메뉴 건너뛰기




Volumn 49, Issue 12, 2005, Pages 1359-1389

A general optimal formulation for the dynamic Smagorinsky subgrid-scale stress model

Author keywords

Constitutive relation; Large eddy simulation; Optimization; Subgrid scale model; Turbulence

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; EQUATIONS OF MOTION; INTEGRAL EQUATIONS; OPTIMIZATION; REYNOLDS NUMBER; STRESS ANALYSIS; TURBULENCE; TURBULENT FLOW;

EID: 29944432410     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.1031     Document Type: Article
Times cited : (9)

References (72)
  • 2
    • 33644601529 scopus 로고
    • A proposed modification of the Germano subgrid-scale closure method
    • Lilly DK. A proposed modification of the Germano subgrid-scale closure method. Physics of Fluids A 1992; 4:633-635.
    • (1992) Physics of Fluids A , vol.4 , pp. 633-635
    • Lilly, D.K.1
  • 3
    • 15844390609 scopus 로고    scopus 로고
    • A dynamic nonlinear subgrid-scale stress model
    • 035109
    • Wang B-C, Bergstrom DJ. A dynamic nonlinear subgrid-scale stress model. Physics of Fluids 2005; 17:(035109)1-15.
    • (2005) Physics of Fluids , vol.17 , pp. 1-15
    • Wang, B.C.1    Bergstrom, D.J.2
  • 5
    • 0014763829 scopus 로고
    • Toward a turbulent constitutive relation
    • Lumley JL. Toward a turbulent constitutive relation. Journal of Fluid Mechanics 1970; 41:413-434.
    • (1970) Journal of Fluid Mechanics , vol.41 , pp. 413-434
    • Lumley, J.L.1
  • 6
    • 0016570251 scopus 로고
    • A more general effective-viscosity hypothesis
    • Pope SB. A more general effective-viscosity hypothesis. Journal of Fluid Mechanics 1975; 72:331-340.
    • (1975) Journal of Fluid Mechanics , vol.72 , pp. 331-340
    • Pope, S.B.1
  • 7
    • 0001932497 scopus 로고
    • Parameterization of subgrid-scale stress by the velocity gradient tensor
    • CTR, Stanford University
    • Lund TS, Novikov EA. Parameterization of subgrid-scale stress by the velocity gradient tensor. Annual Research Briefs, CTR, Stanford University, 1992; 27-43.
    • (1992) Annual Research Briefs , pp. 27-43
    • Lund, T.S.1    Novikov, E.A.2
  • 8
    • 0000228414 scopus 로고    scopus 로고
    • Optimal LES formulations for isotropic turbulence
    • Langford JA, Moser RD. Optimal LES formulations for isotropic turbulence. Journal of Fluid Mechanics 1999; 398:321-346.
    • (1999) Journal of Fluid Mechanics , vol.398 , pp. 321-346
    • Langford, J.A.1    Moser, R.D.2
  • 9
    • 3242691408 scopus 로고    scopus 로고
    • Finite-volume optimal large-eddy simulation of isotropic turbulence
    • Zandonade PS, Langford JA, Moser RD. Finite-volume optimal large-eddy simulation of isotropic turbulence. Physics of Fluids 2004; 16:2255-2271.
    • (2004) Physics of Fluids , vol.16 , pp. 2255-2271
    • Zandonade, P.S.1    Langford, J.A.2    Moser, R.D.3
  • 10
    • 0029276008 scopus 로고
    • A dynamic localization model for large-eddy simulation of turbulent flows
    • Ghosal S, Lund TS, Moin P, Akselvoll K. A dynamic localization model for large-eddy simulation of turbulent flows. Journal of Fluid Mechanics 1995; 286:229-255.
    • (1995) Journal of Fluid Mechanics , vol.286 , pp. 229-255
    • Ghosal, S.1    Lund, T.S.2    Moin, P.3    Akselvoll, K.4
  • 11
    • 0028976505 scopus 로고
    • Large-eddy simulation of rotating channel flows using a localized dynamic model
    • Piomelli U, Liu J. Large-eddy simulation of rotating channel flows using a localized dynamic model. Physics of Fluids 1995; 7:839-848.
    • (1995) Physics of Fluids , vol.7 , pp. 839-848
    • Piomelli, U.1    Liu, J.2
  • 12
    • 0030072027 scopus 로고    scopus 로고
    • Effect of subgrid models on the computed interscale energy transfer in isotropic turbulence
    • Menon S, Yeung P-K, Kim W-W. Effect of subgrid models on the computed interscale energy transfer in isotropic turbulence. Computers and Fluids 1996; 25:165-180.
    • (1996) Computers and Fluids , vol.25 , pp. 165-180
    • Menon, S.1    Yeung, P.K.2    Kim, W.W.3
  • 13
    • 0033619690 scopus 로고    scopus 로고
    • An unsteady incompressible Navier-Stokes solver for large eddy simulation of turbulent flows
