Efficient Solvers For Incompressible Flow Problems

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Efficient Solvers for Incompressible Flow Problems

Stefan Turek
Efficient Solvers for Incompressible Flow Problems Book PDF

Author : Stefan Turek
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642583933

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Efficient Solvers for Incompressible Flow Problems by Stefan Turek Pdf

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.

Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

Owe Axelsson,János Karátson
Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations Book PDF

Author : Owe Axelsson,János Karátson
Publisher : Bentham Science Publishers
Page : 153 pages
File Size : 52,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9781608052912

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Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations by Owe Axelsson,János Karátson Pdf

This e-book presents several research areas of elliptical problems solved by differential equations. The mathematical models explained in this e-book have been contributed by experts in the field and can be applied to a wide range of real life examples. M

Numerical Methods for Two-phase Incompressible Flows

Sven Gross,Arnold Reusken
Numerical Methods for Two phase Incompressible Flows Book PDF

Author : Sven Gross,Arnold Reusken
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 53,6 Mb
Release : 2011-04-26
Category : Mathematics
ISBN : 9783642196867

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Numerical Methods for Two-phase Incompressible Flows by Sven Gross,Arnold Reusken Pdf

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.

Hemodynamical Flows

Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek
Hemodynamical Flows Book PDF

Author : Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek
Publisher : Springer Science & Business Media
Page : 512 pages
File Size : 46,5 Mb
Release : 2008-03-18
Category : Medical
ISBN : 9783764378059

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Hemodynamical Flows by Giovanni P. Galdi,Rolf Rannacher,Anne M. Robertson,Stefan Turek Pdf

This book surveys research results on the physical and mathematical modeling, as well as the numerical simulation of complex fluid and structural mechanical processes occurring in the human blood circulation system. Topics treated include continuum mechanical description; choice of suitable liquid and wall models; mathematical analysis of coupled models; numerical methods for flow simulation; parameter identification and model calibration; fluid-solid interaction; mathematical analysis of piping systems; particle transport in channels and pipes; artificial boundary conditions, and many more. The book was developed from lectures presented by the authors at the Oberwolfach Research Institute (MFO), in Oberwolfach-Walke, Germany, November, 2005.

Numerical Methods for Differential Equations, Optimization, and Technological Problems

Sergey Repin,Timo Tiihonen,Tero Tuovinen
Numerical Methods for Differential Equations Optimization and Technological Problems Book PDF

Author : Sergey Repin,Timo Tiihonen,Tero Tuovinen
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 53,6 Mb
Release : 2012-10-13
Category : Technology & Engineering
ISBN : 9789400752870

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Numerical Methods for Differential Equations, Optimization, and Technological Problems by Sergey Repin,Timo Tiihonen,Tero Tuovinen Pdf

This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.

Numerical Simulations of Incompressible Flows

M. M. Hafez,Dochan Kwak
Numerical Simulations of Incompressible Flows Book PDF

Author : M. M. Hafez,Dochan Kwak
Publisher : World Scientific
Page : 712 pages
File Size : 50,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9812796835

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Numerical Simulations of Incompressible Flows by M. M. Hafez,Dochan Kwak Pdf

This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field. Contents: NavierOCoStokes Solvers; Projection Methods; Finite Element Methods; Higher-Order Methods; Innovative Methods; Applications in Aeronautics; Applications Beyond Aeronautics; Multiphase and Cavitating Flows; Special Topics. Readership: Researchers and graduate students in computational science and engineering."

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

Howard C. Elman,David J. Silvester,Andrew J. Wathen
Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics Book PDF

Author : Howard C. Elman,David J. Silvester,Andrew J. Wathen
Publisher : OUP Oxford
Page : 416 pages
File Size : 45,5 Mb
Release : 2005-05-19
Category : Computers
ISBN : 9780191523786

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Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics by Howard C. Elman,David J. Silvester,Andrew J. Wathen Pdf

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.

