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Consider a 2-D finite volume problem. A vertex-centred arrangement is created by connecting the centroids of the elements sharing the vertex. What is the problem that may arise because of this arrangement?

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Consider a 2-D finite volume problem. A vertex-centred arrangement is created by connecting the centroids of the elements sharing the vertex. What is the problem that may arise because of this arrangement?

(a) Unstructured elements

(b) Conjunctional elements

(c) Orthogonal elements

(d) Overlapping elements

The question was asked in examination.

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

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Right choice is (d) Overlapping elements

Easy explanation: The above-mentioned method is a method of creating the vertex-centred arrangement. As mentioned, elements are created by joining the centroids of the surrounding elements. This way, the lines connecting the centroids may overlap and result in overlapping elements.

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