23. Finite-volume methods for polyhedral grids
Автор: Milovan Peric
Загружено: 2024-11-19
Просмотров: 323
Most commercial and public CFD codes are based on finite-volume methods and can use grids made of arbitrary polyhedral control volumes. We describe in this lecture the data structure for such grids, how a polyhedral control volume is defined, and how are surface vectors, face and cell centroids computed.
The next topics are approximations of surface integrals for convection and diffusion fluxes, and interpolation methods to compute variable values at face centers. Gradients of variables are used in many terms, and we describe two widely used methods for computing gradients at cell centers. Derivatives of variables at cell-face centers in the direction normal to cell face, which are needed to compute diffusion fluxes, can be conveniently computed using auxiliary points on the line normal to cell face and passing through its centroid.
Approximation of volume integrals is the next topic, followed by the treatment of non-conformal grid interfaces. Finally, the derivation of a pressure-correction equation for polyhedral control volumes is described.
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