Large Eddy Simulation of Turbulent Incompressible Flows

Volker John
Large Eddy Simulation of Turbulent Incompressible Flows Book PDF

Author : Volker John
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642186820

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Large Eddy Simulation of Turbulent Incompressible Flows by Volker John Pdf

Large eddy simulation (LES) seeks to simulate the large structures of a turbulent flow. This is the first monograph which considers LES from a mathematical point of view. It concentrates on LES models for which mathematical and numerical analysis is already available and on related LES models. Most of the available analysis is given in detail, the implementation of the LES models into a finite element code is described, the efficient solution of the discrete systems is discussed and numerical studies with the considered LES models are presented.

Computation of Viscous Incompressible Flows

Dochan Kwak,Cetin C. Kiris
Computation of Viscous Incompressible Flows Book PDF

Author : Dochan Kwak,Cetin C. Kiris
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 55,8 Mb
Release : 2010-12-14
Category : Technology & Engineering
ISBN : 9789400701939

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Computation of Viscous Incompressible Flows by Dochan Kwak,Cetin C. Kiris Pdf

This monograph is intended as a concise and self-contained guide to practitioners and graduate students for applying approaches in computational fluid dynamics (CFD) to real-world problems that require a quantification of viscous incompressible flows. In various projects related to NASA missions, the authors have gained CFD expertise over many years by developing and utilizing tools especially related to viscous incompressible flows. They are looking at CFD from an engineering perspective, which is especially useful when working on real-world applications. From that point of view, CFD requires two major elements, namely methods/algorithm and engineering/physical modeling. As for the methods, CFD research has been performed with great successes. In terms of modeling/simulation, mission applications require a deeper understanding of CFD and flow physics, which has only been debated in technical conferences and to a limited scope. This monograph fills the gap by offering in-depth examples for students and engineers to get useful information on CFD for their activities. The procedural details are given with respect to particular tasks from the authors’ field of research, for example simulations of liquid propellant rocket engine subsystems, turbo-pumps and the blood circulations in the human brain as well as the design of artificial heart devices. However, those examples serve as illustrations of computational and physical challenges relevant to many other fields. Unlike other books on incompressible flow simulations, no abstract mathematics are used in this book. Assuming some basic CFD knowledge, readers can easily transfer the insights gained from specific CFD applications in engineering to their area of interest.

Computational Turbulent Incompressible Flow

Johan Hoffman,Claes Johnson
Computational Turbulent Incompressible Flow Book PDF

Author : Johan Hoffman,Claes Johnson
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 42,6 Mb
Release : 2007-01-05
Category : Mathematics
ISBN : 9783540465317

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Computational Turbulent Incompressible Flow by Johan Hoffman,Claes Johnson Pdf

This is Volume 4 of the book series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body and Soul computational finite element methodology in the form of General Galerkin (G2) up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with small viscosity. This is an outstanding textbook presenting plenty of new material with an excellent pedagogical approach.

Fluid-Structure Interaction

Stefan Frei,Bärbel Holm,Thomas Richter,Thomas Wick,Huidong Yang
Fluid Structure Interaction Book PDF

Author : Stefan Frei,Bärbel Holm,Thomas Richter,Thomas Wick,Huidong Yang
Publisher : Walter de Gruyter GmbH & Co KG
Page : 386 pages
File Size : 50,6 Mb
Release : 2017-11-20
Category : Mathematics
ISBN : 9783110494259

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Fluid-Structure Interaction by Stefan Frei,Bärbel Holm,Thomas Richter,Thomas Wick,Huidong Yang Pdf

This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. Contents Part I: Modeling and discretization On the implementation and benchmarking of an extended ALE method for FSI problems The locally adapted parametric finite element method for interface problems on triangular meshes An accurate Eulerian approach for fluid-structure interactions Part II: Solvers Numerical methods for unsteady thermal fluid structure interaction Recent development of robust monolithic fluid-structure interaction solvers A monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: Applications Fluid-structure interaction for vascular flows: From supercomputers to laptops Binary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard Equations Coupling fluid-structure interaction with phase-field fracture: Algorithmic details

Numerical Mathematics and Advanced Applications

Miloslav Feistauer,Vit Dolejší,Peter Knobloch,Karel Najzar
Numerical Mathematics and Advanced Applications Book PDF

Author : Miloslav Feistauer,Vit Dolejší,Peter Knobloch,Karel Najzar
Publisher : Springer Science & Business Media
Page : 873 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642187759

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Numerical Mathematics and Advanced Applications by Miloslav Feistauer,Vit Dolejší,Peter Knobloch,Karel Najzar Pdf

These proceedings collect the major part of the lectures given at ENU MATH2003, the European Conference on Numerical Mathematics and Ad vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men tion fluid dynamics, continuum mechanics, electromagnetism, phase transi tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.

