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首页Multiphysics Modeling Using COMSOL A First Principles Approach
Multiphysics Modeling Using COMSOL A First Principles Approach
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更新于2023-03-16
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The COMSOL Multiphysics software automatically selects the solver best suited for the particular model based on the overall evaluation of the model. The modeler can, of course, always change the chosen solver and the parametric settings. It is usually best to try the selected solver and default settings first to determine how well they work. Then, once the model has been run, the modeler can try a variation on the model parameter space to seek improved results.
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A F I R S T
P R I N C I P L E S
A P P R O A C H
Multiphysics
M
odeling
USING
COMSOL
®
Multiphysics
M
odeling
USING
COMSOL
®
COMSOL
®
Multiphysics
®
software is the most widely used modeling tool for engineers
and scientists. It allows the user to create 1D, 2D, and 3D simulated environments for
computerized modeling of physical systems and devices. Designed for the senior level
undergraduate, graduate, or the professional scientist or engineer,
Multiphysics Modeling
Using COMSOL
®
offers a step-by-step modeling methodology through examples that are linked
to the Fundamental Laws of Physics through a First Principles Analysis approach. The text
explores a breadth of multiphysics models in coordinate systems that range from 1D to 3D
and introduces the readers to the numerical analysis modeling techniques employed in the
COMSOL
®
Multiphysics
®
software. After readers have built and run the examples, they will
have a much firmer understanding of the concepts, skills, and benefits acquired from the use of
computerized modeling techniques to solve their current technological problems and to explore
new areas of application for their particular technological areas of interest.
KEY FEATURES
n
Presents the physics of First Principles relevant to the problem and correlates them with
the observed behaviors demonstrated in each multiphysics model
n
Introduces the numerical analysis modeling techniques employed in the COMSOL
®
Multiphysics
®
software
n
Includes executable copies of each model and related animations on the accompanying DVD
n
Focuses on models in the electrical, electronic, electromagnetic, optical, thermal physics,
and biophysics areas as examples for later applications in engineering, science, medicine,
and biophysics for the development of devices and systems
A F I R S T
P R I N C I P L E S
A P P R O A C H
RogeR W. PRyoR
Jones and Bartlett Publishers
40 Tall Pine Drive
Sudbury, MA 01776
978-443-5000
info@jbpub.com
www.jbpub.com
Jones
and
Bartlett
ISBN: 978-0-7637-7999-3
PRyoR
Multiphysics
M
odeling
USING
COMSOL
®
Multiphysics
M
odeling
USING
COMSOL
®
A F I R S T
P R I N C I P L E S
A P P R O A C H
RogeR W. PRyoR, PhD
COMSOL
®
Certified COnSuLtant
Multiphysics
Modeling
USING
COMSOL
®
Multiphysics
M
odeling
USING
COMSOL
®
U.S. $89.95
79993_FM_FINAL.QXP 11/5/06 3:06 PM Page i
World Headquarters
Jones and Bartlett Publishers Jones and Bartlett Publishers Jones and Bartlett Publishers
40 Tall Pine Drive Canada International
Sudbury, MA 01776 6339 Ormindale Way Barb House, Barb Mews
978-443-5000 Mississauga, Ontario London W6 7PA
info@jbpub.com L5V 1J2 United Kingdom
www.jbpub.com Canada
Substantial discounts on bulk quantities of Jones and Bartlett’s publications are available to corporations,
professional associations, and other qualified organizations. For details and specific discount information,
contact the special sales department at Jones and Bartlett via the above contact information or send an email
to specialsales@jbpub.com.
Production Credits
Publisher: David Pallai
Editorial Assistant: Molly Whitman
Production Director: Amy Rose
Associate Production Editor: Tiffany Sliter
Associate Marketing Manager: Lindsay Ruggiero
V.P., Manufacturing and Inventory Control: Therese Connell
Composition: Glyph International
Cover Design: Scott Moden
Cover Image: © Photo courtesy of
COMSOL, Inc. (www.comsol.com)
Printing and Binding: Malloy, Inc.
Cover Printing: Malloy, Inc.
