Boundary Element Method For Heat Conduction
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Boundary Element Method For Heat Conduction
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Author : E. Divo
language : en
Publisher: WIT Press (UK)
Release Date : 2003
Boundary Element Method For Heat Conduction written by E. Divo and has been published by WIT Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Boundary element methods categories.
This monograph represents a contribution to integral equation methods. It provides the formulation of a boundary-only integral equation for field problems governed by variable coefficient partial differential equations. Although the authors concentrate on the heat conduction equation, the method they propose is general and applicable to a variety of engineering field problems.
Boundary Element Methods In Heat Transfer
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Author : Wrobel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Element Methods In Heat Transfer written by Wrobel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Heat transfer problems in industry are usually of a very complex nature, simultaneously involving different transfer modes such as conduction, convection, radiation and others. Because of this, very few problems can be solved analytically and one generally has to resort to numerical analysis. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. This allows major reductions in the data preparation and computer effort necessary to solve complex industrial problems. The purpose of this book is to present efficient algorithms used in conjunction with the boundary element method for the solution of steady and transient, linear and non-linear heat transfer problems. It represents the state-of-the-art of boundary element applications in the field of heat transfer, and constitutes essential reading for researchers and practising engineers involved with this important topic.
Advanced Boundary Elements For Heat Transfer
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Author : M.-T. Ibáñez
language : en
Publisher: Computational Mechanics
Release Date : 2002
Advanced Boundary Elements For Heat Transfer written by M.-T. Ibáñez and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Boundary element methods categories.
In this book the authors present an efficient Boundary Element Method scheme for the numerical solution of two-dimensional heat transfer problems. Lacking the major computational difficulties of traditional reinitialization and convolution schemes, this is of the reinitialization type, in which the domain integrals are computed by a recursive relation that depends only on the boundary temperature and flux at the previous time-step.
The Boundary Element Method For Solving Improperly Posed Problems
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Author : Derek B. Ingham
language : en
Publisher: WIT Press (UK)
Release Date : 1994
The Boundary Element Method For Solving Improperly Posed Problems written by Derek B. Ingham and has been published by WIT Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Boundary element methods categories.
In this title the BEM is applied to several problems which arise in inverse heat conduction to establish a sound basis on which to build solution procedures.
Boundary Element Methods For Heat Transfer With Phase Change Problems Theory And Application
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Author : S. G. Ahmed
language : en
Publisher: Bentham Science Publishers
Release Date : 2022-06-30
Boundary Element Methods For Heat Transfer With Phase Change Problems Theory And Application written by S. G. Ahmed and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-30 with Mathematics categories.
The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations involved in phase change transitions of materials due to heat transfer. Boundary layer applications are widespread in research and industry. Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application equips the reader with information about heat transfer problems occurring during phase changes. The book covers several boundary element methods, including methods for phase changes, fixed and moving domains and new approaches. The contents are rounded off with chapters on numerical results and industrial applications. Key features: - Simple, didactic presentation of boundary layer problems for heat transfer problems - Covers a wide range of boundary element methods - Includes methods for fixed and moving domains - Explains industrial applications of the methods - Includes solutions to numerical problems The book serves as a textbook for students of advanced mathematics and engineering. It is also a handbook for researchers working on numerical analysis, who require a focused volume on boundary element methods for heat transfer applications.
Dual Reciprocity Boundary Element Method
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Author : P.W. Partridge
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dual Reciprocity Boundary Element Method written by P.W. Partridge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its "boundary-only" character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles.
Solving Heat Radiation Problems Using The Boundary Element Method
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Author : Ryszard A. Bialecki
language : en
Publisher:
Release Date : 1993
Solving Heat Radiation Problems Using The Boundary Element Method written by Ryszard A. Bialecki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Boundary element methods categories.
Topics In Boundary Element Research
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Author : C. A. Brebbia
language : en
Publisher: Springer
Release Date : 2013-11-11
Topics In Boundary Element Research written by C. A. Brebbia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Technology & Engineering categories.
As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.
Coupled Field Problems
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Author : Alain J. Kassab
language : en
Publisher: Computational Mechanics
Release Date : 2001
Coupled Field Problems written by Alain J. Kassab and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Boundary element methods categories.
Contributed by researchers involved in multidisciplinary analysis of coupled fields, this book looks at problems in which heat transfer within a solid is coupled to fluid flow and heat transfer external to the solid are addressed together with other modes of heat transfer such as radiation.
The Boundary Element Method Volume 1
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Author : L. C. Wrobel
language : en
Publisher: John Wiley & Sons
Release Date : 2002-04-22
The Boundary Element Method Volume 1 written by L. C. Wrobel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-22 with Technology & Engineering categories.
The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.