LEADER 05108oam 2200529 450 001 9910786965503321 005 20190911112724.0 010 $a1-84816-987-6 035 $a(OCoLC)844311107 035 $a(MiFhGG)GVRL8RFF 035 $a(EXLCZ)992670000000361805 100 $a20130821h20132013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aMultiscale and multiresolution approaches in turbulence $eLES, DES and hybrid RANS/LES methods : applications and guidelines /$fPierre Sagaut, Universite Pierre et Marie Curie-- Paris 6, France, Sebastien Deck, ONERA, France, Marc Terracol, ONERA, France 205 $a2nd ed. 210 $aLondon $cImperial College Press ;$aSingapore $cDistributed by World Scientific$dc2013 210 1$aLondon :$cImperial College Press,$d[2013] 210 4$d?2013 215 $a1 online resource (xviii, 427 pages) $cillustrations 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a1-84816-986-8 320 $aIncludes bibliographical references (p. 397-423) and index. 327 $aForeword to the Second Edition; Foreword to the First Edition; Contents; 1. A Brief Introduction to Turbulence; 1.1 Common Features of Turbulent Flows; 1.1.1 Introductory concepts; 1.1.2 Randomness and coherent structure in turbulent flows; 1.2 Turbulent Scales and Complexity of a Turbulent Field; 1.2.1 Basic equations of turbulent flow; 1.2.2 Defining turbulent scales; 1.2.3 A glimpse at numerical simulations of turbulent flows; 1.3 Inter-scale Coupling in Turbulent Flows; 1.3.1 The energy cascade; 1.3.2 Inter-scale interactions; 2. Turbulence Simulation and Scale Separation 327 $a2.1 Numerical Simulation of Turbulent Flows2.2 Reducing the Cost of the Simulations; 2.2.1 Scale separation; 2.2.2 Navier-Stokes-based equations for the resolved quantities; 2.2.3 Navier-Stokes-based equations for the unresolved quantities; 2.3 The Averaging Approach: Reynolds-Averaged Numerical Simulation (RANS); 2.3.1 Statistical average; 2.3.2 Reynolds-Averaged Navier-Stokes equations; 2.3.3 Phase-Averaged Navier-Stokes equations; 2.4 The Large-Eddy Simulation Approach (LES); 2.4.1 Large and small scales separation; 2.4.2 Filtered Navier-Stokes equations 327 $a2.5 Multilevel/Multire solution Methods2.5.1 Hierarchical multilevel decomposition; 2.5.2 Practical example: the multiscale/multilevel LES decomposition; 2.5.3 Associated Navier-Stokes-based equations; 2.5.4 Classification of existing multilevel methods; 2.5.4.1 Multilevel methods based on resolved-only wave numbers; 2.5.4.2 Multilevel methods based on higher wave numbers; 2.5.4.3 Adaptive multilevel methods; 2.6 Summary; 3. Statistical Multiscale Modelling; 3.1 General; 3.2 Exact Governing Equations for the Multiscale Problem; 3.2.1 Basic equations in physical and spectral space 327 $a3.2.2 The multiscale splitting3.2.3 Governing equations for band-integrated approaches; 3.3 Spectral Closures for Band-integrated Approaches; 3.3.1 Local versus non-local transfers; 3.3.2 Expression for the spectral fluxes; 3.3.3 Dynamic spectral splitting; 3.3.4 Turbulent diffusion terms; 3.3.5 Viscous dissipation term; 3.3.6 Pressure term; 3.4 A Few Multiscale Models for Band-integrated Approaches; 3.4.1 Multiscale Reynolds stress models; 3.4.2 Multiscale eddy viscosity models; 3.5 Spectral Closures for Local Approaches; 3.5.1 Local multiscale Reynolds stress models 327 $a3.5.1.1 Closures for the linear transfer term3.5.1.2 Closures for the linear pressure term; 3.5.1.3 Closures for the non-linear homogeneous transfer term; 3.5.1.4 Closures for the non-linear non-homogeneous transfer term; 3.5.2 Local multiscale eddy viscosity models; 3.6 Achievements and Open Issues; 4. Multiscale Subgrid Models: Self-adaptivity; 4.1 Fundamentals of Subgrid Modelling; 4.1.1 Functional and structural subgrid models; 4.1.2 The Gabor-Heisenberg curse; 4.2 Germano-type Dynamic Subgrid Models; 4.2.1 Germano identity; 4.2.1.1 Two-level multiplicative Germano identity 327 $a4.2.1.2 Multilevel Germano identity 330 $aThe book aims to provide the reader with an updated general presentation of multiscale/multiresolution approaches in turbulent flow simulations. All modern approaches (LES, hybrid RANS/LES, DES, SAS) are discussed and recast in a global comprehensive framework. Both theoretical features and practical implementation details are addressed. Some full scale applications are described, to provide the reader with relevant guidelines to facilitate a future use of these methods. 606 $aTurbulence$xMathematical models 615 0$aTurbulence$xMathematical models. 676 $a531.1134 676 $a532.0527 700 $aSagaut$b Pierre$f1967-$0316306 702 $aDeck$b Sebastien 702 $aTerracol$b Marc 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910786965503321 996 $aMultiscale and multiresolution approaches in turbulence$93871019 997 $aUNINA