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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-centroidsThe 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

Answer»

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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