Construction of a Flow-Simulating Method with Finite Volume Based on a Voronoi Diagram

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In flow simulations performed with the finite difference method or the finite volume method, it is a serious limitation that the calculating points must be ordered on the coordinates. Using the Voronoi diagram for the cell division of the finite volume method creates a new discretization form which permits an arbitrary distribution of points. This paper constructs a new method for the flow simulations by a Voronoi diagram and shows the calculation results of two-dimensional flows.

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