Boundary Elements XIII

1004 Pages·1991·32.677 MB·English

by  R. T. Bailey, C. K. Hsieh (auth.), C. A. Brebbia, G. S. Gipson (eds.)

Boundary Elements XIII
THIRTEENTH INTERNATIONAL CONFERENCE
ON
BOUNDARY ELEMENT METHODS
BEM 13
SCIENTIFIC COMMITTEE
C.A. Brebbia S. Mukherjee
G.S. Gipson G. Novati
E. Alarcon K. Onishi
M.H. Aliabadi P.D. Panagiotoupolous
D.E. Beskos F. Paris
M.B. Bush H. Pina
D.J. Cartwright G.F. Pinder
A. Chaudouet-Miranda H. Power
A.H.-D. Cheng T.J. Rudolphi
R. Ciskowski J.J. Rencis
J.J. Connor A.P.S. Salvadurai
S. Cro'lch S. Saigal
T. Cruse R.P. Shaw
J. Dominguez P. Skerget
G.Qu E.P. Stephan
L.J. Gray G. Symm
S. Grilli M. Tanaka
w.s.
Hall J.e.F. Telles
T. Hromadka N. Tosaka
M.A. Jaswon M. Vable
N. Kamiya W.S. Venturini
D. Karabalis J.O. Watson
P.-F. Liu L.C. Wrobel
Boundary Elements XIII
Editors: C.A. Brebbia, Wessex Institute of Technology, U.K.
G.S. Gipson, Oklahoma State University, U.S.A.
Computational Mechanics Publications
Southampton Boston
eM'"
Co-published with
Elsevier Applied Science
London New York
ELSEVIER
C.A. Brebbis G.S. Gipson
Wessex Institute of Technology School of Civil Engineering
Ashurst Lodge 314 Engineering South
Ashurst Oklahoma State University
Southampton Stillwater
S042AA OK 74078
UK USA
Co-published by
Computational Mechanics Publications
Ashurst Lodge, Ashurst, Southampton, UK
Computational Mechanics Publications Ltd
Sole Distributor in the USA and Canada:
Computational Mechanics Inc.
25 Bridge Street, Billerica, MA 01821, USA
and
Elsevier Science Publishers Ltd
Crown House, Linton Road, Barking, Essex IG 11 8JU, UK
Elsevier's Sole Distributor in the USA and Canada:
Elsevier Science Publishing Company Inc.
655 Avenue of the Americas, New York, NY 10010, USA
British Library Cataloguing-in-Publieation Data
A Catalogue record for this book is available
from the British Library
ISBN 1-85166-696-6 Elsevier Applied Science, London, New York
ISBN 1-85312-145-2 Computational Mechanics Publications, Southampton
ISBN 1-56252-072-5 Computational Mechanics Publications, Boston, USA
Library of Congress Catalog Card Number 91 73255
No responsibility is assumed by the Publishers for any injury and/or damage to persons
or property as a matter of products liability, negligence or otherwise, or from any use
or operation of any methods, products, instructions or ideas contained in the material
herein.
©Computational Mechanics Publications 1991
©See also pp. 29 and 836
All rights reserved. No part of this publication may be reproduced, stored in a retrieval
system, or transmitted in any form or by any means, electronic, mechanical, photocopy
ing, recording, or otherwise, without the prior written permission of the publisher.
PREFACE
Since its origin in 1978, the International Conference on Boundary Element
Methods has provided the recognized and established forum for innovations
in boundary element research. Practically all new ideas on boundary ele
ments have been presented at these conferences and the resulting papers can
be found in the published books. The conference brings together the most
renowned scientists and engineers working on boundary element research
throughout the world.
A unique feature of these meetings is that the participation of younger
researchers is actively encouraged by the organizers in an effort to .bring
forward to the attention of the international community an ever expanding
range of new ideas.
