The finite element method for fluid dynamics /:
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Saved in:
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|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford ; Boston :
Elsevier Butterworth-Heinemann,
2005.
|
| Edition: | 6th ed. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Annotation |
| Item Description: | 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. |
| Physical Description: | 1 online resource (xii, 435 pages :) |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: | 008045559X 9780080455594 |
Staff View
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| 245 | 1 | 4 | |a The finite element method for fluid dynamics / |c O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu. |
| 250 | |a 6th ed. | ||
| 260 | |a Oxford ; |a Boston : |b Elsevier Butterworth-Heinemann, |c 2005. | ||
| 300 | |a 1 online resource (xii, 435 pages :) | ||
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| 500 | |a "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. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | 8 | |a Annotation |b 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 scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. | |
| 650 | 0 | |a Finite element method. |0 http://id.loc.gov/authorities/subjects/sh85048349 | |
| 650 | 0 | |a Mechanics, Applied. |0 http://id.loc.gov/authorities/subjects/sh85082769 | |
| 650 | 0 | |a Fluid dynamics. |0 http://id.loc.gov/authorities/subjects/sh85049376 | |
| 650 | 2 | |a Hydrodynamics |0 https://id.nlm.nih.gov/mesh/D057446 | |
| 650 | 6 | |a Méthode des éléments finis. | |
| 650 | 6 | |a Mécanique appliquée. | |
| 650 | 6 | |a Dynamique des fluides. | |
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| 700 | 1 | |a Nithiarasu, Perumal. | |
| 700 | 1 | |a Zienkiewicz, O. C. |t Finite element method: its basis and fundamentals. | |
| 700 | 1 | |a Zienkiewicz, O. C. |t Finite element method for solid and structural mechanics. | |
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| 776 | 0 | 8 | |i Print version: |a Zienkiewicz, O.C. |t Finite element method for fluid dynamics. |b 6th ed. |d Oxford ; Boston : Elsevier Butterworth-Heinemann, 2005 |z 0750663227 |w (OCoLC)63266990 |
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| 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. |
| ctrlnum | (OCoLC)76970798 |
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| edition | 6th ed. |
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| id | ZDB-4-EBA-ocm76970798 |
| illustrated | Illustrated |
| indexdate | 2025-03-18T14:14:13Z |
| institution | BVB |
| isbn | 008045559X 9780080455594 |
| language | English |
| oclc_num | 76970798 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 435 pages :) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Elsevier Butterworth-Heinemann, |
| record_format | marc |
| spelling | Zienkiewicz, O. C. The finite element method for fluid dynamics / O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu. 6th ed. Oxford ; Boston : Elsevier Butterworth-Heinemann, 2005. 1 online resource (xii, 435 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. Includes bibliographical references and indexes. Print version record. 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. Annotation 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 scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Mechanics, Applied. http://id.loc.gov/authorities/subjects/sh85082769 Fluid dynamics. http://id.loc.gov/authorities/subjects/sh85049376 Hydrodynamics https://id.nlm.nih.gov/mesh/D057446 Méthode des éléments finis. Mécanique appliquée. Dynamique des fluides. TECHNOLOGY & ENGINEERING Structural. bisacsh Finite element method fast Fluid dynamics fast Mechanics, Applied fast Taylor, Robert L. (Robert Leroy), 1934- https://id.oclc.org/worldcat/entity/E39PCjyh39hqXDGXvhwgyHyw4q http://id.loc.gov/authorities/names/n94023604 Nithiarasu, Perumal. Zienkiewicz, O. C. Finite element method: its basis and fundamentals. Zienkiewicz, O. C. Finite element method for solid and structural mechanics. has work: The finite element method V. 1 (Text) https://id.oclc.org/worldcat/entity/E39PD36yvBGD8R8pMXPtjh6Td3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Zienkiewicz, O.C. Finite element method for fluid dynamics. 6th ed. Oxford ; Boston : Elsevier Butterworth-Heinemann, 2005 0750663227 (OCoLC)63266990 |
| spellingShingle | Zienkiewicz, O. C. The finite element method for fluid dynamics / 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. Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Mechanics, Applied. http://id.loc.gov/authorities/subjects/sh85082769 Fluid dynamics. http://id.loc.gov/authorities/subjects/sh85049376 Hydrodynamics https://id.nlm.nih.gov/mesh/D057446 Méthode des éléments finis. Mécanique appliquée. Dynamique des fluides. TECHNOLOGY & ENGINEERING Structural. bisacsh Finite element method fast Fluid dynamics fast Mechanics, Applied fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048349 http://id.loc.gov/authorities/subjects/sh85082769 http://id.loc.gov/authorities/subjects/sh85049376 https://id.nlm.nih.gov/mesh/D057446 |
| title | The finite element method for fluid dynamics / |
| title_alt | Finite element method: its basis and fundamentals. Finite element method for solid and structural mechanics. |
| title_auth | The finite element method for fluid dynamics / |
| title_exact_search | The finite element method for fluid dynamics / |
| title_full | The finite element method for fluid dynamics / O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu. |
| title_fullStr | The finite element method for fluid dynamics / O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu. |
| title_full_unstemmed | The finite element method for fluid dynamics / O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu. |
| title_short | The finite element method for fluid dynamics / |
| title_sort | finite element method for fluid dynamics |
| topic | Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Mechanics, Applied. http://id.loc.gov/authorities/subjects/sh85082769 Fluid dynamics. http://id.loc.gov/authorities/subjects/sh85049376 Hydrodynamics https://id.nlm.nih.gov/mesh/D057446 Méthode des éléments finis. Mécanique appliquée. Dynamique des fluides. TECHNOLOGY & ENGINEERING Structural. bisacsh Finite element method fast Fluid dynamics fast Mechanics, Applied fast |
| topic_facet | Finite element method. Mechanics, Applied. Fluid dynamics. Hydrodynamics Méthode des éléments finis. Mécanique appliquée. Dynamique des fluides. TECHNOLOGY & ENGINEERING Structural. Finite element method Fluid dynamics Mechanics, Applied |
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