{"product_id":"statistical-theory-and-modelin-9780470689318","title":"Statistical Theory and Modelin","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eStatistical 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePreface.\u003c\/b\u003e  \u003cp\u003ePreface to second edition.\u003c\/p\u003e \u003cp\u003ePreface to first edition.\u003c\/p\u003e \u003cp\u003eMotivation.\u003c\/p\u003e \u003cp\u003eEpitome.\u003c\/p\u003e \u003cp\u003eAcknowledgements.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I FUNDAMENTALS OF TURBULENCE.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 Introduction.\u003c\/p\u003e \u003cp\u003e1.1 The turbulence problem.\u003c\/p\u003e \u003cp\u003e1.2 Closure modeling.\u003c\/p\u003e \u003cp\u003e1.3 Categories of turbulent flow.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mathematical and statistical background.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Dimensional analysis.\u003c\/p\u003e \u003cp\u003e2.1.1 Scales of turbulence.\u003c\/p\u003e \u003cp\u003e2.2 Statistical tools.\u003c\/p\u003e \u003cp\u003e2.2.1 Averages and probability density functions.\u003c\/p\u003e \u003cp\u003e2.2.2 Correlations.\u003c\/p\u003e \u003cp\u003e2.3 Cartesian tensors.\u003c\/p\u003e \u003cp\u003e2.3.1 Isotropic tensors.\u003c\/p\u003e \u003cp\u003e2.3.2 Tensor functions of tensors; Cayley–Hamilton theorem.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Reynolds averaged Navier–Stokes equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Background to the equations.\u003c\/p\u003e \u003cp\u003e3.2 Reynolds averaged equations.\u003c\/p\u003e \u003cp\u003e3.3 Terms of kinetic energy and Reynolds stress budgets.\u003c\/p\u003e \u003cp\u003e3.4 Passive contaminant transport.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Parallel and self-similar shear flows.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Plane channel flow.\u003c\/p\u003e \u003cp\u003e4.1.1 Logarithmic layer.\u003c\/p\u003e \u003cp\u003e4.1.2 Roughness.\u003c\/p\u003e \u003cp\u003e4.2 Boundary layer.\u003c\/p\u003e \u003cp\u003e4.2.1 Entrainment.\u003c\/p\u003e \u003cp\u003e4.3 Free-shear layers.\u003c\/p\u003e \u003cp\u003e4.3.1 Spreading rates.\u003c\/p\u003e \u003cp\u003e4.3.2 Remarks on self-similar boundary layers.\u003c\/p\u003e \u003cp\u003e4.4 Heat and mass transfer.\u003c\/p\u003e \u003cp\u003e4.4.1 Parallel flow and boundary layers.\u003c\/p\u003e \u003cp\u003e4.4.2 Dispersion from elevated sources.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Vorticity and vortical structures.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Structures.\u003c\/p\u003e \u003cp\u003e5.1.1 Free-shear layers.\u003c\/p\u003e \u003cp\u003e5.1.2 Boundary layers.\u003c\/p\u003e \u003cp\u003e5.1.3 Non-random vortices.\u003c\/p\u003e \u003cp\u003e5.2 Vorticity and dissipation.\u003c\/p\u003e \u003cp\u003e5.2.1 Vortex stretching and relative dispersion.\u003c\/p\u003e \u003cp\u003e5.2.2 Mean-squared vorticity equation.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II SINGLE-POINT CLOSURE MODELING.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Models with scalar variables.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Boundary-layer methods.\u003c\/p\u003e \u003cp\u003e6.1.1 Integral boundary-layer methods.\u003c\/p\u003e \u003cp\u003e6.1.2 Mixing length model.\u003c\/p\u003e \u003cp\u003e6.2 The \u003ci\u003ek\u003c\/i\u003e –\u003ci\u003eε\u003c\/i\u003e model.\u003c\/p\u003e \u003cp\u003e6.2.1 Analytical solutions to the \u003ci\u003ek\u003c\/i\u003e –\u003ci\u003eε\u003c\/i\u003e model.\u003c\/p\u003e \u003cp\u003e6.2.2 Boundary conditions and near-wall modifications.\u003c\/p\u003e \u003cp\u003e6.2.3 Weak solution at edges of free-shear flow; free-stream sensitivity.\u003c\/p\u003e \u003cp\u003e6.3 The \u003ci\u003ek\u003c\/i\u003e –\u003ci\u003eω\u003c\/i\u003e model.\u003c\/p\u003e \u003cp\u003e6.4 Stagnation-point anomaly.\u003c\/p\u003e \u003cp\u003e6.5 The question of transition.\u003c\/p\u003e \u003cp\u003e6.5.1 Reliance on the turbulence model.\u003c\/p\u003e \u003cp\u003e6.5.2 Intermittency equation.\u003c\/p\u003e \u003cp\u003e6.5.3 Laminar fluctuations.\u003c\/p\u003e \u003cp\u003e6.6 Eddy viscosity transport models.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Models with tensor variables.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Second-moment transport.\u003c\/p\u003e \u003cp\u003e7.1.1 A simple illustration.\u003c\/p\u003e \u003cp\u003e7.1.2 Closing the Reynolds stress transport equation.