The Integral-Differential Scheme (IDS)

The system of the Navier-Stokes equations represents nature and can solve a wide class of fluid flow problems when coupled with the appropriate boundary conditions. Unfortunately the system of the Navier-Stokes equations is highly complex; therefore finding an analytical solution to the system is proving problematic. Then the only way to obtain reasonable complete information on fluid flows lies in computational fluid dynamics (CFD). This book presents a simple robust and innovative CFD solver for the system of the Navier-Stokes equations. The new algorithm is based on extensive physics consideration and is capable of solving complex fluid dynamics problems. The book covers the detailed steps of the new scheme development and solution methodology for the complete three-dimensional form of the system of the Navier-Stokes equations. The versatility of the new solver was proven by obtaining solution to different types of flow problems such as the lid driven cavity problem the shock/boundary interaction problem and the shock train problem. The book is especially useful for the professional of the CFD field or any student who wants to learn the art of CFD.