Efficient Solvers for Incompressible Flow Problems

Efficient Solvers for Incompressible Flow Problems
Author: Stefan Turek
Publisher: Springer Science & Business Media
Total Pages: 369
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642583938

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 Solvers for Incompressible Flow Problems

Efficient Solvers for Incompressible Flow Problems
Author: Stefan Turek
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 1999
Genre: Mathematics
ISBN: 9783540654339

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.

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

Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics
Author: Howard C. Elman
Publisher: OUP Oxford
Total Pages: 416
Release: 2005-05-19
Genre: Computers
ISBN: 019152378X

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

Finite Element Methods for Incompressible Flow Problems
Author: Volker John
Publisher: Springer
Total Pages: 816
Release: 2016-10-27
Genre: Mathematics
ISBN: 3319457500

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.

Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations
Author: Owe Axelsson
Publisher: Bentham Science Publishers
Total Pages: 153
Release: 2011
Genre: Mathematics
ISBN: 1608052915

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 Differential Equations, Optimization, and Technological Problems

Numerical Methods for Differential Equations, Optimization, and Technological Problems
Author: Sergey Repin
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2012-10-13
Genre: Technology & Engineering
ISBN: 9400752873

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.

Hemodynamical Flows

Hemodynamical Flows
Author: Giovanni P. Galdi
Publisher: Springer Science & Business Media
Total Pages: 512
Release: 2008-03-18
Genre: Medical
ISBN: 3764378050

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 Simulations of Incompressible Flows

Numerical Simulations of Incompressible Flows
Author: M. M. Hafez
Publisher: World Scientific
Total Pages: 712
Release: 2003
Genre: Mathematics
ISBN: 9789812796837

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."

Fluid-Structure Interaction

Fluid-Structure Interaction
Author: Stefan Frei
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 442
Release: 2017-11-20
Genre: Mathematics
ISBN: 311049258X

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

Large Eddy Simulation of Turbulent Incompressible Flows

Large Eddy Simulation of Turbulent Incompressible Flows
Author: Volker John
Publisher: Springer Science & Business Media
Total Pages: 270
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642186823

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.