\u003c\/p\u003e \u003cp\u003e7.1.3 Models for the slow part.\u003c\/p\u003e \u003cp\u003e7.1.4 Models for the rapid part.\u003c\/p\u003e \u003cp\u003e7.2 Analytic solutions to SMC models.\u003c\/p\u003e \u003cp\u003e7.2.1 Homogeneous shear flow.\u003c\/p\u003e \u003cp\u003e7.2.2 Curved shear flow.\u003c\/p\u003e \u003cp\u003e7.2.3 Algebraic stress approximation and nonlinear eddy viscosity.\u003c\/p\u003e \u003cp\u003e7.3 Non-homogeneity.\u003c\/p\u003e \u003cp\u003e7.3.1 Turbulent transport.\u003c\/p\u003e \u003cp\u003e7.3.2 Near-wall modeling.\u003c\/p\u003e \u003cp\u003e7.3.3 No-slip condition.\u003c\/p\u003e \u003cp\u003e7.3.4 Nonlocal wall effects.\u003c\/p\u003e \u003cp\u003e7.4 Reynolds averaged computation.\u003c\/p\u003e \u003cp\u003e7.4.1 Numerical issues.\u003c\/p\u003e \u003cp\u003e7.4.2 Examples of Reynolds averaged computation.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Advanced topics.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Further modeling principles.\u003c\/p\u003e \u003cp\u003e8.1.1 Galilean invariance and frame rotation.\u003c\/p\u003e \u003cp\u003e8.1.2 Realizability.\u003c\/p\u003e \u003cp\u003e8.2 Second-moment closure and Langevin equations.\u003c\/p\u003e \u003cp\u003e8.3 Moving equilibrium solutions of SMC.\u003c\/p\u003e \u003cp\u003e8.3.1 Criterion for steady mean flow.\u003c\/p\u003e \u003cp\u003e8.3.2 Solution in two-dimensional mean flow.\u003c\/p\u003e \u003cp\u003e8.3.3 Bifurcations.\u003c\/p\u003e \u003cp\u003e8.4 Passive scalar flux modeling.\u003c\/p\u003e \u003cp\u003e8.4.1 Scalar diffusivity models.\u003c\/p\u003e \u003cp\u003e8.4.2 Tensor diffusivity models.\u003c\/p\u003e \u003cp\u003e8.4.3 Scalar flux transport.\u003c\/p\u003e \u003cp\u003e8.4.4 Scalar variance.\u003c\/p\u003e \u003cp\u003e8.5 Active scalar flux modeling: effects of buoyancy.\u003c\/p\u003e \u003cp\u003e8.5.1 Second-moment transport models.\u003c\/p\u003e \u003cp\u003e8.5.2 Stratified shear flow.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III THEORY OF HOMOGENEOUS TURBULENCE.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Mathematical representations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Fourier transforms.\u003c\/p\u003e \u003cp\u003e9.2 Three-dimensional energy spectrum of homogeneous turbulence.\u003c\/p\u003e \u003cp\u003e9.2.1 Spectrum tensor and velocity covariances.\u003c\/p\u003e \u003cp\u003e9.2.2 Modeling the energy spectrum.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Navier–Stokes equations in spectral space.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Convolution integrals as triad interaction.\u003c\/p\u003e \u003cp\u003e10.2 Evolution of spectra.\u003c\/p\u003e \u003cp\u003e10.2.1 Small-\u003ci\u003ek\u003c\/i\u003e behavior and energy decay.\u003c\/p\u003e \u003cp\u003e10.2.2 Energy cascade.\u003c\/p\u003e \u003cp\u003e10.2.3 Final period of decay.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Rapid distortion theory.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Irrotational mean flow.\u003c\/p\u003e \u003cp\u003e11.1.1 Cauchy form of vorticity equation.\u003c\/p\u003e \u003cp\u003e11.1.2 Distortion of a Fourier mode.\u003c\/p\u003e \u003cp\u003e11.1.3 Calculation of covariances.\u003c\/p\u003e \u003cp\u003e11.2 General homogeneous distortions.\u003c\/p\u003e \u003cp\u003e11.2.1 Homogeneous shear.\u003c\/p\u003e \u003cp\u003e11.2.2 Turbulence near a wall.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV TURBULENCE SIMULATION.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Eddy-resolving simulation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Direct numerical simulation.\u003c\/p\u003e \u003cp\u003e12.1.1 Grid requirements.\u003c\/p\u003e \u003cp\u003e12.1.2 Numerical dissipation.\u003c\/p\u003e \u003cp\u003e12.1.3 Energy-conserving schemes.\u003c\/p\u003e \u003cp\u003e12.2 Illustrations.\u003c\/p\u003e \u003cp\u003e12.3 Pseudo-spectral method.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Simulation of large eddies.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Large eddy simulation.\u003c\/p\u003e \u003cp\u003e13.1.1 Filtering.\u003c\/p\u003e \u003cp\u003e13.1.2 Subgrid models.\u003c\/p\u003e \u003cp\u003e13.2 Detached eddy simulation.\u003c\/p\u003e \u003cp\u003eExercises.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex.\u003c\/b\u003e\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default 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