Computational Aerodynamics and Fluid Dynamics
Subtitle: An Introduction
By: by Jean-Jacques Chattot
Series: Scientific Computation; Scientific Computation
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 188
ISBN-13: 9783642077982; 9783662050644
Subjects: Mechanics; Mathematical physics; Physics
Description: This textbook is written for senior undergraduate and graduate students as well as engineers who will develop or use code in the simulation of fluid flows or other physical phenomena. The objective of the book is to give the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple enough problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The reader also will find a chapter on the techniques of linearization of nonlinear problems. The final chapter applies the material to the equations of gas dynamics. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.
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Table of contents: title: Introduction; title: Basics of the Finite-Difference Method; title: Application to the Integration of Ordinary Differential Equations; title: Partial Differential Equations; title: Integration of a Linear Hyperbolic Equation; title: Integration of a Linear Parabolic Equation; title: Integration of a Linear Elliptic Equation; title: Finite Difference Scheme for a Convection; title: Diffusion Equation; title: The Method of Murman and Cole; title: Treatment of Non-linearities; title: Application of a System of Equations; title: Appendix: A. Problems. B. Solutions to Problems; title: References.