Closure Strategies for Turbulent and Transitional Flows

• Main Authors: Launder, B. E. (Brian Edward), Sandham, Neil D.
• Format: eBook Book
• Language: English
• Published: Cambridge, U.K Cambridge University Press 2002
• Edition: 1
• Subjects: Transition flow; Turbulence
• ISBN: 0521792088; 9780521792080
• DOI: 10.1017/CBO9780511755385

Turbulence modelling is a critically important area in any industry dealing with fluid flow, having many implications for computational fluid dynamics (CFD) codes. It also retains a huge interest for applied mathematicians since there are many unsolved problems. This book provides a comprehensive ac...

Table of Contents:

• 6 Applications -- 7 Concluding Remarks -- Acknowledgements -- References -- 21 Joint Velocity-Scalar PDF Methods -- 1 PDF transport equation -- 2 Monte Carlo solution method -- 3 Hybrid flow field model -- 4 Modelingv elocity evolution -- 5 Developments in Lagrangian turbulence modeling -- 6 Chemical reaction -- 7 Modeling of a bluff-body-stabilized diffusion flame -- References -- Part C Future Directions -- 22 Simulation of Coherent Eddy Structure in Buoyancy-Driven Flows with Single-Point Turbulence Closure Models -- 1 Introduction -- 2 VLES and Hybrid RANS/LES methods -- 3 The Time-Dependent RANS (T-RANS) -- 4 T-RANS Simulation of Rayleigh-Bénard Convection -- 5 Conclusions -- References -- 23 Use of Higher Moments to Construct PDFs in Stratified Flows -- 1 Introduction -- 2 Use of higher moments to construct PDFs in stratified flows -- 3 Constructing PDFs in the convective PBL -- 4 Modeling the turbulent transport of substance -- 5 Conclusions -- References -- 24 Direct numerical simulations of separation bubbles -- Abstract -- 1 Introduction -- 2 Backward-facing step -- 3 Flat-plate separation bubble with turbulent detachment -- 4 Flat-plate separation bubble with laminar detachment -- 5 Conclusions and future directions -- References -- 25 Is LES Ready for Complex Flows? -- Abstract -- 1 Introduction -- 2 The filtering and inversion approach to LES -- 3 Non-uniformfilters and LES of complex flows -- 4 Interaction between numerical and modelling errors -- 5 Some guidelines for predictable LES -- Acknowledgements -- References -- 26 Recent Developments in Two-Point Closures -- Abstract -- 1 Inhomogeneous turbulence -- 2 Anisotropic turbulence with dispersive waves -- 3 Concluding remarks -- References
• Conclusions -- References -- 14 Application of TCL Modelling to Stratified Flows -- 1 Introduction -- 2 Closure Modelling for Stratified Flow -- 3 Third-Moment Modelling and Application -- Acknowledgements -- References -- 15 Higher Moment Diffusion in Stable Stratification -- 1 Introduction -- 2 The closure strategy -- 3 Algebraic models for triple correlations -- 4 Third-order closure models -- 5 Assessment of cumulant model -- 6 Conclusions -- Appendix -- References -- 16 DNS of Bypass Transition -- 1 The role of bypass transition -- 2 Transition induced by free-stream turbulence -- 3 Transition induced by periodic passing wakes -- References -- 17 By-Pass Transition using Conventional Closures -- 1 Introduction -- 2 Applying turbulence models to prediction of transitional flows -- 3 Some simple model refinements for improving predictions -- 4 Towards practical computations for engineering flows -- Acknowledgements -- References -- 18 New Strategies in Modelling By-Pass Transition -- 1 Introduction -- 2 Results from by-pass transition simulations -- 3 RST model comparison with transition simulations -- 4 Additional allowance for intermittency transport -- 5 Other possible approaches -- 6 Concluding remarks concerning best choice current models -- Acknowledgements -- References -- 19 Compressible, High Speed Flows -- 1 Introduction -- 2 Background: Experimental and Simulation Data -- 3 Compressible Navier-Stokes Equations -- 3 Turbulent Shear Layers -- 4 Shock Wave/Turbulence Interactions -- 5 Concluding Remarks -- Acknowledgements -- References -- 20 The Joint Scalar Probability Density Function -- Abstract -- 1 Introduction -- 2 Derivation of the Scalar PDF Equation -- 3 Solution Aspects of PDF Evolution Equations -- 4 Basic Modelling Requiremen ts of the Molecular Mixing Term -- 5 Stochastic Methods for Solving the Scalar PDF Equation
