Statistical Theory and Modeling for Turbulent Flows
(Sprache: Englisch)
Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to...
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Klappentext zu „Statistical Theory and Modeling for Turbulent Flows “
Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to become a knowledgeable user of turbulence models; it develops analytical tools for developers of predictive tools. Thoroughly revised and updated, this second edition includes a new fourth section covering DNS (direct numerical simulation), LES (large eddy simulation), DES (detached eddy simulation) and numerical aspects of eddy resolving simulation.In addition to its role as a guide for students, Statistical Theory and Modeling for Turbulent Flows also is a valuable reference for practicing engineers and scientists in computational and experimental fluid dynamics, who would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation.
* Provides an excellent foundation to the fundamental theoretical concepts in turbulence.
* Features new and heavily revised material, including an entire new section on eddy resolving simulation.
* Includes new material on modeling laminar to turbulent transition.
* Written for students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences.
* Accompanied by a website housing solutions to the problems within the book.
Fully updated to include computational modelling Statistical Theory and Modeling for Turbulent Flows offers a thorough grounding in the subject of turbulence that is unavailable elsewhere in a single text, developing both the physical insight and the mathematical framework needed to express the theory. This solid foundation will enable the student to become a knowledgeable developer of predictive tools; it also represents an invaluable reference for practising engineers and scientists in computational and experimental fluid dynamics who have practical experience but would like to broaden their understanding of fundamental issues in turbulence and how they relate to turbulence model implementation.
- Provides an excellent foundation to the fundamental theoretical concepts in turbulence.
- Features 30% new or heavily revised material, including a new fourth section on DNS (direct numerical simulation), LES (large eddy simulation) and DES (detached eddy simulation) addressing some of the key issues, covering pertinent numerical concepts and providing sufficient technical content for the reader to acquire a reasonable depth of knowledge
- Includes new material on the role of commercial CFD software, as well as to open source and research codes.
- Applicable to students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences
- Provides an excellent foundation to the fundamental theoretical concepts in turbulence.
- Features 30% new or heavily revised material, including a new fourth section on DNS (direct numerical simulation), LES (large eddy simulation) and DES (detached eddy simulation) addressing some of the key issues, covering pertinent numerical concepts and providing sufficient technical content for the reader to acquire a reasonable depth of knowledge
- Includes new material on the role of commercial CFD software, as well as to open source and research codes.
- Applicable to students and practitioners in aeronautical and mechanical engineering, applied mathematics and the physical sciences
Inhaltsverzeichnis zu „Statistical Theory and Modeling for Turbulent Flows “
Preface.Preface to second edition.
Preface to first edition.
Motivation.
Epitome.
Acknowledgements.
Part I FUNDAMENTALS OF TURBULENCE.
1 Introduction.
1.1 The turbulence problem.
1.2 Closure modeling.
1.3 Categories of turbulent flow.
Exercises.
2 Mathematical and statistical background.
2.1 Dimensional analysis.
2.1.1 Scales of turbulence.
2.2 Statistical tools.
2.2.1 Averages and probability density functions.
2.2.2 Correlations.
2.3 Cartesian tensors.
2.3.1 Isotropic tensors.
2.3.2 Tensor functions of tensors; Cayley-Hamilton theorem.
Exercises.
3 Reynolds averaged Navier-Stokes equations.
3.1 Background to the equations.
3.2 Reynolds averaged equations.
3.3 Terms of kinetic energy and Reynolds stress budgets.
3.4 Passive contaminant transport.
Exercises.
4 Parallel and self-similar shear flows.
4.1 Plane channel flow.
4.1.1 Logarithmic layer.
4.1.2 Roughness.
4.2 Boundary layer.
4.2.1 Entrainment.
4.3 Free-shear layers.
4.3.1 Spreading rates.
4.3.2 Remarks on self-similar boundary layers.
4.4 Heat and mass transfer.
4.4.1 Parallel flow and boundary layers.
4.4.2 Dispersion from elevated sources.
Exercises.
