1.

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

A. \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_w)\)
B. \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_w)\) c) \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\) d) \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_
C. \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\)
D. \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\)
E. .a) \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_w)\) b) \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_w)\) c) \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\) d) \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\)
Answer» E. .a) \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_w)\) b) \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_w)\) c) \(\phi_e=\phi_P-\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\) d) \(\phi_e=\phi_P+\frac{\phi_P-\phi_W}{x_P-x_W}(x_e-x_c)\)


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