Numerical Analysis for Flows around an Infinitely Long Square Cylinder between Two Parallel Walls

Abstract

Numerical solutions of the Navier-Stokes equations for a Poiseuille flow past an infinitely long square cylinder between two parallel walls are presented in the range of intermediate Reynolds numbers. The main object is placed on selecting the best way to make difference equation for the vorticity at corners. In the case that a position of a body is unsymmetry, the stream function on the surface is decided by a condition that the pressure is single-value. This way has been first proposed by Matida et al. treating the same flow model. Our results for some properties are investigated in more detail with finer one than their mesh length. Especially, the extrapolation from each value obtained in the mesh length of 0.1, 0.05 and 0.025 are given for drag, Iift and moment, respectively. Lastly, the flow patterns of interest are given at R_e=20, 40.