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Download Integral Methods for Linear Flow (Cambridge Texts in Applied Mathematics) eBook

by Pozrikidis

Download Integral Methods for Linear Flow (Cambridge Texts in Applied Mathematics) eBook
ISBN:
0521406935
Author:
Pozrikidis
Category:
Mathematics
Language:
English
Publisher:
Cambridge University Press (February 28, 1992)
Pages:
272 pages
EPUB book:
1692 kb
FB2 book:
1708 kb
DJVU:
1878 kb
Other formats
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Rating:
4.2
Votes:
964


Download list of titles. About Cambridge Texts in Applied Mathematics

Download list of titles. About Cambridge Texts in Applied Mathematics. Books in the series should provide a solid understanding of how a given method can usefully be applied to help solve problems in physics and engineering. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing.

Mobile version (beta). Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics). Download (pdf, . 0 Mb) Donate Read. Epub FB2 mobi txt RTF. Converted file can differ from the original. If possible, download the file in its original format.

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.

Series: Cambridge Texts in Applied Mathematics (Book 8). Paperback: 272 pages. Publisher: Cambridge University Press (February 28, 1992). 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". Hardcover: 272 pages.

This book presents a coherent introduction to boundary integral, boundary element and singularity methods for steady and unsteady flow at zero Reynolds number. The focus of the discussion is not only on the theoretical foundation, but also on the practical application and computer implementation. The text is supplemented with a number of examples and unsolved problems, many drawn from the field of particulate creeping flows.

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Boundary Integral and Singularity Methods for Linearized Viscous Flow C. Pozrikidis.

Boundary Integral and Singularity Methods for Linearized Viscous Flow C. Nonlinear Systems . Stability, Instability and Chaos Paul Glendinning. Applied Analysis of the Navier-Stokes Equations . Viscous Flow H. Ockendon and . Sections denoted with an asterisk ( ) can be either omitted or read independently.

This page intentionally left blank. Cambridge Texts in Applied Mathematics

This page intentionally left blank. Cambridge Texts in Applied Mathematics. Maximum and Minimum Principles M. J. SEWELL. Solitons P. G. DRAZIN AND R. S. JOHNSON. The Kinematics of Mixing J. M. OTTINO. 6 Computational Vortex Methods . The Random-Vortex Method for Viscous Strained Shear Layers . 2D Inviscid Vortex Methods . 3D Inviscid-Vortex Methods . Convergence of Inviscid-Vortex Methods . Computational Performance of the 2D Inviscid-Vortex Method. on a Simple Model Problem . The Random-Vortex Method in Two Dimensions . Appendix for Chapter 6. Notes for Chapter 6 References for Chapter 6. 190 192 208 211 216.

flow infinite flow infinity interface internal flow linear marker points matrix . for Linearized Viscous Flow Cambridge Texts in Applied Mathematics.

flow infinite flow infinity interface internal flow linear marker points matrix mean curvature normal vector particle plane wall point xo potential dipole Pozrikidis pressure field problem radius reciprocal identity represents the flow require respect right-hand side rigid body motion rotation single-layer potential singularity representations ſº solid boundary solution spherical Stokes equation Stokes flow Stokeslet doublet stream function stress tensor stresslet Substituting. Boundary Integral and Singularity Methods for Linearized Viscous Flow Cambridge Texts in Applied Mathematics. C. Pozrikidis, Professor of Fluid Mechanics C Pozrikidis.

This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, (including both linear problems and nonlinear conservation laws)

This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, (including both linear problems and nonlinear conservation laws). These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems.

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.
  • Quashant
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.
  • Vudojar
Good condition
  • Legend 33
I went through this book many times in the last decade, and I still find things that I did not fully grasp in the past. Although one notices that it has 20 years, for the example as most simulations are in 2D and the attention to complicated Green Functions employed for imposing mirror boundary conditions are now obsolete, this book still remains the most precise and elegant introduction to the Boundary Integral Method for Stokes flow. It is simple, clear and everything is written in it should be known by who works in the field of low Reynolds number hydrodynamics. The last part on singularity method is also inspiring but later research in that direction has not been very intense, so it is still new in that sense.
  • Cobyno
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"
  • 6snake6
Probably could not have finished my PhD without the explanations provided here. Helped me understand the complex mathematics I used to do my research.