• Cover -- Closure Strategies for Turbulent and Transitional Flows -- Review -- Title -- Copyright -- Contents -- Contributors -- Preface -- Acronyms -- Introduction -- Part A: Physical and Numerical Techniques -- Part B: Flow Types and Processes -- Part C: Future Directions -- Part A Physical and Numerical Techniques -- 1 Linear and Nonlinear Eddy Viscosity Models -- 1 Introduction -- 2 Reynolds-averaged Navier-Stokes formulation -- 3 Linear eddy viscosity models -- 4 Nonlinear eddy viscosity models -- 5 Summary -- References -- 2 Second-Moment Turbulence Closure Modelling -- 1 Introduction -- 2 The Basic Linear Second-Moment Closure Model for High-Re-number Flows -- 3 Advanced Differential Second-Moment Closures -- 4 Potential of Differential Second-Moment Closures for Modelling Complex Flow Phenomena -- 5 Advanced Models for Near-wall and Low Re-number Flows -- 6 Some Illustration of DSM Performance -- 7 Concluding Remarks -- Acknowledgement -- References -- 3 Closure Modelling Near the Two-Component Limit -- 1 Introduction -- 2 A TCL closure of the Reynolds stress transport equations -- 3 Applications to the computation of dynamic field -- 4 Scalar flux modelling -- 5 Applications to the computation of the scalar field in free shear flows -- References -- 4 The Elliptic Relaxation Method -- 1 Non-local wall effects -- 2 A justification -- 3 Its use with Reynolds Stress Transport equations -- 4 Applications -- References -- 5 Numerical Aspects of Applying Second-Moment Closure to Complex Flows -- Abstract -- 1 Introduction -- 2 Second-moment Closure -- 3 Numerical Issues -- 4 Application Examples -- 5 Concluding Remarks -- References -- 6 Modelling Heat Transfer in Near-Wall Flows -- Abstract -- 1 Introduction -- 2 Two-equation model of turbulence for velocity field -- 3 Two-equation model for heat transfer (DNS-based modelling)
• 4 Two-equation Model for heat transfer (effects of Prandtl number) -- 5 Conclusions -- References -- 7 Introduction to Direct Numerical Simulation -- Abstract -- 1 Introduction -- 2 Turbulence scales and resolution requirements -- 3 Numerical methods -- 4 Validation Issues -- 5 Applications -- 6 Conclusions -- References -- 8 Introduction to Large Eddy Simulation of Turbulent Flows -- 1 Introduction -- 2 Governing Equations and Filtering -- 3 Subgrid-scale modelling -- 4 Numerical Methods -- 5 Boundary conditions -- 6 Concluding Remarks -- References -- 9 Introduction to Two-Point Closures -- Abstract -- 1 Introduction -- 2 Nonlinearity and non-locality -- 3 Review of [2,1] and [3,2] models -- 4 From RDT to anisotropic two-point closures -- 5 Application to stably stratified and rotating fluid -- 6 Concluding remarks -- References -- 10 Reacting Flows and Probability Density Function Methods -- 1 Introduction -- 2 Basic statistical concepts -- 3 Averaged equations -- 4 One-point scalar PDF closure -- 5 One point joint velocity-scalar PDF closure -- References -- Part B Flow Types and Processes and Strategies for Modelling them -- 11 Modelling of Separating and Impinging Flows -- 1 Introduction -- 2 Turbulence Lengthscales in Impingement and Reattachment Regions -- 3 Turbulence EnergyPro duction in Impingement Regions -- 4 Application of Higher-Order Models to Impingement Flows -- References -- 12 Large-Eddy Simulation of the Flow past Bluff Bodies -- Abstract -- 1 Introduction -- 2 LES Methods Used -- 3 Flow Past Long Cylinders -- 4 Flow over Surface-Mounted Cubes -- 5 Conclusions -- References -- 13 Large Eddy Simulation of Industrial Flows? -- Abstract -- 1 Introduction -- 2 Numerical schemes for LES in complex geometry -- 3 Application to a Tube Bundle and Cylinder -- 4 Fluid-Structure Coupling -- 5 Acoustic Source Terms -- 6 Toward Industrial LES