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Which of these is needed for a vertex-centred arrangement and not for cell-centred elements?

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Which of these is needed for a vertex-centred arrangement and not for cell-centred elements?

(a) Pre-defined shape functions

(b) Face-centroids

(c) Edge-centroids

(d) Cell-centroids

The question was posed to me by my college director while I was bunking the class.

Question is taken from Variable Arrangement in FVM in section Finite Volume Methods of Computational Fluid Dynamics

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The correct answer is (a) Pre-defined shape functions

For explanation: Cell-centroids are must for cell-centred arrangements as they are the grid points here. Face-centroids and edge-centroids are also needed here during numerical integration. Pre-defined shape functions are not needed as they use general polygonal elements.

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