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For a regular structured grid, which of these statements is true?

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For a regular structured grid, which of these statements is true?

(a) Each interior cell is connected to the same number of neighbours

(b) Each cell is connected to the same number of neighbours

(c) Each boundary cell is connected to the same number of neighbours as an interior cell

(d) Each direction has the same number of cells

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Asked question is from FVM in chapter Finite Volume Methods of Computational Fluid Dynamics

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Correct choice is (a) Each interior cell is connected to the same number of neighbours

Easiest explanation: The boundary cells will have less number of neighbours when compared to the interior cells. As the statement telling “Each cell” includes the boundary cells also, it does not hold true. It is not necessary for the structured grids to have the same number of cells in every direction. So, the statement “Each interior cell is connected to the same number of neighbours” is only true.

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