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The face-centred stencil is second-order _________

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in Computational Fluid Dynamics by (118k points)
The face-centred stencil is second-order _________

(a) always

(b) only when the centroid of the face and the line connecting the two cells meet

(c) only when the centroid of the face and the line connecting the two cells do not meet

(d) never

This question was posed to me in an online interview.

My question is based upon Diffusion Problem in chapter Diffusion Problem of Computational Fluid Dynamics

1 Answer

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Right option is (b) only when the centroid of the face and the line connecting the two cells meet

Explanation: The face-centred stencil is second-order accurate when the centroid of the face is the same as the point of intersection of the face and the line connecting the two cells. This happens when the centroid and the line connecting the two cells meet.

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