The aim of this book is to bring together classical and recent developments in the particular field of Newtonian flow at low Reynolds numbers. The methods are developed from first principles, alternative formulations are compared, a variety of configurations are addressed, the proper mathematical framework is discussed in the context of functional analysis and integral-equation-theory, and procedures of numerical solution in the context of the boundary element method are introduced. The text contains a fair amount of original material pertaining, in particular, to the properties and explicit form of the Green's functions, and the theory of the integral equations that arise from boundary integral representations.
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Editorial Reviews
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"...well written. The author is to be congratulated for the excellent presentation of rather difficult and involved methodologies." S. Bhaduri, Applied Mechanics Reviews
"...a very readable and attractive book, packed with basic information and with a modern outlook on linear viscous fluid flow and it is written with authority." Frank Rizzo, SIAM Review
"...a very readable and attractive book, packed with basic information and with a modern outlook on linear viscous fluid flow and it is written with authority." Frank Rizzo, SIAM Review
Book Description
In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
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1 of 1 people found the following review helpful:
1.0 out of 5 stars
Not very helpful,
This review is from: Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics) (Paperback)
I wrote my own boundary integral code for my research. Every time I look for something I check Pozrikidis's book and find an explanation so convoluted it would take less time to re-derive the answer myself. I have found a good introduction to the theory in Leal's "Laminar Flow and Convective Transport Processes" and a practical guide to simulations in Youngren and Acrivos's 1975 JFM paper "Stokes flow past a particle of arbitrary shape: a numerical method of solution". For more advanced guides to the theory I refer to Ladyzhenskaya's "The mathematical theory of viscous incompressible flow"
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A Must-Read on the Topic,
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This review is from: Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics) (Paperback)
The writing style of the author is systematic, concise, and right to the point. You may need to derive things on your own following the hints from the book (That's how you learn). All the basics and mathematical results are provided. All in all, a nice volume to study the boundary integral methods for Stokes flows.
5.0 out of 5 stars
Useful for my dissertation work,
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This review is from: Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics) (Hardcover)
Probably could not have finished my PhD without the explanations provided here. Helped me understand the complex mathematics I used to do my research.
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Inside This Book
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First Sentence:
Referring to a frame of reference which is either fixed or translated in space, let us consider the flow of an incompressible Newtonian fluid. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
point force doublet, marginal eigenvalues, boundary integral representation, resistance matrices, torque with respect, boundary integral equation, axisymmetric domain, supplementary flow, reciprocal identity, flow bounded, homogeneous equation corresponding, parallel plane walls, surface force exerted, unbounded flow, boundary integral methods, incident flow, biharmonic equation, singularity methods, arbitrary constant vectors, infinite flow, swirling flow, azimuthal plane, normal vector pointing, disturbance velocity, ambient flow New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Referring to a frame of reference which is either fixed or translated in space, let us consider the flow of an incompressible Newtonian fluid. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
point force doublet, marginal eigenvalues, boundary integral representation, resistance matrices, torque with respect, boundary integral equation, axisymmetric domain, supplementary flow, reciprocal identity, flow bounded, homogeneous equation corresponding, parallel plane walls, surface force exerted, unbounded flow, boundary integral methods, incident flow, biharmonic equation, singularity methods, arbitrary constant vectors, infinite flow, swirling flow, azimuthal plane, normal vector pointing, disturbance velocity, ambient flow New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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37
books
cite this book:
See all 37 books citing this book
- Perturbation Methods in Fluid Mechanics by Milton D. Van Dyke in Back Matter
- Partial Differential Equations (AMS Chelsea Publishing) by Paul R. Garabedian in Back Matter
- Linear Integral Equations by Ram P. Kanwal in Back Matter
- A Practical Guide to Splines by Carl De Boor in Back Matter
- Linear Integral Equations (Applied Mathematical Sciences) (Vol 82) by Rainer Kress in Back Matter
See all 30 books this book cites
- Theory of Vortex Sound (Cambridge Texts in Applied Mathematics) by M. S. Howe in Front Matter
- Incompressible Flow by Ronald L. Panton in Back Matter
- Mathematical Models in the Applied Sciences (Cambridge Texts in Applied Mathematics) by A. C. Fowler in Front Matter
- Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics) by Randall J. LeVeque in Front Matter
- Numerical Computation in Science and Engineering by C. Pozrikidis on page 326
See all 37 books citing this book
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