Turbulence modeling from a new perspective

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 1, 2010, Pages 39-54

  Tao, L ^a   Ramakrishna, M ^a   Rajagopal, K R ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b Texas AandM University   (United States)

Author keywords

Information; Multi objective optimization; Multi scale simulation; Reynolds average; Turbulence modeling

Indexed keywords

INFORMATION; INPUT DATAS; MULTI-OBJECTIVE OPTIMIZATION PROBLEM; MULTI-SCALE SIMULATION; OBJECTIVE FUNCTIONS; REYNOLDS AVERAGE; REYNOLDS AVERAGED; REYNOLDS STRESS TENSORS; SECOND ORDERS; SYSTEMS SIMULATION; TURBULENCE MODELING; VELOCITY FLUCTUATIONS;

BOUNDARY CONDITIONS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; TURBULENCE;

MULTIOBJECTIVE OPTIMIZATION;

EID: 70350726764     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.10.049     Document Type: Article

References (13)

1. Hinze J.O. Turbulence (1975), McGraw-Hill Book Company, New York
2. Monin A.S., and Yaglom A.M. Statistical Fluid Mechanics: Mechanics of Turbulence vol. 1 (1971), MIT Press, Cambridge, Mass
3. Orszag S.A. Analytical theories of turbulence. J. Fluid Mech. 41 (1970) 363-386
4. Tatsumi T. Theory of homogeneous turbulence. Adv. Appl. Mech. 20 (1980) 39-133
5. Ogura Y. A consequence of the zero fourth cumulant approximation in the decay of isotropic turbulence. J. Fluid Mech. 16 (1963) 33-40
6. Rajagopal K.R., and Srinivasa A.R. On the thermomechanics of materials that have multiple natural configurations. ZAMP 55 (2004) 861-893
7. Deb K. Multi-Objective Optimization using Evolutionary Algorithms (2003), John Wiley & Sons, Ltd., New York
8. Launder B.E. In: Gatski T.B., Hussaini M.Y., and Launder J.L. (Eds). An Introduction to Single-Point Closure Methodology. Simulation and Modeling of Turbulent Flows (1996), Oxford University Press, Oxford 243-310
9. W. Rodi, Turbulence Models and Their Application in Hydraulics-A State of the Art Review, International Association for Hydraulic Research, Delft, The Netherlands, 1980
10. McComb W.D. The Physics of Fluid Turbulence (1990), Oxford University Press, New York
11. Sritharan S.S. Deterministic and stochastic control of Navier-Stokes equation with linear, monotone, and hyperviscosities. Appl. Math. Optim. 41 (2000) 255-308
12. Rajagopal K.R., Tao L., and Chen G.Q. On some issues concerning the modeling of the motion of fluids. Internat. J. Appl. Mech. Eng. 10 (2005) 475-487
13. Kreuzer H.J. Nonequilibrium Thermodynamics and its Statistical Foundations (1981), Clarendon Press, Oxford