This book contains chapters written by some eminent scientists and researchers on Computational Methods in Hypersonic Aerodynamics and forms a natural sequel to the earlier publications on Computational Methods in Potential Flow (1986) and Computational Methods in Viscous Aerodynamics (1990). In this book, the earlier attempts at the solution of the highly nonlinear Navier-Stokes equations are extended to the aerothermodynamics of flow in the hypersonic regime, including the effects of viscosity on the physical and chemical processes of high-temperature nonequilibrium flow at very high speeds, such as vibrational excitation, dissociation and recombination, ionization and radiation, as well as real gas effects and the effects of high temperature and low density. The book has been prepared as a valuable contribution to the state-of-the-art on computational methods in hypersonic aerodynamics. All the chapters have been written by eminent scientists and researchers well known for their work in this field.

In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

This book contains chapters written by some eminent scientists and researchers on Computational Methods in Hypersonic Aerodynamics and forms a natural sequel to the earlier publications on Computational Methods in Potential Flow (1986) and Computational Methods in Viscous Aerodynamics (1990). In this book, the earlier attempts at the solution of the highly nonlinear Navier-Stokes equations are extended to the aerothermodynamics of flow in the hypersonic regime, including the effects of viscosity on the physical and chemical processes of high-temperature nonequilibrium flow at very high speeds, such as vibrational excitation, dissociation and recombination, ionization and radiation, as well as real gas effects and the effects of high temperature and low density. The book has been prepared as a valuable contribution to the state-of-the-art on computational methods in hypersonic aerodynamics. All the chapters have been written by eminent scientists and researchers well known for their work in this field.

This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.