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The Resource The finite element method for fluid dynamics, O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu

The finite element method for fluid dynamics, O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu

Label
The finite element method for fluid dynamics
Title
The finite element method for fluid dynamics
Statement of responsibility
O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu
Creator
Contributor
Subject
Language
eng
Summary
Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.New material in this edition includes sub-grid sca
Member of
Cataloging source
KNOVL
http://library.link/vocab/creatorName
Zienkiewicz, O. C
Dewey number
620.001/51825
Illustrations
illustrations
Index
index present
LC call number
TA640.2
LC item number
.Z5 2005eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1934-
http://library.link/vocab/relatedWorkOrContributorName
  • Taylor, Robert L.
  • Nithiarasu, Perumal
  • Zienkiewicz, O. C
  • Zienkiewicz, O. C
http://library.link/vocab/subjectName
  • Finite element method
  • Mechanics, Applied
  • Fluid dynamics
  • Finite element method
  • Fluid dynamics
  • Mechanics, Applied
Label
The finite element method for fluid dynamics, O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu
Instantiates
Publication
Note
  • Previous edition: 2000
  • "In the present edition we retain the three volume format of the fifth edition but have decided not to pursue the course of having three contiguous volumes -- rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others ... The first volume is renamed The Finite Element Method: Its Basis and Foundamentals ... In [the second] volume we consider more advanced problems in solid and structural mechanics while in a third volume we consider applications in fluid dynamics"--Preface
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Cover -- Contents -- Preface -- Acknowledgements -- 1 Introduction to the equations of fluid dynamics and the finite element approximation -- 1.1 General remarks and classification of fluid dynamics problems discussed in this book -- 1.2 The governing equations of fluid dynamics -- 1.3 Inviscid, incompressible flow -- 1.4 Incompressible (or nearly incompressible) flows -- 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation -- 1.6 Concluding remarks -- References -- 2 Convection dominated problems -- finite element approximations to the convection-diffusion-reaction equation -- 2.1 Introduction -- 2.2 The steady-state problem in one dimension -- 2.3 The steady-state problem in two (or three) dimensions -- 2.4 Steady state -- concluding remarks -- 2.5 Transients -- introductory remarks -- 2.6 Characteristic-based methods -- 2.7 Taylor -- Galerkin procedures for scalar variables -- 2.8 Steady-state condition -- 2.9 Non-linear waves and shocks -- 2.10 Treatment of pure convection -- 2.11 Boundary conditions for convection -- diffusion -- 2.12 Summary and concluding remarks -- References -- 3 The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow -- 3.1 Introduction -- 3.2 Non-dimensional form of the governing equations -- 3.3 Characteristic-based split (CBS) algorithm -- 3.4 Explicit, semi-implicit and nearly implicit forms -- 3.5 Artificial compressibility and dual time stepping -- 3.6 'Circumvention' of the Babu ka -- Brezzi (BB) restrictions -- 3.7 A single-step version -- 3.8 Boundary conditions -- 3.9 The performance of two-step and one-step algorithms on an inviscid problem -- 3.10 Concluding remarks -- References -- 4 Incompressible Newtonian laminar flows -- 4.1 Introduction and the basic equations -- 4.2 Use of the CBS algorithm for incompressible flows -- 4.3 Adaptive mesh refinement -- 4.4 Adaptive mesh generation for transient problems -- 4.5 Slow flows -- mixed and penalty formulations -- 4.6 Concluding remarks -- References -- 5 Incompressible non-Newtonian flows -- 5.1 Introduction -- 5.2 Non-Newtonian flows -- metal and polymer forming -- 5.3 Viscoelastic flows -- 5.4 Direct displacement approach to transient metal forming -- 5.5 Concluding remarks -- References -- 6 Free surface and buoyancy driven flows -- 6.1 Introduction -- 6.2 Free surface flows -- 6.3 Buoyancy driven flows -- 6.4 Concluding remarks -- References -- 7 Compressible high-speed gas flow -- 7.1 Introduction -- 7.2 The governing equations -- 7.3 Boundary conditions -- subsonic and supersonic flow -- 7.4 Numerical approximations and the CBS algorithm -- 7.5 Shock capture -- 7.6 Variable smoothing -- 7.7 Some preliminary examples for the Euler equation -- 7.8 Adaptive refinement and shock capture in Euler problems -- tidtid6389
