Influence of the No-Slip Boundary Condition on the Prediction of Drag, Lift, and Heat Transfer Coefficients in the Flow Past a 2-D Cylinder

The influence of the no-slip boundary condition on the numerical simulation of two-dimensional incompressible flow past a circular cylinder is investigated using a ω-ψformulation code. Three explicit formulations to compute vorticity at the wall are compared: I is based on the Woods equation, II uses the definition of ω and a central difference scheme, and III is similar to II but uses a forward difference scheme. Numerical experiments were carried out at Re = 60, 100, and 200 with Pr = 0.7. Results obtained are in good agreement with the literature and show that formulation III consumes less CPU time.