Statistical Theory and Modeling for Turbulent Flows

P. A. Durbin 지음

Wiley 2011년 06월 28일 출간

작품소개

책소개

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 newand heavily revised material, including an entire new section on eddy resolving simulation.Includes new material onmodeling laminar to turbulent transition.Written forstudents 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.

목차

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 &~ε model.6.2.1 Analytical solutions to the k &~ε 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

작가정보

저자(글) P. A. Durbin