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Which of these points form the apex of the sub-elements of the faces?

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Which of these points form the apex of the sub-elements of the faces?

(a) Centre of mass of the face

(b) Vertex of the face

(c) Geometric centre of the face

(d) Apex of the face

I got this question during an interview.

Question is taken from The Geometry of FVM Elements in portion Finite Volume Methods of Computational Fluid Dynamics

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The correct option is (c) Geometric centre of the face

Easiest explanation: The sub-elements are all triangular in shape. The apex of these triangles are all the same point. The geometric centre of the face is chosen as the apex of the triangles. The geometric centre is not the centroid of the polygon.

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