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Efficient Solvers for Incompressible Flow Problems

1999 Mathematics
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Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 339/5 ( reviews)

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Book Synopsis Efficient Solvers for Incompressible Flow Problems by : Stefan Turek

Download or read book Efficient Solvers for Incompressible Flow Problems written by Stefan Turek. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynamics (CFD), which are governed by the incompressible Navier-Stokes equations. It contains several of the latest results for the numerical solution of (complex) flow problems on modern computer platforms. Particular emphasis is put on the solution process of the resulting high dimensional discrete systems of equations which is often neglected in other works. Together with the included CD ROM which contains the complete FEATFLOW 1.1 software and parts of the "Virtual Album of Fluid Motion," which is a "Movie Gallery" with lots of MPED videos, the interested reader is enabled to perform his own numerical simulations or he may find numerous suggestions for improving his own computational simulations.

Efficient Solvers for Incompressible Flow Problems

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 938/5 ( reviews)

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Book Synopsis Efficient Solvers for Incompressible Flow Problems by : Stefan Turek

Download or read book Efficient Solvers for Incompressible Flow Problems written by Stefan Turek. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of recent numerical and algorithmic tools for the solution of certain flow problems arising in CFD, which are governed by the incompressible Navier-Stokes equations. The book contains the latest results for the numerical solution of (complex) flow problems on modern computer platforms, with particular emphasis on the solution process of the resulting high dimensional discrete systems of equations which is often neglected in other works. Together with the accompanying CD ROM containing the complete FEATFLOW 1.1 software and parts of the "Virtual Album of Fluid Motion", readers are able to perform their own numerical simulations and will find numerous suggestions for improving their own computational simulations.

An Assessment of Solvers for Saddle Point Problems Emerging from the Incompressible Navier-Stokes Equations

2017
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Release : 2017
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis An Assessment of Solvers for Saddle Point Problems Emerging from the Incompressible Navier-Stokes Equations by : Naveed Ahmed

Download or read book An Assessment of Solvers for Saddle Point Problems Emerging from the Incompressible Navier-Stokes Equations written by Naveed Ahmed. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: Efficient incompressible flow simulations, using inf-sup stable pairs of finite element spaces, require the application of efficient solvers for the arising linear saddle point problems. This paper presents an assessment of different solvers: the sparse direct solver UMFPACK, the flexible GMRES (FGMRES) method with different coupled multigrid preconditioners, and FGMRES with Least Squares Commutator (LSC) preconditioners. The assessment is performed for steady-state and time-dependent flows around cylinders in 2d and 3d. Several pairs of inf-sup stable finite element spaces with second order velocity and first order pressure are used. It turns out that for the steady-state problems often FGMRES with an appropriate multigrid preconditioner was the most efficient method on finer grids. For the time-dependent problems, FGMRES with LSC preconditioners that use an inexact iterative solution of the velocity subproblem worked best for smaller time steps.

Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics

2005-05-19 Computers
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Release : 2005-05-19
Genre : Computers
Kind : eBook
Book Rating : 78X/5 ( reviews)

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Book Synopsis Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics by : Howard C. Elman

Download or read book Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics written by Howard C. Elman. This book was released on 2005-05-19. Available in PDF, EPUB and Kindle. Book excerpt: The authors' intended audience is at the level of graduate students and researchers, and we believe that the text offers a valuable contribution to all finite element researchers who would like to broadened both their fundamental and applied knowledge of the field. - Spencer J. Sherwin and Robert M. Kirby, Fluid Mechanics, Vol 557, 2006.

Finite Element Methods for Incompressible Flow Problems

2016-10-27 Mathematics
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Release : 2016-10-27
Genre : Mathematics
Kind : eBook
Book Rating : 500/5 ( reviews)

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Book Synopsis Finite Element Methods for Incompressible Flow Problems by : Volker John

Download or read book Finite Element Methods for Incompressible Flow Problems written by Volker John. This book was released on 2016-10-27. Available in PDF, EPUB and Kindle. Book excerpt: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.

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