Consider the stencil. Give the advection flux at face e $(\dot{m_e}\phi_E)$ using the upwind scheme.(Note: $\dot{m}$ and Φ are the mass flow rate and the flow variable respectively).

Question

TuteeHUB · Accepted Answer

$\dot{m_e}\phi_E=min⁡(\dot{m_e},0)\phi_C-max⁡(-\dot{m_e},0)\phi_E$

TuteeHUB · Answer

$\dot{m_e}\phi_E=max⁡(\dot{m_e},0)\phi_C-max⁡(-\dot{m_e},0)\phi_E$

TuteeHUB · Answer

$\dot{m_e}\phi_E=min⁡(\dot{m_e},0)\phi_C-max⁡(-\dot{m_e},0)\phi_E$

TuteeHUB · Answer

$\dot{m_e}\phi_E=max⁡(\dot{m_e},0)\phi_C-min⁡(-\dot{m_e},0)\phi_E$

TuteeHUB · Answer

$\dot{m_e}\phi_E=min⁡(\dot{m_e},0)\phi_C-min⁡(-\dot{m_e},0)\phi_E$

1.	Consider the stencil. Give the advection flux at face e \((\dot{m_e}\phi_E)\) using the upwind scheme.(Note: \(\dot{m}\) and Φ are the mass flow rate and the flow variable respectively).
A.	\(\dot{m_e}\phi_E=max⁡(\dot{m_e},0)\phi_C-max⁡(-\dot{m_e},0)\phi_E\)
B.	\(\dot{m_e}\phi_E=min⁡(\dot{m_e},0)\phi_C-max⁡(-\dot{m_e},0)\phi_E\)
C.	\(\dot{m_e}\phi_E=max⁡(\dot{m_e},0)\phi_C-min⁡(-\dot{m_e},0)\phi_E\)
D.	\(\dot{m_e}\phi_E=min⁡(\dot{m_e},0)\phi_C-min⁡(-\dot{m_e},0)\phi_E\)
Answer» B. \(\dot{m_e}\phi_E=min⁡(\dot{m_e},0)\phi_C-max⁡(-\dot{m_e},0)\phi_E\)

Consider the stencil. Give the advection flux at face e \((\dot{m_e}\phi_E)\) using the upwind scheme.(Note: \(\dot{m}\) and Φ are the mass flow rate and the flow variable respectively).

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