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The finite element method for fluid dynamics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics / / O.C. Zienkiewicz, CBE, FRS, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz Olek C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014 |
| Descrizione fisica | 1 online resource (xxxvi, 544 pages) |
| Disciplina | 620.10601515353 |
| Altri autori (Persone) |
TaylorR. L
NithiarasuP |
| Soggetto topico |
Structural analysis (Engineering)
Continuum mechanics Finite element method |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-08-095137-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910453494103321 |
Zienkiewicz Olek C
|
||
| Amsterdam : , : Elsevier/Butterworth-Heinemann, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for fluid dynamics / / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics / / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz Olek C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2014 |
| Descrizione fisica | 1 online resource (xxxvi, 544 pages) : illustrations (some color) |
| Disciplina | 620.10601515353 |
| Collana | Gale eBooks |
| Soggetto topico |
Finite element method
Fluid dynamics Fluid dynamics - Mathematical models |
| ISBN | 0-08-095137-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to the equations of fluid dynamics and the finite element approximation -- Convection-dominated problems : finite element approximations to the convection-diffusion-reaction equation -- The characteristic-based split (CBS) algorithm : a general procedure for compressible and incompressible flow -- Incompressible Newtonian laminar flows -- Incompressible non-Newtonian flows -- Free surface and buoyancy driven flows -- Compressible high-speed gas flow -- Turbulent flows -- Generalized flow and heat transfer in porous media -- Shallow-water problems -- Long and medium waves -- Short waves -- Fluid-structure interaction -- Biofluid dynamics -- Computer implementation of the CBS algorithm. |
| Record Nr. | UNINA-9910790854103321 |
|
Zienkiewicz Olek C
|
||
| Oxford : , : Butterworth-Heinemann, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for fluid dynamics / / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics / / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz Olek C |
| Edizione | [Seventh edition.] |
| Pubbl/distr/stampa | Oxford : , : Butterworth-Heinemann, , 2014 |
| Descrizione fisica | 1 online resource (xxxvi, 544 pages) : illustrations (some color) |
| Disciplina | 620.10601515353 |
| Collana | Gale eBooks |
| Soggetto topico |
Finite element method
Fluid dynamics Fluid dynamics - Mathematical models |
| ISBN | 0-08-095137-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to the equations of fluid dynamics and the finite element approximation -- Convection-dominated problems : finite element approximations to the convection-diffusion-reaction equation -- The characteristic-based split (CBS) algorithm : a general procedure for compressible and incompressible flow -- Incompressible Newtonian laminar flows -- Incompressible non-Newtonian flows -- Free surface and buoyancy driven flows -- Compressible high-speed gas flow -- Turbulent flows -- Generalized flow and heat transfer in porous media -- Shallow-water problems -- Long and medium waves -- Short waves -- Fluid-structure interaction -- Biofluid dynamics -- Computer implementation of the CBS algorithm. |
| Record Nr. | UNINA-9910807756103321 |
|
Zienkiewicz Olek C
|
||
| Oxford : , : Butterworth-Heinemann, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz O. C |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 620.10601515353 |
| Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
NithiarasuPerumal ZienkiewiczO. C |
| Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-63895-8
9786610638956 0-08-045559-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 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
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 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 ReferencesChapter 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 Babuška-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 Chapter 4. Incompressible Newtonian laminar flows4.1 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; Chapter 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 Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 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; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
| Record Nr. | UNINA-9910457669703321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz O. C |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 620.10601515353 |
| Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
NithiarasuPerumal ZienkiewiczO. C |
| Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
| ISBN |
1-280-63895-8
9786610638956 0-08-045559-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 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
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 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 ReferencesChapter 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 Babuška-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 Chapter 4. Incompressible Newtonian laminar flows4.1 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; Chapter 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 Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 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; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
| Record Nr. | UNINA-9910784446803321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu
| The finite element method for fluid dynamics [[electronic resource] /] / O.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu |
| Autore | Zienkiewicz O. C |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 620.10601515353 |
| Altri autori (Persone) |
TaylorRobert L <1934-> (Robert Leroy)
NithiarasuPerumal ZienkiewiczO. C |
| Soggetto topico |
Finite element method
Mechanics, Applied Fluid dynamics |
| ISBN |
1-280-63895-8
9786610638956 0-08-045559-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 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
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 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 ReferencesChapter 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 Babuška-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 Chapter 4. Incompressible Newtonian laminar flows4.1 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; Chapter 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 Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 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; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
| Record Nr. | UNINA-9910815968403321 |
|
Zienkiewicz O. C
|
||
| Amsterdam ; ; Boston, : Elsevier Butterworth-Heinemann, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Finite Element Method Set [[electronic resource]]
| The Finite Element Method Set [[electronic resource]] |
| Autore | Zienkiewicz O. C. <1921-2009> |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Burlington, : Elsevier Science, 2005 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina |
515
620.10601515353 |
| Altri autori (Persone) | TaylorRobert L <1934-> (Robert Leroy) |
| Soggetto topico |
Mathematical analysis
Civil Engineering Civil & Environmental Engineering Engineering & Applied Sciences |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-38134-2
9786612381348 0-08-053167-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 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
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 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 ReferencesChapter 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 Babuška-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 Chapter 4. Incompressible Newtonian laminar flows4.1 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; Chapter 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 Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 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; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
| Record Nr. | UNINA-9910458250703321 |
|
Zienkiewicz O. C. <1921-2009>
|
||
| Burlington, : Elsevier Science, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Finite Element Method Set [[electronic resource]]
| The Finite Element Method Set [[electronic resource]] |
| Autore | Zienkiewicz O. C. <1921-2009> |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Burlington, : Elsevier Science, 2005 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina |
515
620.10601515353 |
| Altri autori (Persone) | TaylorRobert L <1934-> (Robert Leroy) |
| Soggetto topico |
Mathematical analysis
Civil Engineering Civil & Environmental Engineering Engineering & Applied Sciences |
| ISBN |
1-282-38134-2
9786612381348 0-08-053167-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 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
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 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 ReferencesChapter 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 Babuška-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 Chapter 4. Incompressible Newtonian laminar flows4.1 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; Chapter 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 Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 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; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
| Record Nr. | UNINA-9910784638703321 |
|
Zienkiewicz O. C. <1921-2009>
|
||
| Burlington, : Elsevier Science, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Finite Element Method Set [[electronic resource]]
| The Finite Element Method Set [[electronic resource]] |
| Autore | Zienkiewicz O. C. <1921-2009> |
| Edizione | [6th ed.] |
| Pubbl/distr/stampa | Burlington, : Elsevier Science, 2005 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina |
515
620.10601515353 |
| Altri autori (Persone) | TaylorRobert L <1934-> (Robert Leroy) |
| Soggetto topico |
Mathematical analysis
Civil Engineering Civil & Environmental Engineering Engineering & Applied Sciences |
| ISBN |
1-282-38134-2
9786612381348 0-08-053167-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 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
Chapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 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 ReferencesChapter 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 Babuška-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 Chapter 4. Incompressible Newtonian laminar flows4.1 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; Chapter 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 Chapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 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; 7.9 Three-dimensional inviscid examples in steady state 7.10 Transient two- and three-dimensional problems |
| Record Nr. | UNINA-9910822008003321 |
|
Zienkiewicz O. C. <1921-2009>
|
||
| Burlington, : Elsevier Science, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||