Quantification of Uncertainty: Improving Efficiency and Technology

Marta D'Elia,Max Gunzburger,Gianluigi Rozza
Quantification of Uncertainty Improving Efficiency and Technology Book PDF

Author : Marta D'Elia,Max Gunzburger,Gianluigi Rozza
Publisher : Springer Nature
Page : 290 pages
File Size : 46,5 Mb
Release : 2020-07-30
Category : Mathematics
ISBN : 9783030487218

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Quantification of Uncertainty: Improving Efficiency and Technology by Marta D'Elia,Max Gunzburger,Gianluigi Rozza Pdf

This book explores four guiding themes – reduced order modelling, high dimensional problems, efficient algorithms, and applications – by reviewing recent algorithmic and mathematical advances and the development of new research directions for uncertainty quantification in the context of partial differential equations with random inputs. Highlighting the most promising approaches for (near-) future improvements in the way uncertainty quantification problems in the partial differential equation setting are solved, and gathering contributions by leading international experts, the book’s content will impact the scientific, engineering, financial, economic, environmental, social, and commercial sectors.

Finite Element Methods for Computational Fluid Dynamics

Dmitri Kuzmin,Jari Hamalainen
Finite Element Methods for Computational Fluid Dynamics Book PDF

Author : Dmitri Kuzmin,Jari Hamalainen
Publisher : SIAM
Page : 321 pages
File Size : 41,5 Mb
Release : 2014-12-18
Category : Science
ISBN : 9781611973600

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Finite Element Methods for Computational Fluid Dynamics by Dmitri Kuzmin,Jari Hamalainen Pdf

This informal introduction to computational fluid dynamics and practical guide to numerical simulation of transport phenomena covers the derivation of the governing equations, construction of finite element approximations, and qualitative properties of numerical solutions, among other topics. To make the book accessible to readers with diverse interests and backgrounds, the authors begin at a basic level and advance to numerical tools for increasingly difficult flow problems, emphasizing practical implementation rather than mathematical theory.?Finite Element Methods for Computational Fluid Dynamics: A Practical Guide?explains the basics of the finite element method (FEM) in the context of simple model problems, illustrated by numerical examples. It comprehensively reviews stabilization techniques for convection-dominated transport problems, introducing the reader to streamline diffusion methods, Petrov?Galerkin approximations, Taylor?Galerkin schemes, flux-corrected transport algorithms, and other nonlinear high-resolution schemes, and covers Petrov?Galerkin stabilization, classical projection schemes, Schur complement solvers, and the implementation of the k-epsilon turbulence model in its presentation of the FEM for incompressible flow problem. The book also describes the open-source finite element library ELMER, which is recommended as a software development kit for advanced applications in an online component.?

Vector and Parallel Processing - VECPAR'98

Jose M.L.M. Palma,Jack Dongarra,Vicente Hernandez
Vector and Parallel Processing VECPAR 98 Book PDF

Author : Jose M.L.M. Palma,Jack Dongarra,Vicente Hernandez
Publisher : Springer
Page : 712 pages
File Size : 53,6 Mb
Release : 2006-10-11
Category : Computers
ISBN : 9783540485162

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Vector and Parallel Processing - VECPAR'98 by Jose M.L.M. Palma,Jack Dongarra,Vicente Hernandez Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the Third International Conference on Vector and Parallel Processing, VECPAR'98, held in Porto, Portugal, in June 1998. The 41 revised full papers presented were carefully selected during two rounds of reviewing and revision. Also included are six invited papers and introductory chapter surveys. The papers are organized in sections on eigenvalue problems and solutions of linear systems; computational fluid dynamics, structural analysis, and mesh partitioning; computing in education; computer organization, programming and benchmarking; image analysis and synthesis; parallel database servers; and nonlinear problems.