Abstract
Boundary-fitted coordinate (BFC) method is useful for a complex geometry compared with the usual finite difference method (FDM), in which only rectangular grid can be used. Though many BFC methods have been proposed for incompressible flow, which often appears in nuclear power plants, the researches have not yet been converged at present. An algorithm in markerand-cell (MAC) method has been widely used in the usual FDM. In this study, therefore, we develop the MAC method to a BFC method. The governing equations are written by use of Riemann geometry, and new additional terms emerging in the equations are discussed. Contravariant physical components are employed as variables and compared with contravariant nonphysical components. We investigate the influence of the boundary-fitted grids in contrast to the rectangular grids using a natural convection problem in a cavity possessing a slant wall and curved backward-facing step flow. Computational storage and time for the BFC method are also investigated.
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