A Time-dependent Analysis for Quasi-one-dimensional Nozzle Flows with Vibrational and Chemical Nonequilibrium


Book Description

A new technique is presented for the numerical solution of quasi-one-dimensional, vibrational and chemical nonequilibrium nozzle flows including nonequilibrium conditions both upstream and downstream of the throat. This new technique is a time-dependent analysis which entails the explicite finite-difference solution of the quasi-one-dimensional unsteady flow equations in steps of time, starting with assumed initial distributions throughout the nozzle. The steady-state solution is approached at large values of time. A virtue of the present time-dependent analysis is its simplicity, which prevails from its initial physical formulation to the successful receipt of numerical results. Also, the present solution yields the transient as well as the steady-state nonequilibrium nozzle flows. To exemplify the present analysis, results are given for several cases of vibrational and chemical nonequilibrium expansions through nozzles. (Author).







Computational Fluid Dynamics


Book Description

This book is an outgrowth of a von Kannan Institute Lecture Series by the same title first presented in 1985 and repeated with modifications in succeeding years. The objective, then and now, was to present the subject of computational fluid dynamics (CFD) to an audience unfamiliar with all but the most basic aspects of numerical techniques and to do so in such a way that the practical application ofCFD would become clear to everyone. Remarks from hundreds of persons who followed this course encouraged the editor and the authors to improve the content and organization year by year and eventually to produce the present volume. The book is divided into two parts. In the first part, John Anderson lays out the subject by first describing the governing equations offluid dynamics, concentration on their mathematical properties which contain the keys to the choice of the numerical approach. Methods of discretizing the equations are discussed next and then transformation techniques and grids are also discussed. This section closes with two examples of numerical methods which can be understood easily by all concerned: source and vortex panel methods and the explicit method. The second part of the book is devoted to four self-contained chapters on more advanced material: Roger Grundmann treats the boundary layer equations and methods of solution; Gerard Degrez treats implicit time-marching methods for inviscid and viscous compressible flows, and Eric Dick treats, in two separate articles, both finite-volume and finite-element methods.




Modern Problems in Computational Aerohydrodynamics


Book Description

:This book emphasizes the numerical methods of solving boundary problems for nonlinear equations of aerohydrodynamics, especially partial differential and integro-differential equations. Topics discussed include an analysis of transonic gas flows and three-dimensional supersonic flows, the simulation of viscous fluid flows, perturbation development in a boundary layer, and approaches to constructing adaptive grids. The book will appeal to professional aeronautical engineers, applied physicists, applied mathematicians, and geophysicists. @




Computational Fluid Dynamics


Book Description

Computational Fluid Dynamics: An Introduction grew out of a von Karman Institute (VKI) Lecture Series by the same title ?rst presented in 1985 and repeated with modi?cations every year since that time. The objective, then and now, was to present the subject of computational ?uid dynamics (CFD) to an audience unfamiliar with all but the most basic numerical techniques and to do so in such a way that the practical application of CFD would become clear to everyone. A second edition appeared in 1995 with updates to all the chapters and when that printing came to an end, the publisher requested that the editor and authors consider the preparation of a third edition. Happily, the authors received the request with enthusiasm. The third edition has the goal of presenting additional updates and clari?cations while preserving the introductory nature of the material. The book is divided into three parts. John Anderson lays out the subject in Part I by ?rst describing the governing equations of ?uid dynamics, concentrating on their mathematical properties which contain the keys to the choice of the numerical approach. Methods of discretizing the equations are discussed and transformation techniques and grids are presented. Two examples of numerical methods close out this part of the book: source and vortex panel methods and the explicit method. Part II is devoted to four self-contained chapters on more advanced material. Roger Grundmann treats the boundary layer equations and methods of solution.