Elements of Numerical Methods for Compressible Flows

By: Doyle D. Knight

Write A Review

Hardcover | 14 August 2006

At a Glance

Hardcover
266 Pages

Dimensions(cm)
25.4 x 17.8 x 1.6

Hardcover

RRP $176.95

$171.75

or 4 interest-free payments of $42.94 with

or

Aims to ship in 7 to 10 business days

When will this arrive by?
Enter delivery postcode to estimate

The purpose of this book is to present the basic elements of numerical methods for compressible flows. It is appropriate for advanced undergraduate and graduate students and specialists working in high speed flows. The focus is on the unsteady one-dimensional Euler equations which form the basis for numerical algorithms in compressible fluid mechanics. The book is restricted to the basic concepts of finite volume methods, and even in this regard is not intended to be exhaustive in its treatment. Although the practical applications of the one-dimensional Euler equations are limited, virtually all numerical algorithms for inviscid compressible flow in two and three dimensions owe their origin to techniques developed in the context of the one-dimensional Euler equations. The author believes it is therefore essential to understand the development and implementation of these algorithms in their original one-dimensional context. The text is supplemented by numerous end-of-chapter exercises.

Industry Reviews

'... this is a clear and concise book on key elements of an important set of numerical methods for simulating flows with shocks. I am very glad to have it on my bookshelf.' Theoretical and Computational Fluid Dynamics

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Aerodynamics

ISE Fundamentals of Aerodynamics

7th Edition

Paperback

RRP $159.95

$141.80

11%
OFF

$20.40

11%
OFF

Fundamentals of Aerodynamics 6th edition - John Anderson

$226.50

31%
OFF

Stick and Rudder

An Explanation of the Art of Flying

Hardcover

RRP $52.95

$38.75

27%
OFF

Mechanics of Flight

Paperback

RRP $167.95

$151.25

10%
OFF

Robust Aeroservoelastic Stability Analysis : Flight Test Applications : Advances in Industrial Control - Eric Allen

$38.75

22%
OFF

How Birds Fly

The Science and Art of Avian Flight

Hardcover

RRP $69.95

$52.25

25%
OFF

Aerodynamics Principles for Air Transport Pilots

Hardcover

RRP $242.00

$191.75

21%
OFF

Helicopter Flying Handbook

FAA-H-8083-21B

Paperback

RRP $29.99

$26.25

12%
OFF

Chasing The Demon : A Secret History Of The Quest For The Sound Barrier, And The Band Of American Aces Who Conquered It - Dan Hampton

$42.25

23%
OFF

The New World Champion Paper Airplane Book : The Pioneering Design for the Record-Breaking Distance Plane, Plus 16 All-New Tear-out Paper Airplanes to Fold and Fly - John M. Collins

