Introduction to Computational Aerodynamics

During the last decade remarkable advances have occurred in our ability to solve the Navier-Stokes equations for complex flows. Algorithms were developed and the speed and capacity of digital computers evolved to permit these advances. This report traces some of the significant features of this new field of Computational Fluid Dynamics CFD. The objective is to provide an introduction to CFD for engineers starting in the field. The governing equations are first derived in the divergence form currently in use. The use of numerical methods is first demonstrated by solving the boundary layer equations. Stability and accuracy are then discussed. Several popular algorithms for solving partial differential equations by finite difference are presented. The shock wave structure is then solved by means of one of these algorithms. Numerical techniques for grid generation are discussed along with the general transformation procedure. Self-excited fluid dynamic oscillations encountered in CFD are addressed. It is hoped that by studying these specific topics an engineer can become functional in the field of CFD.