from High Resolution Schemes topic in portion High Resolution Schemes of Computational Fluid Dynamics

Answer 1

Correct option is (a) 1 and 0

Easiest explanation: From the normalization formula,

\(\tilde{\phi_d}=\frac{\phi_d-\phi_u}{\phi_d-\phi_u}=1\).

\(\tilde{\phi_u}=\frac{\phi_u-\phi_u}{\phi_d-\phi_u}=0\).