1.

Consider the stencil. Assume a uniform grid. What is φe according to the second-order upwind scheme?(Note: φ is the flow variable).

A. \(\phi_e=\frac{\phi_P-\phi_W}{2}\)
B. \(\phi_e=\frac{\phi_P+\phi_W}{2}\)
C. \(\phi_e=\frac{3}{2}\phi_P-\frac{1}{2}\phi_W\)
D. \(\phi_e=\frac{3}{2}\phi_P+\frac{1}{2}\phi_W\)
E. .a) \(\phi_e=\frac{\phi_P-\phi_W}{2}\) b) \(\phi_e=\frac{\phi_P+\phi_W}{2}\) c) \(\phi_e=\frac{3}{2}\phi_P-\frac{1}{2}\phi_W\) d) \(\phi_e=\frac{3}{2}\phi_P+\frac{1}{2}\phi_W\)
Answer» D. \(\phi_e=\frac{3}{2}\phi_P+\frac{1}{2}\phi_W\)


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