Paul P. Durbin, Bjørn Anders B. Pettersson Reif

Statistical Theory and Modelin

• Gebundenes Buch

Produktbeschreibung

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.

---

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.

Produktdetails

• Verlag: Wiley & Sons
• 2. Aufl.
• Seitenzahl: 376
• Erscheinungstermin: 25. Oktober 2010
• Englisch
• Abmessung: 250mm x 175mm x 25mm
• Gewicht: 794g
• ISBN-13: 9780470689318
• ISBN-10: 0470689315
• Artikelnr.: 30589416

Autorenporträt

P. A. Durbin, Stanford University, USA and B. A. Pettersson Reif, Norwegian Defence Research Establishment, Norway Paul Durbin is a research professor within the flow physics and computational engineering department at Stanford University. He and his students carry out computational and modeling research on turbulent and transitional flows, exploring new analytical formulations and testing models in a wide range of applications with the practical aim of improving existing methods for computing engineering flows. Björn Anders Pettersson Reif spent 4 years post-doc working as an R&D engineer at Kongsberg Defence and Aerospace (Norway) until he started his present position as a senior scientist at the Norwegian Defence Research Establishment. He was also appointed Adjunct Professor in Turbulence Modeling between 2003 and 2009. His research has mainly been dedicated to numerical fluid mechanics, turbulence physics and single-point turbulence modeling.

Inhaltsangabe

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 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. 8.3.1 Criterion for steady mean flow. 8.3.2 Solution in
two-dimensional mean flow. 8.3.3 Bifurcations. 8.4 Passive scalar flux
modeling. 8.4.1 Scalar diffusivity models. 8.4.2 Tensor diffusivity models.
8.4.3 Scalar flux transport. 8.4.4 Scalar variance. 8.5 Active scalar flux
modeling: effects of buoyancy. 8.5.1 Second-moment transport models. 8.5.2
Stratified shear flow. Exercises. Part III THEORY OF HOMOGENEOUS
TURBULENCE. 9 Mathematical representations. 9.1 Fourier transforms. 9.2
Three-dimensional energy spectrum of homogeneous turbulence. 9.2.1 Spectrum
tensor and velocity covariances. 9.2.2 Modeling the energy spectrum.
Exercises. 10 Navier-Stokes equations in spectral space. 10.1 Convolution
integrals as triad interaction. 10.2 Evolution of spectra. 10.2.1 Small-k
behavior and energy decay. 10.2.2 Energy cascade. 10.2.3 Final period of
decay. Exercises. 11 Rapid distortion theory. 11.1 Irrotational mean flow.
11.1.1 Cauchy form of vorticity equation. 11.1.2 Distortion of a Fourier
mode. 11.1.3 Calculation of covariances. 11.2 General homogeneous
distortions. 11.2.1 Homogeneous shear. 11.2.2 Turbulence near a wall.
Exercises. Part IV TURBULENCE SIMULATION. 12 Eddy-resolving simulation.
12.1 Direct numerical simulation. 12.1.1 Grid requirements. 12.1.2
Numerical dissipation. 12.1.3 Energy-conserving schemes. 12.2
Illustrations. 12.3 Pseudo-spectral method. Exercises. 13 Simulation of
large eddies. 13.1 Large eddy simulation. 13.1.1 Filtering. 13.1.2 Subgrid
models. 13.2 Detached eddy simulation. Exercises. References. Index.