$610.95

17%
OFF

List of Illustrations	p. xiii
List of Tables	p. xvii
Preface	p. xix
Governing Equations	p. 1
Introduction	p. 1
Conservation Laws	p. 2
Convective Derivative	p. 3
Vector Notation	p. 3
Entropy	p. 3
Speed of Sound	p. 4
Alternate Forms	p. 5
One-Dimensional Euler Equations	p. 9
Introduction	p. 9
Differential Forms of One-Dimensional Euler Equations	p. 9
Conservative Form	p. 10
Nonconservative Form	p. 11
Characteristic Form	p. 14
Discontinuous Waves	p. 17
Method of Characteristics	p. 20
Expansion Fan	p. 22
Domains of Dependence and Influence	p. 25
Shock Formation	p. 26
Shock Formation from Sinusoidal Disturbance	p. 30
General Riemann Problem	p. 32
Case 1. Two Shock Waves: p[subscript 1] [less than] p[superscript ] and p[subscript 4] [less than] p[superscript ]	p. 34
Case 2. Shock and Expansion: p[subscript 1] [less than] p[superscript ] and p[subscript 4] [greater than] p[superscript ]	p. 35
Case 3. Expansion and Shock: p[subscript 1] [greater than] p[superscript ] and p[subscript 4] [less than] p[superscript ]	p. 36
Case 4. Two Expansions: p[subscript 1] [greater than] p[superscript ] and p[subscript 4] [greater than] p[superscript ]	p. 37
Riemann Shock Tube	p. 39
Accuracy, Consistency, Convergence, and Stability	p. 45
Introduction	p. 45
The Problem	p. 45
Discretization	p. 46
Four Issues	p. 47
A Class of Discrete Approximations	p. 48
Accuracy	p. 49
Consistency	p. 51
Flux Quadrature and Stability	p. 53
A Simple Flux Quadrature	p. 53
Another Simple Flux Quadrature	p. 56
Numerical Domain of Dependence	p. 59
Shock Waves and Weak Solutions	p. 60
Stability	p. 61
A Simple Flux Quadrature	p. 61
Another Simple Flux Quadrature	p. 66
Convergence	p. 68
Conclusion	p. 69
Reconstruction	p. 73
Introduction	p. 73
Reconstruction Using the Primitive Function	p. 75
No New Extrema	p. 79
Modified Upwind Scheme for Conservation Laws	p. 81
Case 1: [Delta]Q[subscript i]+[Fraction 12] [greater than Equal] 0, [Delta]Q[subscript i]-[Fraction 12] [greater than equal] 0	p. 84
Case 2: [Delta]Q[subscript i]+[Fraction 12] [greater than Equal] 0, [Delta]Q[subscript i]-[Fraction 12] [less than equal] 0	p. 87
Case 3: [Delta]Q[subscript i]+[Fraction 12] [less than Equal] 0, [Delta]Q[subscript i]-[Fraction 12] [less than equal] 0	p. 89
Case 4: [Delta]Q[subscript i]+[Fraction 12] [less than Equal] 0, [Delta]Q[subscript i]-[Fraction 12] [greater than equal] 0	p. 89
Summary	p. 90
Results	p. 92
Essentially Non-Oscillatory Methods	p. 92
Determination of the Value of a	p. 97
Results	p. 99
Godunov Methods	p. 105
Introduction	p. 105
Godunov's Method	p. 105
Algorithm	p. 106
Stability	p. 107
Accuracy, Consistency, and Convergence	p. 108
Roe's Method	p. 109
Algorithm	p. 110
Stability	p. 117
Accuracy, Consistency, and Convergence	p. 120
Entropy Fix	p. 122
Osher's Method	p. 127
Algorithm	p. 127
Stability	p. 139
Accuracy, Consistency, and Convergence	p. 141
Flux Vector Splitting Methods	p. 147
Introduction	p. 147
Steger and Warming's Method	p. 148
Algorithm	p. 148
Stability	p. 153
Accuracy, Consistency, and Convergence	p. 155
Van Leer's Method	p. 157
Algorithm	p. 157
Stability	p. 163
Accuracy, Consistency, and Convergence	p. 164
Temporal Quadrature	p. 170
Introduction	p. 170
Explicit Methods	p. 171
Runge-Kutta	p. 171
Implicit Methods	p. 172
Beam-Warming	p. 173
Stability of Selected Methods	p. 175
Runge-Kutta	p. 175
Beam-Warming	p. 180
TVD Methods	p. 185
Introduction	p. 185
Total Variation	p. 187
Flux Corrected Transport	p. 191
Algorithm	p. 191
Accuracy, Consistency, and Convergence	p. 209
Total Variation	p. 211
MUSCL-Hancock Method	p. 212
Algorithm	p. 213
Accuracy, Consistency, and Convergence	p. 216
Total Variation	p. 216
Notes	p. 224
Bibliography	p. 240
Index	p. 244
Table of Contents provided by Ingram. All Rights Reserved.

Elements of Numerical Methods for Compressible Flows

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Aerodynamics

ISE Fundamentals of Aerodynamics

7th Edition

Glider Flying Handbook

FAA-H-8083-13B

Balloon Flying Handbook

FAA-H-8083-11B

Aviation Weather Handbook (2025)

FAA-H-8083-28A

FAR/AIM 2025

Up-to-Date Federal Aviation Regulations / Aeronautical Information Manual

Particle Dynamics with Aggregation and Fragmentation

An Introduction for Scientists and Engineers

Flights of Fancy

Defying Gravity by Design and Evolution

Fundamentals of Aerodynamics 6th edition

Flight Theory and Aerodynamics

A Practical Guide for Operational Safety

Stick and Rudder

An Explanation of the Art of Flying

Mechanics of Flight

Robust Aeroservoelastic Stability Analysis : Flight Test Applications

Advances in Industrial Control

100 Flying Birds

Photographing the Mechanics of Flight

How Birds Fly

The Science and Art of Avian Flight

Aerodynamics Principles for Air Transport Pilots

Helicopter Flying Handbook

FAA-H-8083-21B

Chasing The Demon

A Secret History Of The Quest For The Sound Barrier, And The Band Of American Aces Who Conquered It

Model Aircraft Aerodynamics

The New World Champion Paper Airplane Book

The Pioneering Design for the Record-Breaking Distance Plane, Plus 16 All-New Tear-out Paper Airplanes to Fold and Fly

Fold and Fly Paper Airplane Kit

Aces Wild : The Race for Mach 1 : The Race for Mach 1

The Race for Mach 1 : The Race for Mach 1

Non-Linear Dynamic Problems for Composite Cylindrical Shells

Flight Dynamics

International Studen

Low-Speed Wind Tunnel Testing

This product is categorised by