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Consider a 3-D problem. Non-overlapping elements can be created by joining __________

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Consider a 3-D problem. Non-overlapping elements can be created by joining __________

(a) face-centroids and edge-centroids

(b) cell-centroids and edge -centroids

(c) cell-centroids, face-centroids and edge-centroids

(d) cell-centroids and face-centroids

This question was posed to me at a job interview.

This interesting question is from Variable Arrangement in FVM in section Finite Volume Methods of Computational Fluid Dynamics

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Right option is (c) cell-centroids, face-centroids and edge-centroids

Explanation: To overcome the problem of overlapping elements, in two-dimensional problem, the cell-centroids and the face-centroids are connected. Extending this to a three-dimensional problem, cell-centroids, face-centroids and edge-centroids are connected. Therefore, ensuring that the connecting lines do not overlap.

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