Finite Element Methods For Incompressible Flow Problems PDF Download
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Author | : Volker John |
Publisher | : Springer |
Total Pages | : 816 |
Release | : 2016-10-27 |
Genre | : Mathematics |
ISBN | : 3319457500 |
Download Finite Element Methods for Incompressible Flow Problems Book in PDF, ePub and Kindle
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.
Author | : Max D. Gunzburger |
Publisher | : Elsevier |
Total Pages | : 292 |
Release | : 2012-12-02 |
Genre | : Technology & Engineering |
ISBN | : 0323139825 |
Download Finite Element Methods for Viscous Incompressible Flows Book in PDF, ePub and Kindle
Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.
Author | : Jean Donea |
Publisher | : John Wiley & Sons |
Total Pages | : 366 |
Release | : 2003-06-02 |
Genre | : Science |
ISBN | : 9780471496663 |
Download Finite Element Methods for Flow Problems Book in PDF, ePub and Kindle
Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.
Author | : Sven Gross |
Publisher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2011-04-26 |
Genre | : Mathematics |
ISBN | : 3642196861 |
Download Numerical Methods for Two-phase Incompressible Flows Book in PDF, ePub and Kindle
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 | : Dmitri Kuzmin |
Publisher | : SIAM |
Total Pages | : 321 |
Release | : 2014-12-18 |
Genre | : Science |
ISBN | : 1611973600 |
Download Finite Element Methods for Computational Fluid Dynamics Book in PDF, ePub and Kindle
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.?
Author | : M. O. Deville |
Publisher | : Cambridge University Press |
Total Pages | : 532 |
Release | : 2002-08-15 |
Genre | : Mathematics |
ISBN | : 9780521453097 |
Download High-Order Methods for Incompressible Fluid Flow Book in PDF, ePub and Kindle
Publisher Description
Author | : Joe Iannelli |
Publisher | : Springer Science & Business Media |
Total Pages | : 744 |
Release | : 2006-09-24 |
Genre | : Science |
ISBN | : 3540453431 |
Download Characteristics Finite Element Methods in Computational Fluid Dynamics Book in PDF, ePub and Kindle
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from first thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations.
Author | : F. Thomasset |
Publisher | : Springer Science & Business Media |
Total Pages | : 168 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642870473 |
Download Implementation of Finite Element Methods for Navier-Stokes Equations Book in PDF, ePub and Kindle
In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
Author | : Pavel B. Bochev |
Publisher | : Springer Science & Business Media |
Total Pages | : 669 |
Release | : 2009-04-28 |
Genre | : Mathematics |
ISBN | : 0387689222 |
Download Least-Squares Finite Element Methods Book in PDF, ePub and Kindle
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
Author | : Philip M. Gresho |
Publisher | : |
Total Pages | : |
Release | : 2000 |
Genre | : |
ISBN | : |
Download Incompressible Flow and the Finite Element Method Book in PDF, ePub and Kindle