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Why a parabolic profile is not used to model the variation of Φ?

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Why a parabolic profile is not used to model the variation of Φ?

(a) Accuracy comes at the cost of computation

(b) Exact results

(c) Unphysical results

(d) Difficult to use

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The origin of the question is Diffusion Problem in portion Diffusion Problem of Computational Fluid Dynamics

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The correct answer is (c) Unphysical results

Explanation: Consider a parabolic (second-order) profile is used to find the value of a flow variable at the face in between two centroids. It will lead to a value higher or lower than the values at the centroids which will be unphysical.

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