Finite Element Methods for Viscous Incompressible Flows

Finite Element Methods for Viscous Incompressible Flows
Author: Max D. Gunzburger
Publisher: Elsevier
Total Pages: 292
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0323139825

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.

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.

Finite Element Methods for Flow Problems

Finite Element Methods for Flow Problems
Author: Jean Donea
Publisher: John Wiley & Sons
Total Pages: 366
Release: 2003-06-02
Genre: Science
ISBN: 9780471496663

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.

Parallel Algorithms in the Finite Element Approximation of Flow Problems

Parallel Algorithms in the Finite Element Approximation of Flow Problems
Author: Max D. Gunburger
Publisher:
Total Pages: 20
Release: 1988
Genre:
ISBN:

We discuss a portion of the research of the which has been carried out during the past years under AFOSR sponsorship. This includes work on finite element methods for a Ladyshenskaya model of viscous incompressible flow, hyperbolic partial differential equations, exterior problems, algebraic turbulence models, streamfunction vorticity formulations of ciscous flows and first order elliptic systems of partial differential equations, and on substructing methods for the approximate solution of partial differential equations. (MJM).

Finite Element Analysis of Non-Newtonian Flow

Finite Element Analysis of Non-Newtonian Flow
Author: Hou-Cheng Huang
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447107993

A follow on from the author's work "Finite Elements in Heat Transfer" which we published 11/94, and which is a powerful CFD programme that will run on a PC. The fluid flow market is larger than the previous, and this package is good value in comparison with other software packages in Computational Fluid Dynamics, which are generally very expensive. The work in general copes with non-Newtonian laminar flow using the finite element method, and some basic theory of the subject is included in the opening chapters of the book.

Finite Element Techniques for Fluid Flow

Finite Element Techniques for Fluid Flow
Author: J. J. Connor
Publisher: Newnes
Total Pages: 321
Release: 2013-09-11
Genre: Technology & Engineering
ISBN: 1483161161

Finite Element Techniques for Fluid Flow describes the advances in the applications of finite element techniques to fluid mechanics. Topics covered range from weighted residual and variational methods to interpolation functions, inviscid fluids, and flow through porous media. The basic principles and governing equations of fluid mechanics as well as problems related to dispersion and shallow water circulation are also discussed. This text is comprised of nine chapters; the first of which explains some basic definitions and properties as well as the basic principles of weighted residual and variational methods. The reader is then introduced to the simple finite element concepts and models, and gradually to more complex applications. The chapters that follow focus on the governing equations of fluid flow, the solutions to potential type problems, and viscous flow problems in porous media. The solutions to more specialized problems are also presented. This book also considers how circulation problems can be tackled using finite elements, presents a solution to the mass transfer equation, and concludes with an explanation of how to solve general transient incompressible flows. This source will be of use to engineers, applied mathematicians, physicists, self-taught students, and research workers.