Application of the immersed boundary method for solving the system of Navier–Stokes equations in domains with complex geometry

Application of the immersed boundary method for solving the Navier–Stokes equations and its implementation are considered. The following problems are solved numerically: flow around a circular cylinder, flow over a backward facing step at a channel inlet, flow around two circular cylinders in tandem, and three-dimensional flow around a stationary sphere. The results thus obtained are compared with those obtained using curvilinear grids.