Modern Simulation Strategies for Turbulent Flow

by Geurts, Bernard J.

• ISBN13: 9781930217041
• ISBN10: 1930217048
• Format: Hardcover
• Copyright: 2001-05-01
• Publisher: Lightning Source Inc

Summary

Geurts presents state-of-the-art analysis of turbulent flow simulation techniques and presents direct numerical simulation and large-eddy simulation. (Technology & Industrial Arts)

Table of Contents

Preface	ix
A Review of Progress on Direct and Large-Eddy Simulation	1	(20)
N.D. Sandham
Background	1	(1)
Direct numerical simulations of turbulence	2	(6)
Turbulence scales and resolution requirements	2	(2)
Validation procedures	4	(1)
The changing perspective of computer hardware	4	(1)
Applications	5	(3)
Large-eddy simulations	8	(8)
Background: Smagorinsky and dynamic models	8	(2)
Engineering and atmospheric applications	10	(1)
New theoretical developments	11	(5)
Conclusions	16	(5)
Guidelines for application of current LES technology	16	(1)
Key issues and requirements for future research	17	(4)
Deconvolution Methods for Subgrid-Scale Approximation in LES	21	(24)
N.A. Adams
S. Stolz
Introduction	21	(2)
Filtering Approach: Soft and hard deconvolution problem	23	(6)
The Filtered conservation law	23	(3)
Filter-Kernel Definitions	26	(3)
Regularized Deconvolution	29	(9)
Deconvolution methods from image processing	29	(2)
Review of deconvolution-type subgrid-scale models	31	(5)
The approximate deconvolution model	36	(2)
Secondary regularization	38	(3)
Conclusions	41	(4)
The subgrid-scale estimation model for decaying isotropic turbulence	45	(12)
P.P. Yee
J. A. Domaradzki
Introduction	45	(1)
Previous formulation of subgrid scale estimation procedure	46	(3)
A Modified Formulation of the Velocity Estimation Procedure	49	(1)
Simulations Using the Improved Velocity Estimation Procedure	50	(5)
Conclusions	55	(2)
The Spatial velocity increment as a tool for SGS modeling	57	(28)
C. Brun
R. Friedrich
Introduction	57	(1)
Properties of the Subgrid Scale Stress Tensor	58	(4)
Definition of a general Filter	58	(1)
Governing Equations of the Flow	59	(1)
3D Taylor Expansion of the SGS Stress Tensor	59	(1)
Relation between the Generalized Leonard Stress Tensor and the SGS stress tensor	60	(1)
Filtering in Time	61	(1)
The INC model: from a 1D to a 3D formulation	62	(4)
Temporal Approach	62	(1)
Spatial 1D-Approach	63	(1)
Spatial 3D-approach	64	(2)
A priori tests of the INC model	66	(2)
Mean value of the SGS stress tensor	66	(1)
Properties of the model in terms of the SGS Energy production	67	(1)
A posteriori tests of the INC model	68	(10)
An alternative Dynamic Procedure	68	(1)
LES of fully developed pipe flow at 180 ! Re ! 520	69	(9)
Sensitivity analysis of the INC model	78	(2)
Decoupling numerics from model effect	78	(2)
Amplitude of the model coefficient	80	(1)
Conclusions and Outlook	80	(5)
Tensor-diffusivity mixed model: balancing reconstruction and truncation	85	(22)
G. S. Winckelmans
H. Jeanmart
A. A. Wray
D. Carati
B. J. Geurts
Introduction	86	(1)
Definitions, Filtered-scale stress and subgrid-scale stress	86	(3)
Approximate reconstruction, tensor-diffusivity and mixed modeling	89	(2)
Theoretical aspects of the mixed model	91	(1)
Ties with other models	92	(1)
The dynamic procedure applied to the mixed model	93	(1)
Results for LES of isotropic turbulent decay	94	(7)
The tensor-diffusivity model alone	95	(2)
The mixed model	97	(2)
Spectrum of dissipation	99	(2)
More challenging LES	101	(1)
Conclusions	101	(6)
Navier-Stokes-Alpha model: LES equations with nonlinear dispersion	107	(16)
J. A. Domardzki
D.D. Holm
Introduction	107	(2)
Kelvin-filtered turbulence models	109	(3)
Comparison of the NS-α model with LES equations	112	(2)
Transformation properties	114	(2)
Relation to generalized similarity models	116	(3)
Spectral space interpretation	119	(4)
Rotational Transformation and geometrical correlation of SGS models	123	(18)
K. Horiuti
Introduction	123	(2)
Subgrid-scale stress tensor in rotating frame	125	(8)
Formulation of the generalized scale-similarity model	126	(1)
Compatibility of the Models with rotational constraint	127	(3)
