Efficient Solvers for Incompressible Flow Problems PDF Download
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Author: Stefan Turek
Publisher: Springer Science & Business Media
ISBN: 3642583938
Category : Mathematics
Languages : en
Pages : 369
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Book Description
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.
Author: Stefan Turek
Publisher: Springer Science & Business Media
ISBN: 3642583938
Category : Mathematics
Languages : en
Pages : 369
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Book Description
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.
Author: Stefan Turek
Publisher: Springer Science & Business Media
ISBN: 9783540654339
Category : Mathematics
Languages : en
Pages : 382
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Book Description
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.
Author: Sven Gross
Publisher: Springer Science & Business Media
ISBN: 3642196861
Category : Mathematics
Languages : en
Pages : 487
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Book Description
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Author: Michal Krizek
Publisher: Springer Science & Business Media
ISBN: 3642185606
Category : Science
Languages : en
Pages : 405
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Book Description
The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well. Via their combinations practitioners have been able to solve complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems. The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing.
Author: Gunilla Kreiss
Publisher: Springer Science & Business Media
ISBN: 3642117953
Category : Mathematics
Languages : en
Pages : 900
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Book Description
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Author: Tetsuya Sakurai
Publisher: Springer
ISBN: 3319624261
Category : Computers
Languages : en
Pages : 312
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Book Description
This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.
Author: Ivan Lirkov
Publisher: Springer
ISBN: 3642298435
Category : Computers
Languages : en
Pages : 669
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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Large-Scale Scientific Computations, LSSC 2011, held in Sozopol, Bulgaria, in June 2011. The 74 revised full papers presented together with 3 plenary and invited papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on robust multigrid, multilevel and multiscale, deterministic and stochastic methods for modeling highly heterogeneous media, advanced methods for transport, control and uncertain systems, applications of metaheuristics to large-scale problems, environmental modelling, large scale computing on many-core architectures, multiscale industrial, enviromental and biomedical problems, efficient algorithms of computational geometry, high performance Monte Carlo simulations, voxel based computations and contributed papers.
Author: Dmitri Kuzmin
Publisher: Springer Science & Business Media
ISBN: 3540272062
Category : Science
Languages : en
Pages : 312
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Book Description
Addressing students and researchers as well as CFD practitioners, this book describes the state of the art in the development of high-resolution schemes based on the Flux-Corrected Transport (FCT) paradigm. Intended for readers who have a solid background in computational fluid dynamics, the book begins with historical notes by J.P. Boris and D.L. Book. Review articles that follow describe recent advances in the design of FCT algorithms as well as various algorithmic aspects. The topics addressed in the book and its main highlights include: the derivation and analysis of classical FCT schemes, with special emphasis on the underlying physical and mathematical constraints; flux limiting for hyperbolic systems; generalization of FCT to implicit time-stepping and finite element discretizations on unstructured meshes and its role as a subgrid scale model for Monotonically Integrated Large Eddy Simulation (MILES) of turbulent flows. The proposed enhancements of the FCT methodology also comprise the prelimiting and 'failsafe' adjustment of antidiffusive fluxes, the use of characteristic variables, and iterative flux correction. The cause and cure of detrimental clipping/terracing effects are discussed. Many numerical examples are presented for academic test problems and large-scale applications alike.
Author: Mario Bebendorf
Publisher: Springer Science & Business Media
ISBN: 3540771476
Category : Mathematics
Languages : en
Pages : 303
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Book Description
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.
Author: Andrea Cangiani
Publisher: Springer Science & Business Media
ISBN: 3642331343
Category : Mathematics
Languages : en
Pages : 811
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Book Description
The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific computing, numerical analysis, and practical use of modern numerical techniques and algorithms in various applications. New results on finite element methods, multiscale methods, numerical linear algebra, and finite difference schemes are presented. A range of applications include computational problems from fluid dynamics, materials, image processing, and molecular dynamics.
