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Consider the general discretized equation given by aP ΦP+∑F~NB(P)aF ΦF = 0. According to the zero sum rule, which of these is correct?(a) aP+∑F~NB(P)aF = ∞(b) aP+∑F~NB(P)aF = 0(c) aP+∑F~NB(P)aF = 1(d) aP+∑F~NB(P)aF = -1The question was posed to me in final exam.This intriguing question comes from Diffusion Problem in portion Diffusion Problem of Computational Fluid Dynamics

Answer»

The correct choice is (B) aP+∑F~NB(P)aF = 0

The EXPLANATION is: A consistent discretization METHOD should YIELD an equation which incorporates the PROPERTY of the overall domain – conservation. To ensure this, the equation should satisfy the condition aP+∑F~NB(P)aF = 0.



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