Keywords:
Turbulence--Mathematical models.
;
Electronic books.
Description / Table of Contents:
This book describes one approach to the numerical simulation of turbulent flows, Implicit Large Eddy Simulation (ILES), synthesizes the theoretical basis of the ILES methodology and reviews its accomplishments. ILES is a relatively new approach that combines generality and computational efficiency with documented success in many areas of complex fluid flow.
Type of Medium:
Online Resource
Pages:
1 online resource (577 pages)
Edition:
1st ed.
ISBN:
9780511538902
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=442839
DDC:
532/.0527
Language:
English
Note:
Cover -- Half-title -- Dedication -- Title -- Copyright -- Contents -- Preface -- List of Acronyms -- List of Contributors -- Introduction -- Section A: Motivation -- Section B: Capturing physics with numerics -- Section C: Verification and validation -- Section D: Frontier flows -- Section: A Motivation -- 1 More for LES: A Brief Historical Perspective of MILES -- 1.1 Introduction to monotone integrated large eddy simulation -- 1.2 The numerical simulation of turbulence -- 1.3 Flux-corrected transport: Our monotone method of choice -- 1.4 Using monotone methods for turbulent flow problems -- 1.5 Concepts and properties of monotone methods -- 1.6 Why should MILES work? -- 1.7 Testing the MILES concepts -- 1.8 Summary -- Acknowledgments -- REFERENCES -- 2 A Rationale for Implicit LES -- 2.1 Introduction -- 2.2 Historical perspective -- 2.3 A Physical perspective -- 2.3.1 Laminar flows -- 2.3.2 Renormalization -- 2.3.3 Discussion of the finite-scale equations -- 2.4 NFV modified equation -- 2.4.1 Implicit SGS stresses -- 2.4.2 Energy analysis and computational stability -- 2.5 A Discussion of energy dissipation -- 2.6 Summary -- REFERENCES -- Section B: Capturing physics with numerics -- 3 Subgrid-Scale Modeling: Issues and Approaches -- 3.1 Large eddy simulation: From practice to theory -- 3.1.1 LES: Statement of the problem -- 3.1.2 LES: Mathematical models -- 3.1.2.1 The filtered Navier-Stokes equations model -- 3.1.2.2 A more realistic model: The twice-filtered Navier-Stokes equations -- 3.1.2.3 Additional mathematical models -- 3.2 Explicit subgrid-scale models -- 3.2.1 Functional subgrid-scale models -- 3.2.1.1 The basic model -- 3.2.1.2 A few improvement strategies -- 3.2.2 Structural subgrid-scale models -- 3.2.2.1 Soft-deconvolution models -- 3.2.2.2 Full reconstruction of subgrid scales -- 3.2.3 Extension for compressible flows.
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3.3 The boundary condition issue -- 3.3.1 General statement of the problem -- 3.3.2 Turbulent inflow conditions -- 3.3.2.1 Stochastic turbulence generation methods -- 3.3.2.2 Deterministic methods -- 3.3.3 Solid walls on coarse grids: Wall models -- 3.3.3.1 Statement of the problem -- 3.3.3.2 A few wall models -- 3.4 LES validation -- 3.4.1 Sensitivity and efficiency -- 3.4.2 Validation procedures -- 3.5 Open problems in the explicit LES approach -- 3.6 Appendix: The filtered Navier--Stokes equations -- 3.6.1 Incompressible flows -- 3.6.2 Compressible flows -- 3.6.2.1 Definition of the filtered variables -- REFERENCES -- 4 Numerics for ILES -- 4a Limiting Algorithms -- 4a.1 Introduction -- 4a.2 Finite-volume discretization of the Navier-Stokes equation -- 4a.3 Time integration and solution algorithms -- 4a.3.1 Solution algorithms for the incompressible NSE -- 4a.3.2 Solution algorithms for the compressible NSE -- 4a.4 Flux reconstruction -- 4a.4.1 Preamble to flux reconstruction of the convective fluxes -- 4a.4.2 Total-variation diminishing, monotonicity, and flux limiting -- 4a.4.3 Examples of flux limiters -- 4a.4.4 Construction of modern TVD-based flux limiters -- 4a.4.5 Flux-corrected transport -- 4a.4.6 Flux reconstruction of the diffusive fluxes -- 4a.5 Modified equation analysis -- 4a.5.1 Incompressible NSEs -- 4a.5.2 Compressible Navier-Stokes equations -- 4a.5.3 Detailed properties of the built-in SGS models of ILES -- 4a.5.3.1 Implications of a specific model for the limiter -- 4a.6 The Taylor-Green Vortex problem -- 4a.7 Concluding Remarks -- REFERENCES -- 4b The PPM Compressible Gas Dynamics Scheme -- 4b.1 Introduction -- 4b.2 Design constraints -- 4b.3 PPM interpolation -- 4b.4 Using the interpolation operators to build a subgrid-scale model for a cell -- 4b.5 Summary -- Acknowledgment -- REFERENCES -- 4c The Lagrangian Remap Method.
