As indicated in Vol. 1, the purpose of this two-volume textbook is to pro vide students of engineering, science and applied mathematics with the spe cific techniques, and the framework to develop skill in using them, that have proven effective in the various branches of computational fluid dy namics Volume 1 describes both fundamental and general techniques that are relevant to all branches of fluid flow. This volume contains specific tech niques applicable to the different categories of engineering flow behaviour, many of which are also appropriate to convective heat transfer. The contents of Vol. 2 are suitable for specialised graduate courses in the engineering computational fluid dynamics (CFD) area and are also aimed at the established research worker or practitioner who has already gained some fundamental CFD background. It is assumed that the reader is famil iar with the contents of Vol. 1. The contents of Vol. 2 are arranged in the following way: Chapter 11 de velops and discusses the equations governing fluid flow and introduces the simpler flow categories for which specific computational techniques are considered in Chaps. 14-18. Most practical problems involve computational domain boundaries that do not conveniently coincide with coordinate lines. Consequently, in Chap. 12 the governing equations are expressed in generalised curvilinear coordinates for use in arbitrary computational domains. The corresponding problem of generating an interior grid is considered in Chap. 13.
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ISBN-13
978-3-642-97071-9 (9783642970719)
DOI
10.1007/978-3-642-97071-9
Schweitzer Klassifikation
11. Fluid Dynamics: The Governing Equations.- 11.1 Physical Properties of Fluids.- 11.2 Equations of Motion.- 11.3 Incompressible, Inviscid Flow.- 11.4 Incompressible Boundary Layer Flow.- 11.5 Incompressible, Viscous Flow.- 11.6 Compressible Flow.- 11.7 Closure.- 11.8 Problems.- 12. Generalised Curvilinear Coordinates.- 12.1 Transformation Relationships.- 12.2 Evaluation of the Transformation Parameters.- 12.3 Generalised Coordinate Structure of Typical Equations.- 12.4 Numerical Implementation of Generalised Coordinates.- 12.5 Closure.- 12.6 Problems.- 13. Grid Generation.- 13.1 Physical Aspects.- 13.2 Grid Generation by Partial Differential Equation Solution.- 13.3 Grid Generation by Algebraic Mapping.- 13.4 Numerical Implementation of Algebraic Mapping.- 13.5 Closure.- 13.6 Problems.- 14. Inviscid Flow.- 14.1 Panel Method.- 14.2 Supersonic Inviscid Flow.- 14.3 Transonic Inviscid Flow.- 14.4 Closure.- 14.5 Problems.- 15. Boundary Layer Flow.- 15.1 Simple Boundary Layer Flow.- 15.2 Complex Boundary Layer Flow.- 15.3 Dorodnitsyn Boundary Layer Formulation.- 15.4 Three-Dimensional Boundary Layer Flow.- 15.5 Closure.- 15.6 Problems.- 16. Flows Governed by Reduced Navier-Stokes Equations.- 16.1 Introduction.- 16.2 Internal Flow.- 16.3 External Flow.- 16.4 Closure.- 16.5 Problems.- 17. Incompressible Viscous Flow.- 17.1 Primitive Variables: Unsteady Flow.- 17.2 Primitive Variables: Steady Flow.- 17.3 Vorticity, Stream Function Variables.- 17.4 Vorticity Formulations for Three-Dimensional Flows.- 17.5 Closure.- 17.6 Problems.- 18. Compressible Viscous Flow.- 18.1 Physical Simplifications.- 18.2 Explicit Schemes.- 18.3 Implicit Schemes.- 18.4 Generalised Coordinates.- 18.5 Numerical Dissipation.- 18.6 Closure.- 18.7 Problems.- References.- Contens of Computational Techniquesfor Fluid Dynamics 1 Fundamental and General Techniques.
