05108oam 2200529 450 991081824760332120190911112724.01-84816-987-6(OCoLC)844311107(MiFhGG)GVRL8RFF(EXLCZ)99267000000036180520130821h20132013 uy 0engurun|---uuuuatxtccrMultiscale and multiresolution approaches in turbulence LES, DES and hybrid RANS/LES methods : applications and guidelines /Pierre Sagaut, Universite Pierre et Marie Curie-- Paris 6, France, Sebastien Deck, ONERA, France, Marc Terracol, ONERA, France2nd ed.London Imperial College Press ;Singapore Distributed by World Scientificc2013London :Imperial College Press,[2013]�20131 online resource (xviii, 427 pages) illustrationsGale eBooksDescription based upon print version of record.1-84816-986-8 Includes bibliographical references (p. 397-423) and index.Foreword 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 Separation2.1 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 equations2.5 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 space3.2.2 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 models3.5.1.1 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 identity4.2.1.2 Multilevel Germano identityThe 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.TurbulenceMathematical modelsTurbulenceMathematical models.531.1134532.0527Sagaut Pierre1967-316306Deck SebastienTerracol MarcMiFhGGMiFhGGBOOK9910818247603321Multiscale and multiresolution approaches in turbulence3912809UNINA