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4c.1 Overview of the numerical method -- 4c.2 Monotonicity properties -- 4c.3 Dissipation -- 4c.4 Inclusion of subgrid-scale models -- REFERENCES -- 4d MPDATA -- 4d.1 Introduction -- 4d.2 Basic scheme -- 4d.3 Accuracy, stability, and benchmark results -- 4d.4 Extensions -- 4d.4.1 Generalized transport equation -- 4d.4.2 Transporting fields of variable sign -- 4d.4.3 Nonoscillatory option -- 4d.5 Concluding remarks -- REFERENCES -- 4e Vorticity Confinement -- 4e.1 Introduction -- 4e.2 Vorticity confinement: Basic concepts -- 4e.2.1 Illustrative one-dimensional example -- 4e.3 Vorticity confinement: Methodology -- 4e.3.1 Basic formulation -- 4e.3.2 Comparison of the VC2 formulation with direction-split discontinuity-steepening schemes -- 4e.4 Conclusions -- Acknowledgments -- REFERENCES -- 5 Numerical Regularization: The Numerical Analysis of Implicit Subgrid Models -- 5.1 Introduction -- 5.2 Modified equation analysis -- 5.3 MEA of a high-resolution method -- 5.4 Energy analysis and the relation of LES and ILES -- 5.5 Validation of the analysis -- 5.6 Analysis of multidimensional equations -- 5.7 Summary -- REFERENCES -- 6 Approximate Deconvolution -- 6.1 Introduction -- 6.2 Filter-kernel definitions -- 6.3 Averaged equation and filtering approach -- 6.4 Subgrid-scale approximation -- 6.5 Modeling -- 6.5.1 Extension to the Navier-Stokes equations -- 6.5.2 Transition in the three-dimensional Taylor-Green vortex -- 6.6 Summary -- REFERENCES -- Section C: Verification and validation -- 7 Simulating Compressible Turbulent Flow with PPM -- 7.1 Introduction -- 7.2 Large-scale 3D simulations of turbulent flows -- 7.3 Purpose of the simulations: Validationand testing of turbulence models -- 7.4 Potential role of turbulence models -- 7.5 Correlation of the action of a turbulent cascade with the local flow topology.
