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Incompressible Flow and the Finite Element Method, 2 Volume Set

Incompressible Flow and the Finite Element Method, 2 Volume Set
Author: P. M. Gresho
Publisher: Wiley
Total Pages: 0
Release: 2000-07-26
Genre: Science
ISBN: 9780471492689

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This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.


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

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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: 812
Release: 2016-10-27
Genre: Mathematics
ISBN: 3319457500

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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

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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.


The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals
Author: Olek C Zienkiewicz
Publisher: Elsevier
Total Pages: 753
Release: 2005-05-26
Genre: Technology & Engineering
ISBN: 008047277X

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The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text


The Intermediate Finite Element Method

The Intermediate Finite Element Method
Author: Darrell W. Pepper
Publisher: Routledge
Total Pages: 619
Release: 2017-11-01
Genre: Science
ISBN: 1351410121

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This book is a follow-up to the introductory text written by the same authors. The primary emphasis on this book is linear and nonlinear partial differential equations with particular concentration on the equations of viscous fluid motion. Each chapter describes a particular application of the finite element method and illustrates the concepts through example problems. A comprehensive appendix lists computer codes for 2-D fluid flow and two 3-D transient codes.


Incompressible Flow and the Finite Element Method: Incompressible Flow and the Finite Element Method & Advection-Diffusion and Isothermal Laminar Flow (Combined edition)

Incompressible Flow and the Finite Element Method: Incompressible Flow and the Finite Element Method & Advection-Diffusion and Isothermal Laminar Flow (Combined edition)
Author: P. M. Gresho
Publisher: Wiley
Total Pages: 1044
Release: 1998-06-18
Genre: Science
ISBN: 9780471967897

Download Incompressible Flow and the Finite Element Method: Incompressible Flow and the Finite Element Method & Advection-Diffusion and Isothermal Laminar Flow (Combined edition) Book in PDF, ePub and Kindle

This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: · consistent mass matrix · consistent pressure Poisson equation · consistent penalty methods · consistent normal direction · consistent heat flux · consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.


An Introduction to the Finite Element Method

An Introduction to the Finite Element Method
Author: Junuthula Narasimha Reddy
Publisher:
Total Pages: 766
Release: 2006
Genre: Finite element method
ISBN: 9780071244732

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The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas.Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of engineering areas making the book approriate for all engineering majors, and underscores the wide range of use FEM has in the professional world