"Numeriсаl Computation of Internal and External Flows. Volume 1: Fundamentals of Computational..." by Chаrles Hirsсh

The second edition of this book is a self-contained introduction to computational fluid dynamics (CFD). It covers the fundamentals of the subject and is ideal as a text or a comprehensive reference to CFD theory and practice.

This volume focuses on the essential components of a simulation system, at an introductory level to CFD. The main objective of the book is to make the student aware of the main steps required by setting up a numerical simulation, and the various implications as well as the variety of options available.
Each chapter is introduced by a section describing the ‘Objectives and guidelines to this Chapter’, and terminates by a section on ‘Conclusions and main topics to remember’, allowing the instructor or the student to establish his or her guide through the selected source material.

Key Features:
• New approach takes readers seamlessly from first principles to more advanced and applied topics.
• Presents the essential components of a simulation system at a level suitable for those coming into contact with CFD for the first time, and is ideal for those who need a comprehensive refresher on the fundamentals of CFD.
• Enhanced pedagogy features chapter objectives, hands-on practice examples and end of chapter exercises.
• Extended coverage of finite difference, finite volume and finite element methods.
• New chapters include an introduction to grid properties and the use of grids in practice.
• Includes material on 2-D inviscid, potential and Euler flows, 2-D viscous flows and Navier-Stokes flows to enable the reader to develop basic CFD simulations.

Contents
Preface to the Second Edition
Nomenclature
Introduction: An Initial Guide to CFD and to this Volume
i.1 The position of CFD in the world of virtual prototyping
i.2 The components of a CFD simulation system
i.3 The structure of this volume
References
Part I: The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation
1 The Basic Equations of Fluid Dynamics
2 The Dynamical Levels of Approximation
3 The Mathematical Nature of the Flow Equations and Their Boundary Conditions
Part II: Basic Discretization Techniques
4 The Finite Difference Method for Structured Grids
5 Finite Volume Method and Conservative Discretization with an Introduction to Finite Element Method
6 Structured and Unstructured Grid Properties
Part III: The Analysis of Numerical Schemes
7 Consistency, Stability and Error Analysis of Numerical Schemes
8 General Properties and High-Resolution Numerical Schemes
Part IV: The Resolution of Numerical Schemes
9 Time Integration Methods for Space-discretized Equations
10 Iterative Methods for the Resolution of Algebraic Systems
Part V: Applications to Inviscid and Viscous Flows
11 Numerical Simulation of Inviscid Flows
12 Numerical Solutions of Viscous Laminar Flows
Index
Colour Plates