Copyright © 2011 by Jones and Bartlett Publishers, LLC
All rights reserved. No part of the material protected by this copyright may be reproduced or utilized in any form,
electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system,
without written permission from the copyright owner.
COMSOL and COMSOL Multiphysics are trademarks of COMSOL AB. COMSOL materials are reprinted with the
permission of COMSOL AB.
Library of Congress Cataloging-in-Publication Data
Pryor, Roger W.
Multiphysics modeling using COMSOL : a first principles approach / Roger W. Pryor.
p. cm.
Includes index.
ISBN-13: 978-0-7637-7999-3 (casebound)
ISBN-10: 0-7637-7999-7 (casebound)
1. Physics—Data processing. 2. Physics—Mathematical models. 3. Physics—Computer simulation. 4.
Engineering—Data processing. 5. Engineering—Mathematical models. 6. Engineering—Computer
simulation. 7. COMSOL Multiphysics. I. Title.
QC52.P793 2010
530.15'18—dc22
2009033347
6048
Printed in the United States of America
13 12 11 10 09 10 9 8 7 6 5 4 3 2 1
Jones and Bartlett’s books and products are available through most bookstores and online booksellers.
To contact Jones and Bartlett Publishers directly, call 800-832-0034, fax 978-443-8000, or visit our website,
www.jbpub.com.
79993_FM_FINAL.QXP 11/5/06 3:06 PM Page ii
Preface ix
Introduction x
Chapter 1 Modeling Methodology 1
Guidelines for New COMSOL
®
Multiphysics
®
Modelers 1
Hardware Considerations 1
Coordinate Systems 2
Implicit Assumptions 5
1D Window Panes Heat Flow Models 6
1D Single-Pane Heat Flow Model 6
1D Dual-Pane Heat Flow Model 16
1D Triple-Pane Heat Flow Model 27
First Principles Applied to Model Definition 35
Common Sources of Modeling Errors 37
Exercises 38
Chapter 2 Materials and Databases 39
Materials and Database Guidelines and Considerations 39
COMSOL
®
Material Library Module: Searchable
Materials Library 40
MatWeb: Searchable Materials Properties Website 43
PKS-MPD: Searchable Materials Properties Database 48
References 61
Exercises 62
Chapter 3 1D Modeling 63
1D Guidelines for New COMSOL
®
Multiphysics
®
Modelers 63
1D Modeling Considerations 63
Coordinate System 64
iii
Contents
79993_FM_FINAL.QXP 11/5/06 3:06 PM Page iii
1D KdV Equation: Solitons and Optical Fibers 64
COMSOL KdV Equation Model 65
First Variation on the KdV Equation Model 77
Second Variation on the KdV Equation Model 83
1D KdV Equation Models: Summary and Conclusions 90
1D Telegraph Equation 90
COMSOL 1D Telegraph Equation Model 92
First Variation on the Telegraph Equation Model 98
Second Variation on the Telegraph Equation Model 105
1D Telegraph Equation Models: Summary
and Conclusions 110
References 112
Exercises 112
Chapter 4 2D Modeling 113
2D Guidelines for New COMSOL
®
Multiphysics
®
Modelers 113
2D Modeling Considerations 113
Coordinate System 114
2D Electrochemical Polishing (Electropolishing) Theory 115
COMSOL 2D Electrochemical Polishing Model 118
First Variation on the 2D Electrochemical Polishing Model 130
Second Variation on the 2D Electrochemical
Polishing Model 147
2D Electrochemical Polishing Models:
Summary and Conclusions 165
2D Hall Effect Model Considerations 167
2D Hall Effect Model 171
First Variation on the 2D Hall Effect Model 186
Second Variation on the 2D Hall Effect Model 203
2D Hall Effect Models: Summary and Conclusions 221
References 222
Exercises 223
Chapter 5 2D Axisymmetric Modeling 225
2D Axisymmetric Guidelines for New COMSOL
®
Multiphysics
®
Modelers 225
2D Axisymmetric Modeling Considerations 225
2D Axisymmetric Coordinate System 227
Heat Conduction Theory 228
iv CONTENTS
79993_FM_FINAL.QXP 11/5/06 3:06 PM Page iv
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