One of the main streams in the analysis and design of engineering equipment has been the application of computational fluid dynamics (CFD) methodologies. Despite the fact that experiments are important to study particular cases, numerical simulations of mathematical models allow more general analyses. While simple geometries can be handled by most CFD algorithms, most of the engineering devices have complex geometries, making their numerical analysis a difficult task, since the discretization of the governing equations of geometrically complex flows is still one of the main challenges in CFD.
The papers below describe the use of the immersed boundary technique for simulating fluid flow and heat transfer problems over or inside complex geometries. The methodology is based on a fractional step method to integrate in time. The governing equations are discretized and solved on a regular mesh with a finite volume non-staggered grid technique. Implementations of Dirichlet and Neumann and Robin (mixed) type of boundary conditions are also presented and validated. The accuracy of the method is second-order.