Numerical computation of internal and external flows. Volume 1, Fundamentals of computational fluid dynamics / Charles Hirsch.

Format:

Book

Author/Creator:

Hirsch, Ch., author.

Language:

English

Subjects (All):

Fluid dynamics--Data processing--Problems, exercises, etc.

Fluid dynamics.

Computational fluid dynamics.

Fluid dynamics--Mathematical models--Problems, exercises, etc.

Fluid dynamics--Mathematical models.

Physical Description:

1 online resource (656 pages)

Edition:

Second edition.

Other Title:

Numerical computation of internal & external flows

Place of Publication:

Oxford ; Burlington, MA : Elsevier/Butterworth-Heinemann, 2007.

Language Note:

English

Summary:

This text is considered a classic in the field of computational fluid dynamics.

Contents:

Front Cover

Numerical Computation of Internal and External Flows, Second Edition

Copyright Page

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.1.1 The Definition Phase

I.1.2 The Simulation and Analysis Phase

I.1.3 The Manufacturing Cycle Phase

I.2 The components of a CFD simulation system

I.2.1 Step 1: Defining the Mathematical Model

I.2.2 Step 2: Defining the Discretization Process

I.2.3 Step 3: Performing the Analysis Phase

I.2.4 Step 4: Defining the Resolution Phase

I.3 The structure of this volume

References

Part I: The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation

Chapter 1 The Basic Equations of Fluid Dynamics

Objectives and guidelines

1.1 General form of a conservation law

1.2 The mass conservation equation

1.3 The momentum conservation law or equation of motion

1.4 The energy conservation equation

A1.5 Rotating frame of reference

A1.6 Advanced applications of control volume formulations

Summary of the basic flow equations

Conclusions and main topics to remember

Problems

Chapter 2 The Dynamical Levels of Approximation

2.1 The Navier-Stokes equations

2.2 Approximations of turbulent flows

2.3 Thin shear layer approximation (TSL)

2.4 Parabolized Navier-Stokes equations

2.5 Boundary layer approximation

2.6 The distributed loss model

2.7 Inviscid flow model: Euler equations

2.8 Potential flow model

2.9 Summary

Chapter 3 The Mathematical Nature of the Flow Equations and Their Boundary Conditions

3.1 Simplified models of a convection-diffusion equation.

3.2 Definition of the mathematical properties of a system of PDEs

3.3 Hyperbolic and parabolic equations: characteristic surfaces and domain of dependence

3.4 Time-dependent and conservation form of the PDEs

3.5 Initial and boundary conditions

A.3.6 Alternative definition: compatibility relations

Part II: Basic Discretization Techniques

Chapter 4 The Finite Difference Method for Structured Grids

4.1 The basics of finite difference methods

4.2 Multidimensional finite difference formulas

4.3 Finite difference formulas on non-uniform grids

A4.4 General method for finite difference formulas

A4.5 Implicit finite difference formulas

Chapter 5 Finite Volume Method and Conservative Discretization with an Introduction to Finite Element Method

5.1 The conservative discretization

5.2 The basis of the finite volume method

5.3 Practical implementation of finite volume method

A5.4 The finite element method

Chapter 6 Structured and Unstructured Grid Properties

6.1 Structured Grids

6.2 Unstructured grids

6.3 Surface and volume estimations

6.4 Grid quality and best practice guidelines

Part III: The Analysis of Numerical Schemes

Chapter 7 Consistency, Stability and Error Analysis of Numerical Schemes

7.1 Basic concepts and definitions

7.2 The Von Neumann method for stability analysis

7.3 New schemes for the linear convection equation

7.4 The spectral analysis of numerical errors.

Conclusions and main topics to remember

Chapter 8 General Properties and High-Resolution Numerical Schemes

8.1 General formulation of numerical schemes

8.2 The generation of new schemes with prescribed order of accuracy

8.3 Monotonicity of numerical schemes

8.4 Finite volume formulation of schemes and limiters

Part IV: The Resolution of Numerical Schemes

Chapter 9 Time Integration Methods for Space-discretized Equations

9.1 Analysis of the space-discretized systems

9.2 Analysis of time integration schemes

9.3 A selection of time integration methods

A9.4 Implicit schemes for multidimensional problems: approximate factorization methods

Chapter 10 Iterative Methods for the Resolution of Algebraic Systems

10.1 Basic iterative methods

10.2 Overrelaxation methods

10.3 Preconditioning techniques

10.4 Nonlinear problems

10.5 The multigrid method

Appendix A: Thomas Algorithm for Tridiagonal Systems

Part V: Applications to Inviscid and Viscous Flows

Chapter 11 Numerical Simulation of Inviscid Flows

11.1 The inviscid Euler equations

11.2 The potential flow model

11.3 Numerical solutions for the potential equation

11.4 Finite volume discretization of the Euler equations

11.5 Numerical solutions for the Euler equations

Chapter 12 Numerical Solutions of Viscous Laminar Flows

12.1 Navier-Stokes equations for laminar flows.

12.2 Density-based methods for viscous flows

12.3 Numerical solutions with the density-based method

12.4 Pressure correction method

12.5 Numerical solutions with the pressure correction method

12.6 Best practice advice

Index

Colour Plates.

Notes:

Revision of the first vol. of the original two-volume ed.

Title from title screen.

Digitized and made available by: Books24x7.com.

Includes bibliographical references and index.

Description based on online resource: title from PDF title page (EBook Central, viewed October 3, 2023).

Other Format:

Numerical computation of internal and external flows. Volume 1, Fundamentals of computational fluid dynamics

ISBN:

1-281-01928-3

9786611019280

0-08-055002-9

0-7506-6594-7