Efficient Solvers for Incompressible Flow Problems: An Algorithmic and Computational Approach
The scope ofthis book is to discuss recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynam­ ics (CFD). Here, we mainly restrict ourselves to the case of the incompressible Navier-Stokes equations, Ut - v~u + U . V'u+ V'p = f , V'·u = o. (1) These basic equations already play an important role in CFD, both for math­ ematicians as well as for more practical scientists: Physically important facts with "real life" character can be described by them, including also economical aspects in industrial applications. On the other hand, the equations in (1) provide the complete spectrum of numerical problems nowadays concerning the mathematical treatment of partial differential equations. Although this field of research may appear to be a small part only inside of CFD, it was and still is of great interest for mathematicians as well as engineers, physicists, computer scientists and many more: a fact which can be easily checked by counting the numerous publications. Nevertheless, our contribution has some unique characteristics since it contains a few of the lat­ est results for the numerical solution of (complex) flow problems on modern computer platforms. In this book, our particular emphasis lies on the solu­ tion process of the resulting high dimensional discrete systems ofequations which is often neglected in other works. Together with the included CDROM, which contains the 'FEATFLOW 1.
1111487164
Efficient Solvers for Incompressible Flow Problems: An Algorithmic and Computational Approach
The scope ofthis book is to discuss recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynam­ ics (CFD). Here, we mainly restrict ourselves to the case of the incompressible Navier-Stokes equations, Ut - v~u + U . V'u+ V'p = f , V'·u = o. (1) These basic equations already play an important role in CFD, both for math­ ematicians as well as for more practical scientists: Physically important facts with "real life" character can be described by them, including also economical aspects in industrial applications. On the other hand, the equations in (1) provide the complete spectrum of numerical problems nowadays concerning the mathematical treatment of partial differential equations. Although this field of research may appear to be a small part only inside of CFD, it was and still is of great interest for mathematicians as well as engineers, physicists, computer scientists and many more: a fact which can be easily checked by counting the numerous publications. Nevertheless, our contribution has some unique characteristics since it contains a few of the lat­ est results for the numerical solution of (complex) flow problems on modern computer platforms. In this book, our particular emphasis lies on the solu­ tion process of the resulting high dimensional discrete systems ofequations which is often neglected in other works. Together with the included CDROM, which contains the 'FEATFLOW 1.
54.99 In Stock
Efficient Solvers for Incompressible Flow Problems: An Algorithmic and Computational Approach

Efficient Solvers for Incompressible Flow Problems: An Algorithmic and Computational Approach

by Stefan Turek
Efficient Solvers for Incompressible Flow Problems: An Algorithmic and Computational Approach

Efficient Solvers for Incompressible Flow Problems: An Algorithmic and Computational Approach

by Stefan Turek

Paperback(Softcover reprint of the original 1st ed. 1999)

$54.99 
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Overview

The scope ofthis book is to discuss recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynam­ ics (CFD). Here, we mainly restrict ourselves to the case of the incompressible Navier-Stokes equations, Ut - v~u + U . V'u+ V'p = f , V'·u = o. (1) These basic equations already play an important role in CFD, both for math­ ematicians as well as for more practical scientists: Physically important facts with "real life" character can be described by them, including also economical aspects in industrial applications. On the other hand, the equations in (1) provide the complete spectrum of numerical problems nowadays concerning the mathematical treatment of partial differential equations. Although this field of research may appear to be a small part only inside of CFD, it was and still is of great interest for mathematicians as well as engineers, physicists, computer scientists and many more: a fact which can be easily checked by counting the numerous publications. Nevertheless, our contribution has some unique characteristics since it contains a few of the lat­ est results for the numerical solution of (complex) flow problems on modern computer platforms. In this book, our particular emphasis lies on the solu­ tion process of the resulting high dimensional discrete systems ofequations which is often neglected in other works. Together with the included CDROM, which contains the 'FEATFLOW 1.

Product Details

ISBN-13: 9783642635731
Publisher: Springer Berlin Heidelberg
Publication date: 02/28/2013
Series: Lecture Notes in Computational Science and Engineering , #6
Edition description: Softcover reprint of the original 1st ed. 1999
Pages: 358
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1 Motivation for current research.- 2 Derivation of Navier—Stokes solvers.- 3 Other mathematical components.- 4 Numerical comparisons of Navier-Stokes solvers.- 5 Conclusions and outlook.- 6 The enclosed CDROM.
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