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The centroid of the faces of a 3-D element is obtained by _________(a) Area-weighted average of the sub-elements(b) Average of the sub-elements(c) Area-weighted average of the centroid of the sub-elements(d) Volume-weighted average of the centroid of the sub-elementsThe question was asked in an online interview.I would like to ask this question from The Geometry of FVM Elements topic in division Finite Volume Methods of Computational Fluid Dynamics

Answer»

The correct choice is (c) Area-weighted average of the CENTROID of the sub-elements

Easiest EXPLANATION: The centroid of each of the sub-elements are first LOCATED. The weighted average of these centroids is the centroid of the whole face. Areas of the TRIANGLES are USED as the weight for this average.



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