This book contains the edited version of the papers presented at the XIIIth
BEM Conference held in Tulsa, Oklahoma in August of 1991. The meeting
attracted a large number of participants and many excellent contributions
which have been divided into nineteen different sections, i.e. Potential Prob
lems; Diffusion and Convection Problems; Fluid Mechanics; Fluid Flow;
Wave Propagation; Groundwater Flow; Heat Transfer; Electrical Problems;
Geomechanics; Plates and Shells; Inelastic Problems; Damage Tolerance;
Contact Mechanics; Industrial Applications; Design Sensitivity and Opti
mization; Inverse Problems; Special Techniques; Numerical Aspects and
Computational Aspects.
The editors are grateful to the Members of the International Scientific Com
mittee who have more actively supported the meeting, i.e. M.H. Aliabadi
(Wessex Institute of Technology); A.D.H. Cheng (University of Delaware);
R. Ciskowski (IBM); J.J. Connor (Massachusetts Institute of Technology);
S. Crouch (University of Minnesota); J. Dominguez (University of Seville);
S. Grilli (University of Liege, Belgium); W.S. Hall (Teesside Polytechnic,
UK); N. Kamiya (Nagoya University, Japan); D. Karabalis (University of
South Carolina); K. Onishi (Fukuoka University); F. Paris (University of
Seville); H. Power (Central University of Caracas); T.J. Rudolphi (Iowa
State University); J.J. Rencis (Worcester Polytechnic Institute); R.P. Shaw
(State University of New York at Buffalo); P. Skerget (University of Mari
bor, Yugoslavia); G. Symm (National Physical Laboratory, UK); M. Tanaka
(Shinshu University, Japan); M. Vable (Michigan Technological University);
L.C. Wrobel (Wessex Institute of Technology).
The editors trust that this book will be useful to all scientists and engineers
who wish to be aware of the state-of-the-art in boundary element research.
They also hope that the book will help to encourage further research into
a method which has gained such a wide audience since 1978.
C.A. Brebbia
G.S. Gipson
August, 1991
CONTENTS
SECTION 1: POTENTIAL PROBLEMS
Treatment of Corners in the Complex 3
Variable Boundary Element Method
R. T. Bailey, C.K. Hsieh
On Using the Delta-Trigonometric Method 15
to Solve the 2-D Neumann Potential Problem
R.S.-C. Cheng
Non-Linear Material Problems with BEM: 31
Dual Reciprocity v. The Kirchhoff Transformation
P. W. Partridge
Boundary Integral Equations for a Class of 43
Nonlinear Problems by the Kirchhoff Transformation
R.P. Shaw
Green's Functions for Helmholtz and Laplace 59
Equations in Heterogeneous Media
R.P. Shaw, N. Makris
SECTION 2: DIFFUSION AND CONVECTION PROBLEMS
A Study of Flow Structures in a Cavity due to 73
Double-Diffusive Natural Convection by
Boundary Element Method and Sub-Domain Technique
1. Zagar, M. Hribersek, P. Skerget,
A. Alujevic
The Laplace Transform Boundary Element (LTBE) 83
Method for the Solution of Diffusion-Type Equations
G.J. Moridis, D.L. Reddell
Solution of Variable Coefficients PDEs by 99
Means of BEM and Perturbation Technique
R. Rangogni
SECTION 3: FLUID MECHANICS
Explicit Forms of the Fundamental Solution 111
Tensor and Singular Integrals for the
2D Primitive-Variables Na vier-Stokes Formulation
K. Darkovich, K. Kakuda, N. Tosaka
Lagrangian Approach of BEM for 129
Incompressible Unsteady Viscous Flow
X. Jin, D.K. Brown
Regular Perturbations for the Exterior 139
Three-Dimensional Slow Viscous Flow Problem
H. Power, G. Mimnda, V. Villamizar
A Boundary Element Study of the Motion 149
