1.

Consider the stencil. Assume a uniform grid. Using the QUICK scheme, what is the convective flux at the western face \(\dot{m_w} \phi_w\) equal to?

A. \((\frac{3}{4} \phi_P-\frac{1}{8} \phi_W+\frac{3}{8} \phi_E)×max⁡(\dot{m_w},0)-(\frac{3}{4} \phi_W-\frac{1}{8} \phi_{WW}+\frac{3}{8}\phi_C)×max⁡(-\dot{m_w},0) \)
B. \((\frac{3}{4} \phi_P+\frac{1}{8} \phi_W+\frac{3}{8} \phi_E)×max⁡(\dot{m_w},0)-(\frac{3}{4} \phi_W+\frac{1}{8} \phi_{WW}+\frac{3}{8} \phi_C)×max⁡(-\dot{m_w},0)\)
C. \((\frac{3}{4} \phi_P-\frac{1}{8} \phi_W-\frac{3}{8} \phi_E)×max⁡(\dot{m_w},0)-(\frac{3}{4} \phi_W-\frac{1}{8} \phi_{WW}-\frac{3}{8} \phi_C)×max⁡(-\dot{m_w},0)\)
D. \((\frac{3}{4} \phi_P+\frac{1}{8} \phi_W-\frac{3}{8} \phi_E)×max⁡(\dot{m_w},0)-(\frac{3}{4} \phi_W+\frac{1}{8} \phi_{WW}-\frac{3}{8} \phi_C)×max⁡(-\dot{m_w},0)\)
Answer» B. \((\frac{3}{4} \phi_P+\frac{1}{8} \phi_W+\frac{3}{8} \phi_E)×max⁡(\dot{m_w},0)-(\frac{3}{4} \phi_W+\frac{1}{8} \phi_{WW}+\frac{3}{8} \phi_C)×max⁡(-\dot{m_w},0)\)


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