Assessment in homogeneous turbulence subjected to rotation	130	(1)
Higher-order models for the modified cross terms	131	(2)
Assessment of subgrid models in dissipative vartical structures	133	(5)
Classification method and DNS data analysis	134	(2)
Assessment of the SGS models	136	(2)
Conclusions	138	(3)
Renormalization-type methods applied to the simulation of turbulence	141	(32)
W. D. McComb
Introduction	141	(2)
Statement of the problem	143	(6)
Basic spectral equations	143	(2)
The Energy spectrum and mode elimination	145	(3)
Need for a conditional average	148	(1)
Conservation equations for the explicity scales	149	(5)
Ensemble-averaged conservation equations and the ad hoc effective viscosity	150	(1)
Conditionally-averaged conservation equations	151	(2)
Quasi-stochastic estimate of the renormalized dissipation rate	153	(1)
Conditional mode elimination and scale invariant dissipation	154	(3)
Numerical results and discussion	156	(1)
Effective viscosity in a constrained simulation	157	(6)
The direct numerical simulation	157	(2)
The constrained simulation	159	(4)
The local energy transfer (LET) theory	163	(5)
The LET equations and the test problems	163	(2)
Freely Decaying Turbulence	165	(1)
Forced Turbulence	165	(3)
Discussion	168	(5)
Ten years of the dynamic model	173	(18)
M. Germano
Introduction	173	(2)
The origin of the dynamic model	175	(1)
Symbols: horizontal and vertical notations	176	(2)
The dynamic procedure: Various contributions and problems	178	(4)
Criticism	182	(1)
Realizability and Reversibility	183	(2)
The renormalized filter and associated renormalized model	185	(1)
Future strategies: additive dynamic procedures	186	(2)
Conclusions	188	(3)
Computation of the lobe-and-cleft instability	191	(16)
C. Haertel
M. Thunblom
F. Carlsson
Introduction	191	(2)
Mathematical Approach	193	(2)
Two-dimensional base flow	195	(1)
Linear-stability analysis	196	(5)
Computational approach	198	(1)
Discussion of the stability results	199	(2)
Direct numerical simulations	201	(3)
Concluding Remarks	204	(3)
Wall-layer models for LES of separated flows	207	(16)
G. V. Diurno
E. Balaras
U. Piomelli
Introduction	207	(5)
Formulation	212	(2)
Numerical method and subgrid-scale model	212	(1)
The Two-Layer Model	212	(2)
Results	214	(7)
Conclusions	221	(2)
VLES of flows driven by thermal buoyancy and magnetic field	223	(24)
K. Hanjalic
S. Kenjeres
Introduction	223	(1)
VLES methods	224	(2)
Classic and magnetic Rayleigh-Bernard Convection: a case for VLES	226	(3)
Effects of a magnetic field	227	(2)
Flows considered	229	(1)
Mathematical Rationale	229	(4)
The subscale model	230	(2)
Evaluation of turbulant heat flux	232	(1)
Numerical method	233	(1)
Illustrations	233	(10)
Conclusions	243	(4)
DNS of non-premixed combustion in a compressible mixing layer	247	(16)
R.J.M. Bastiaans
L.M.T. Somers
H.C. de Lange
Introduction	247	(1)
Governing equations	248	(2)
Numerical method	250	(1)
Problem definition and validation	250	(1)
Results	251	(4)
One-dimensional flamelets	255	(2)
Flamelet analysis	257	(2)
Conclusions	259	(4)
DNS and LES of Turbulence-Combustion Interactions	263	(32)
K. H. Luo
Introduction	263	(2)
Direct Numerical Simulation	265	(4)
Large Eddy Simulation	269	(4)
DNS of High Speed Combustion	273	(10)
Heat Release Effects	274	(5)
Combustion-Generated Turbulence	279	(1)
Counter-gradient Diffusion	280	(3)
DNS and LES of Low Speed Combustion	283	(6)
DNS of Fires	284	(3)
LES of Thermal and Fire Plumes	287	(2)
Summary	289	(6)
Large Eddy Simulation of compressible turbulent jets	295	(14)
B. J. Boersma
Introduction	295	(1)
Large Eddy Simulation	296	(4)
LES models	298	(1)
The dynamic procedure	299	(1)
Numerical method and boundary conditions	300	(2)
Inflow conditions	301	(1)
Results	302	(4)
Conclusion	306	(3)
Numerical effects contaminating LES; a mixed story	309
B.J. Geurts
J. Froehlich
Introduction	309
Reference DNS and LES of a temporal mixing layer	312
Refining the Grid at constant Filterwidth	315
Refining the grid at constant filterwidth to mesh-spacing ratio	320
Discussion of results and cost	322