5 Vorticity and vortical structures.
5.1 Structures.
5.1.1 Free-shear layers.
5.1.2 Boundary layers.
5.1.3 Non-random vortices.
5.2 Vorticity and dissipation.
5.2.1 Vortex stretching and relative dispersion.
5.2.2 Mean-squared vorticity equation.
Exercises.
Part II SINGLE-POINT CLOSURE MODELING.
6 Models with scalar variables.
6.1 Boundary-layer methods.
6.1.1 Integral boundary-layer
... mehr
methods.
6.1.2 Mixing length model.
6.2 The k -µ model.
6.2.1 Analytical solutions to the k -µ model.
6.2.2 Boundary conditions and near-wall modifications.
6.2.3 Weak solution at edges of free-shear flow; free-stream sensitivity.
6.3 The k -É model.
6.4 Stagnation-point anomaly.
6.5 The question of transition.
6.5.1 Reliance on the turbulence model.
6.5.2 Intermittency equation.
6.5.3 Laminar fluctuations.
6.6 Eddy viscosity transport models.
Exercises.
7 Models with tensor variables.
7.1 Second-moment transport.
7.1.1 A simple illustration.
7.1.2 Closing the Reynolds stress transport equation.
7.1.3 Models for the slow part.
7.1.4 Models for the rapid part.
7.2 Analytic solutions to SMC models.
7.2.1 Homogeneous shear flow.
7.2.2 Curved shear flow.
7.2.3 Algebraic stress approximation and nonlinear eddy viscosity.
7.3 Non-homogeneity.
7.3.1 Turbulent transport.
7.3.2 Near-wall modeling.
7.3.3 No-slip condition.
7.3.4 Nonlocal wall effects.
7.4 Reynolds averaged computation.
7.4.1 Numerical issues.
7.4.2 Examples of Reynolds averaged computation.
Exercises.
8 Advanced topics.
8.1 Further modeling principles.
8.1.1 Galilean invariance and frame rotation.
8.1.2 Realizability.
8.2 Second-moment closure and Langevin equations.
8.3 Moving equilibrium solutions of SMC.
6.1.2 Mixing length model.
6.2 The k -µ model.
6.2.1 Analytical solutions to the k -µ model.
6.2.2 Boundary conditions and near-wall modifications.
6.2.3 Weak solution at edges of free-shear flow; free-stream sensitivity.
6.3 The k -É model.
6.4 Stagnation-point anomaly.
6.5 The question of transition.
6.5.1 Reliance on the turbulence model.
6.5.2 Intermittency equation.
6.5.3 Laminar fluctuations.
6.6 Eddy viscosity transport models.
Exercises.
7 Models with tensor variables.
7.1 Second-moment transport.
7.1.1 A simple illustration.
7.1.2 Closing the Reynolds stress transport equation.
7.1.3 Models for the slow part.
7.1.4 Models for the rapid part.
7.2 Analytic solutions to SMC models.
7.2.1 Homogeneous shear flow.
7.2.2 Curved shear flow.
7.2.3 Algebraic stress approximation and nonlinear eddy viscosity.
7.3 Non-homogeneity.
7.3.1 Turbulent transport.
7.3.2 Near-wall modeling.
7.3.3 No-slip condition.
7.3.4 Nonlocal wall effects.
7.4 Reynolds averaged computation.
7.4.1 Numerical issues.
7.4.2 Examples of Reynolds averaged computation.
Exercises.
8 Advanced topics.
8.1 Further modeling principles.
8.1.1 Galilean invariance and frame rotation.
8.1.2 Realizability.
8.2 Second-moment closure and Langevin equations.
8.3 Moving equilibrium solutions of SMC.
... weniger
Bibliographische Angaben
- Autoren: Paul P. Durbin , Bjørn Anders B. Pettersson Reif
- 2010, 2. Aufl., 344 Seiten, Maße: 17,3 x 24,7 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0470689315
- ISBN-13: 9780470689318
- Erscheinungsdatum: 11.12.2010
Sprache:
Englisch
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