APPLICATION OF THE IMMERSED BOUNDARY METHOD TO SOLVING A SIMPLIFIED PROBLEM OF WIND ENERGY

The study of fluid flow around various surfaces is crucial in several applications of mechanical engineering, especially in cylindrical geometries of circular section, common in structures such as bridges, wind turbines, cooling systems, and power towers. In this work, we solve the two-dimensional mass conservation and Navier-Stokes equations in the x and y variables, neglecting gravitational effects, by applying the Fourier pseudospectral method coupled with the immersed boundary method. We define a domain with two cylindrical boundaries of diameter equal to 1 in a rectangular domain, with Reynolds Number (Re), Re=100. The results obtained are promising and closely match the existing literature reviews.