Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge Texts in Applied Mathematics)
| Author | : | |
| Rating | : | 4.26 (711 Votes) |
| Asin | : | 0511624123 |
| Format Type | : | paperback |
| Number of Pages | : | 419 Pages |
| Publish Date | : | 2018-01-22 |
| Language | : | English |
DESCRIPTION:
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 . "well written. The author is to be congratulated for the excellent presentation of rather difficult and involved methodologies." S
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.. The aim of this book is to bring together classical and recent developments in the particular field of Newtonian flow at low Reynolds numbers
"Best Reference on Boundary Elements for Stokes Flow" according to Gabriele Morra. 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 lo. Not very helpful TwoPointSevenOne 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. A Must-Read on the Topic 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.