of Rigid Particles in Internal Stokes Flow
J. Li, M.S. Ingber
Boundary Element Methods for Nonstationary 161
Stokes Problem in Three Dimensions and Their
Convergence Analysis
H. Wang
The Motion of a Semi-Infinite Bubble 173
between Parallel Plates
Y. Yuan, D.B. Ingham
Moving Boundary Free Flow with Viscosity by BEM 185
Z.-X. Feng, B.-Z. Wang
SECTION 4: FLUID FLOW
Panel Methods and Their Applications to 197
Sailboard Technology
C.A.M. Broers, M.M.A. Pourzanjani,
D.J. Buckingham, T. W. Chiu
Application of the Integral Equation Method 209
to Flows Around a Wing with Circular-Arc Section
H. Hu
A Variational Symmetric Boundary Element 219
Formulation for Fluid-Structure Interaction Problems
F. Erchiqui, A. Gakwaya
Calculation of Two-Dimensional Potential 233
Cascade Flow Using an Indirect Boundary
Element Method
B. Masse, L. Marcouiller
A Combined Two- and Three-Dimensional 245
Boundary Element Method for the Flow over
a Train in a Cross-Wind at Large Angles of Attack
T. W. Chiu
SECTION 5: WAVE PROPAGATION
Numerical Study of Surface Waves in Channels 261
A.K. Mitra, M.S. Ingber
Water Wave Modeling Using a Boundary Element 273
Method with Overhauser Spline Elements
J. C. Ortiz, S.L. Douglass
SECTION 6: GROUNDWATER FLOW
Boundary Element Formulation for 285
Time Harmonic Poroelastic Problems
J. Dominguez
Saltwater Intrusion in Leaky Aquifers 297
Modelled with B-Spline Elements
J.J.S.P. Cabral, L.C. Wrobel
2-D Steady State and Transient Analysis of 309
Salt Water Intrusion into Coastal Aquifers by
a Direct Time Domain BEM
D.C. Rizos, D.L. Karabalis
SECTION 7: HEAT TRANSFER
Boundary Element Solution of Combined-Mode 319
Heat Transfer in Radiative1y Participating Media
A.J. Kassab, C.J. Saltiel
Computational Aspects of the Boundary Element 331
Method Applied to Frictional Heating
B. Vick, L.P. Golan II
Thermal Simulations of Semiconductor Chips 345
Using BEM
M. Driscart, G. De Mey
Application of the Complex Variable Boundary 357
Element Method to the Solution of Heat Conduction
Problems in Doubly and Multiply Connected Domains
A.J. Kassab, C.K. Hsieh
SECTION 8: ELECTRICAL PROBLEMS
Comparison of Pure and Coupled BEM Methods 375
for the Study of a Thin Plate Induction Oven
P. Dular, A. Genon, W. Legros,
J. Mauhin, A. Nicolet, M. Ume
Hybrid Boundary Integral Equation Method 385
for Charge Injection and Transport in Electroreceptors
M.H. Lean, P.S. Ramesh
Comer Modelling for BEM in Magnetostatic 397
N. Bamps, P. Dular, A. Genon, H. Hedia,
W. Legros, A. Nicolet
Application of Boundary Element and 407
Characteristic Methods for Modelling of
Corona Fields
K. Adamiak
SECTION 9: GEOMECHANICS
Boundary Integral Techniques for Stochastic 421
Problems in Geomechanics
G.D. Manolis
Frequency Domain BE Calculations and 433
Interferometry Measurements in Geomechanics
L. Gaul, M. Plenge
Foundation-Soil-Foundation Dynamics 447
Using a 3-D Frequency Domain BEM
D.L. Karabalis, M. Mohammadi
Seismic Waves in an Impacted Half-Space: 457
Time Domain BEM Versus the Method of
Generalized Ray
H. Antes, P. Borejko, F. Ziegler
Seismic Response of Soil-Structure-Interaction 471
Problems Under Unilateral Contact Conditions
P.N. Patel, C. C. Spyrakos
The Three-Dimensional Dynamic Displacement 483
Discontinuity Method
M.G. Mack, S.L. Crouch
SECTION 10: PLATES AND SHELLS
A Boundary Element Technique on the Solution 499
of Cylindrical Shell Bending Problems
D. Ren, K.-C. Fu
An Indirect Boundary Element Method for 511
Plate Bending Problems
M. Vable, Y. Zhang