Consider the following stencil. For steady two-dimensional convection-diffusion problem, if the general discretized equation is aP φP=aW φW+aE φE+aS φS+aN φN, what is aN using the hybrid differencing scheme?(Note: ϕ, a, F and D are the flow variable, coefficients, convective mass flux per unit area and diffusion conductance respectively).

Question

TuteeHUB · Accepted Answer

max⁡(Fn,(Dn+$\frac{F_n}{2}$),0)

TuteeHUB · Answer

max⁡(Fn,(Dn–$\frac{F_n}{2}$),0)

TuteeHUB · Answer

max⁡(-Fn,(Dn+$\frac{F_n}{2}$),0)

TuteeHUB · Answer

max⁡(-Fn,(Dn–$\frac{F_n}{2}$),0)

TuteeHUB · Answer

max⁡(Fn,(Dn+$\frac{F_n}{2}$),0)

1.	Consider the following stencil. For steady two-dimensional convection-diffusion problem, if the general discretized equation is aP φP=aW φW+aE φE+aS φS+aN φN, what is aN using the hybrid differencing scheme?(Note: ϕ, a, F and D are the flow variable, coefficients, convective mass flux per unit area and diffusion conductance respectively).
A.	max⁡(Fn,(Dn–\(\frac{F_n}{2}\)),0)
B.	max⁡(-Fn,(Dn+\(\frac{F_n}{2}\)),0)
C.	max⁡(-Fn,(Dn–\(\frac{F_n}{2}\)),0)
D.	max⁡(Fn,(Dn+\(\frac{F_n}{2}\)),0)
Answer» D. max⁡(Fn,(Dn+\(\frac{F_n}{2}\)),0)

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