Control code
190810840
Dimensions
unknown
Edition
6th ed.
Extent
1 online resource (xii, 435 pages)
Form of item
online
Isbn
9780750663229
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)190810840
Label
The finite element method for fluid dynamics, O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu
Publication
Note
  • Previous edition: 2000
  • "In the present edition we retain the three volume format of the fifth edition but have decided not to pursue the course of having three contiguous volumes -- rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others ... The first volume is renamed The Finite Element Method: Its Basis and Foundamentals ... In [the second] volume we consider more advanced problems in solid and structural mechanics while in a third volume we consider applications in fluid dynamics"--Preface
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Cover -- Contents -- Preface -- Acknowledgements -- 1 Introduction to the equations of fluid dynamics and the finite element approximation -- 1.1 General remarks and classification of fluid dynamics problems discussed in this book -- 1.2 The governing equations of fluid dynamics -- 1.3 Inviscid, incompressible flow -- 1.4 Incompressible (or nearly incompressible) flows -- 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation -- 1.6 Concluding remarks -- References -- 2 Convection dominated problems -- finite element approximations to the convection-diffusion-reaction equation -- 2.1 Introduction -- 2.2 The steady-state problem in one dimension -- 2.3 The steady-state problem in two (or three) dimensions -- 2.4 Steady state -- concluding remarks -- 2.5 Transients -- introductory remarks -- 2.6 Characteristic-based methods -- 2.7 Taylor -- Galerkin procedures for scalar variables -- 2.8 Steady-state condition -- 2.9 Non-linear waves and shocks -- 2.10 Treatment of pure convection -- 2.11 Boundary conditions for convection -- diffusion -- 2.12 Summary and concluding remarks -- References -- 3 The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow -- 3.1 Introduction -- 3.2 Non-dimensional form of the governing equations -- 3.3 Characteristic-based split (CBS) algorithm -- 3.4 Explicit, semi-implicit and nearly implicit forms -- 3.5 Artificial compressibility and dual time stepping -- 3.6 'Circumvention' of the Babu ka -- Brezzi (BB) restrictions -- 3.7 A single-step version -- 3.8 Boundary conditions -- 3.9 The performance of two-step and one-step algorithms on an inviscid problem -- 3.10 Concluding remarks -- References -- 4 Incompressible Newtonian laminar flows -- 4.1 Introduction and the basic equations -- 4.2 Use of the CBS algorithm for incompressible flows -- 4.3 Adaptive mesh refinement -- 4.4 Adaptive mesh generation for transient problems -- 4.5 Slow flows -- mixed and penalty formulations -- 4.6 Concluding remarks -- References -- 5 Incompressible non-Newtonian flows -- 5.1 Introduction -- 5.2 Non-Newtonian flows -- metal and polymer forming -- 5.3 Viscoelastic flows -- 5.4 Direct displacement approach to transient metal forming -- 5.5 Concluding remarks -- References -- 6 Free surface and buoyancy driven flows -- 6.1 Introduction -- 6.2 Free surface flows -- 6.3 Buoyancy driven flows -- 6.4 Concluding remarks -- References -- 7 Compressible high-speed gas flow -- 7.1 Introduction -- 7.2 The governing equations -- 7.3 Boundary conditions -- subsonic and supersonic flow -- 7.4 Numerical approximations and the CBS algorithm -- 7.5 Shock capture -- 7.6 Variable smoothing -- 7.7 Some preliminary examples for the Euler equation -- 7.8 Adaptive refinement and shock capture in Euler problems -- tidtid6389
Control code
190810840
Dimensions
unknown
Edition
6th ed.
Extent
1 online resource (xii, 435 pages)
Form of item
online
Isbn
9780750663229
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)190810840

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