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7.6 Visual evidence for the correlation of FSGS with det(S) -- 7.7 Summary -- REFERENCES -- 8 Vortex Dynamics and Transition to Turbulence in Free Shear Flows -- 8.1 Introduction -- 8.2 ILES approach -- 8.2.1 Motivation -- 8.2.2 FCT-based model -- 8.3 Transition from laminar conditions -- 8.3.1 Global instabilities -- 8.3.2 Self-organization -- 8.3.3 Complex vortex dynamics -- 8.3.4 Entrainment and combustion dynamics -- 8.4 Small-scale emulation -- 8.4.1 Convergence -- 8.4.2 Sensitivity to multidimensional SGS model specifics -- REFERENCES -- 9 Symmetry Bifurcation and Instabilities -- 9.1 Introduction -- 9.2 Results -- 9.2.1 Symmetry breaking in a suddenly expanded-contracted channel -- 9.2.2 Shock propagation in an enclosure -- 9.2.3 Interaction of a shock wave with a bubble -- REFERENCES -- 10 Incompressible Wall-Bounded Flows -- 10.1 Introduction -- 10.1.1 Overview of CFD models for incompressible flows -- 10.1.2 Summary of numerical algorithms -- 10.2 Fully developed turbulent channel flows -- 10.3 Flow around a circular cylinder at ReD = 3900 and Re = 140,000 -- 10.4 Symmetry breaking in a sudden expansion type of flow -- 10.5 Flow around a surface-mounted cube -- 10.6 Flow around the KRISO KVLCC2 tanker hull -- 10.7 Concluding remarks -- Acknowledgment -- REFERENCES -- 11 Compressible Turbulent Shear Flows -- 11.1 Methodology -- 11.1.1 Governing equations -- 11.1.2 Explicit subgrid-scale models -- 11.1.3 Monotone integrated large eddy simulation -- 11.2 Supersonic flat-plate boundary layer -- 11.2.1 Introduction -- 11.2.2 Boundary conditions -- 11.2.2.1 Inflow boundary conditions -- 11.2.2.2 Outflow boundary conditions -- 11.2.2.3 Solid-wall boundary conditions -- 11.2.2.4 Upper surface boundary conditions -- 11.2.2.5 Lateral surface boundary conditions -- 11.2.3 Results -- 11.3 Shock-wave turbulent boundary layer interactions.
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11.3.1 Introduction -- 11.3.2 Compression corner -- 11.3.3 Expansion-compression corner -- 11.4 Supersonic base flows -- 11.4.1 Computational configuration -- 11.4.2 Flow results -- 11.4.3 Statistical results -- 11.5 Conclusions -- Acknowledgment -- REFERENCES -- 12 Turbulent Flow Simulations Using Vorticity Confinement -- 12.1 Introduction -- 12.2 Results -- 12.2.1 Forced turbulence -- 12.2.2 Ellipsoid -- 12.2.3 Flow over a circular cylinder -- 12.2.4 Flow over a square cylinder -- 12.2.5 Flow over a disk -- 12.2.6 Dynamic stall - NACA 0015 -- 12.2.7 Flow over a Comanche helicopter fuselage -- 12.2.8 Flow over a missile -- 12.2.9 Other relevant studies -- 12.3 Conclusions -- REFERENCES -- 13 Rayleigh-Taylor and Richtmyer-Meshkov Mixing -- 13.1 Introduction -- 13.2 Overview of previous simulations -- 13.3 Self-similar Rayleigh-Taylor mixing -- 13.3.1 Experimental results -- 13.3.2 Ideal initial conditions -- 13.3.3 Use of SGS models -- 13.3.4 Realistic initial conditions -- 13.3.5 Conclusions -- 13.4 Richtmyer-Meshkov mixing -- 13.4.1 Experimental results -- 13.4.2 Simulations -- 13.5 Concluding remarks -- REFERENCES -- Section D: Frontier Flows -- 14 Studies in Geophysics -- 14.1 Introduction -- 14.2 SGS properties of MPDATA -- 14.3 A multiscale geophysical fluid model -- 14.3.1 Motivation -- 14.3.2 Analytic formulation -- 14.3.3 Numerical approximations -- 14.4 APPLICATIONS -- 14.4.1 ILES of idealized climate -- 14.4.2 LES of aeolian flows -- 14.4.3 DNS of oceanic boundary-current separation -- 14.5 ILES as a research tool -- 14.6 Remarks -- Acknowledgments -- REFERENCES -- 15 Using PPM to Model Turbulent Stellar Convection -- 15.1 Introduction -- 15.2 Rewards and challenges -- 15.3 Local area models of stellar convection -- 15.3.1 Results from local area models -- 15.3.2 Validations of local area models -- 15.4 Convection in red giant stars.
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15.5 Adapting PPM to do convection in spherical geometry.
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