Application of graphic processors for the numerical simulation of viscous incompressible fluid flows in domains of complex geometry by the immersed boundary method

An application of graphic processors for the numerical simulation of viscous incompressible fluid flows in domains of complex geometry is considered. The immersed boundary method is used to describe the curvilinear geometry on rectangular grids. In order to estimate the efficiency of numerical methods on the graphic processor architecture, the flows around a circular cylinder and a group of cylinders are simulated. As an example of a problem with moving boundaries, a flow past an oscillating circular cylinder is solved numerically.