SUMMARYA solution methodology has been developed for incompressible ow in general curvilinear co-ordinates. Two staggered grids are used to discretize the physical domain. The ÿrst grid is a MAC quadrilateral mesh with pressure arranged at the centre and the Cartesian velocity components located at the middle of the sides of the mesh. The second grid is so displaced that its corners correspond to the centre of the ÿrst grid. In the second grid the pressure is placed at the corner of the ÿrst grid. The discretized mass and momentum conservation equations are derived on a control volume. The two pressure grid functions are coupled explicitly through the boundary conditions and implicitly through the velocity of the ÿeld. The introduction of these two grid functions avoids an averaging of pressure and velocity components when calculating terms that are generated in general curvilinear co-ordinates. The SIMPLE calculation procedure is extended to the present curvilinear co-ordinates with double grids. Application of the methodology is illustrated by calculation of well-known external and internal problems: viscous ow over a circular cylinder, with Reynolds numbers ranging from 10 to 40, and lid-driven ow in a cavity with inclined walls are examined. The numerical results are in close agreement with experimental results and other numerical data.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.