Computation of the Two-Dimensional Viscous Flow around a Wing Section in Cascade with Composite Grid Method

Abstract

Recently, the application of CFD (Computational Fluid Dynamics) method to the incompressible viscous flow problem has been developed remarkably. Nevertherless, difficulties of grid generation has restricted so far the application of CFD method to the problems with geometrically simple flow regions. In order to overcome such difficulties, present study shows computations of the two-dimensional incompressible viscous flow with composite grid method, by which a grid system around a geometrically complicated shape of body such as a practical hull form or a marine propeller can be generated easily and effectively. Composite grid scheme is based on cell-centered, finite-volume, upwind scheme with global conservation property, which was developed by one of the authors. The zonal boundary condition is derived from momentum and mass flux conservation law and introduced into this scheme. To evaluate the robustness and accuracy of composite grid scheme, computations of the low Reynolds number flow around a two-dimensional circular cylinder are made for 7 cases with varing the location of the zonal boundary and discontinuity condition of a grid system. Finally, computations of the two-dimensional laminar flow around a wing section in cascade are made to show the applicability of the present method to the problem with geometrically complicated flow region.