    • Kim W-W, Menon S. An unsteady incompressible Navier-Stokes solver for large eddy simulation of turbulent flows. International Journal for Numerical Methods in Fluids 1999; 31:983-1017.
    • (1999) International Journal for Numerical Methods in Fluids , vol.31 , pp. 983-1017
    • Kim, W.W.1    Menon, S.2
  • 14
    • 0034327067 scopus 로고    scopus 로고
    • Large-eddy simulations of turbulent flow in a rotating square duct
    • Pallares J, Davidson L. Large-eddy simulations of turbulent flow in a rotating square duct. Physics of Fluids 2000; 12:2878-2894.
    • (2000) Physics of Fluids , vol.12 , pp. 2878-2894
    • Pallares, J.1    Davidson, L.2
  • 15
    • 0028497629 scopus 로고
    • On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet
    • Liu S, Meneveau C, Katz J. On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. Journal of Fluid Mechanics 1994; 275:83-119.
    • (1994) Journal of Fluid Mechanics , vol.275 , pp. 83-119
    • Liu, S.1    Meneveau, C.2    Katz, J.3
  • 16
    • 0000176178 scopus 로고
    • On the representation of backscatter in dynamic localization models
    • Carati D, Ghosal S, Moin P. On the representation of backscatter in dynamic localization models. Physics of Fluids 1995; 7:606-616.
    • (1995) Physics of Fluids , vol.7 , pp. 606-616
    • Carati, D.1    Ghosal, S.2    Moin, P.3
  • 18
    • 0027459945 scopus 로고
    • High Reynolds number calculations using the dynamic subgrid-scale stress model
    • Piomelli U. High Reynolds number calculations using the dynamic subgrid-scale stress model. Physics of Fluids A 1993; 5:1484-1490.
    • (1993) Physics of Fluids A , vol.5 , pp. 1484-1490
    • Piomelli, U.1
  • 20
    • 0029510717 scopus 로고
    • A priori tests of a new dynamic subgrid-scale model for finite-difference large-eddy simulations
    • Salvetti MV, Banerjee S. A priori tests of a new dynamic subgrid-scale model for finite-difference large-eddy simulations. Physics of Fluids 1995; 7:2831-2847.
    • (1995) Physics of Fluids , vol.7 , pp. 2831-2847
    • Salvetti, M.V.1    Banerjee, S.2
  • 21
    • 0035504438 scopus 로고    scopus 로고
    • A recommended modification to the dynamic two-parameter mixed subgrid scale model for large eddy simulation of wall bounded turbulent flow
    • Morinishi Y, Vasilyev OV. A recommended modification to the dynamic two-parameter mixed subgrid scale model for large eddy simulation of wall bounded turbulent flow. Physics of Fluids 2001; 13:3400-3410.
    • (2001) Physics of Fluids , vol.13 , pp. 3400-3410
    • Morinishi, Y.1    Vasilyev, O.V.2
  • 22
    • 0000177791 scopus 로고
    • A dynamic subgrid-scale model for compressible turbulence and scalar transport
    • Moin P, Squires K, Cabot W, Lee S. A dynamic subgrid-scale model for compressible turbulence and scalar transport. Physics of Fluids A 1991; 3:2746-2757.
    • (1991) Physics of Fluids A , vol.3 , pp. 2746-2757
    • Moin, P.1    Squires, K.2    Cabot, W.3    Lee, S.4
  • 23
    • 0000673729 scopus 로고
    • A proposed statistical-dynamic closure method for the linear and non-linear subgrid-scale stresses
    • Wong VC. A proposed statistical-dynamic closure method for the linear and non-linear subgrid-scale stresses. Physics of Fluids A 1992; 4:1080-1082.
    • (1992) Physics of Fluids A , vol.4 , pp. 1080-1082
    • Wong, V.C.1
  • 24
    • 0031126339 scopus 로고    scopus 로고
    • Subgrid-scale modelling for the large-eddy simulation of high-Reynolds-number boundary layers
    • Kosović B. Subgrid-scale modelling for the large-eddy simulation of high-Reynolds-number boundary layers. Journal of Fluid Mechanics 1997; 336:151-182.
    • (1997) Journal of Fluid Mechanics , vol.336 , pp. 151-182
    • Kosović, B.1
  • 25
    • 15844411292 scopus 로고
    • Search for subgrid scale parameterization by projection pursuit regression
    • Stanford University
    • Meneveau C, Lund TS, Moin P. Search for subgrid scale parameterization by projection pursuit regression. Proceedings of the CTR Summer Program, Stanford University, 1992; 61-81.
    • (1992) Proceedings of the CTR Summer Program , pp. 61-81
    • Meneveau, C.1    Lund, T.S.2    Moin, P.3
  • 26
    • 0001391485 scopus 로고    scopus 로고
    • Dynamic inverse modelling and its testing in large-eddy simulations of the mixing layer
    • Kuerten JGM, Geurts BJ, Vreman AW, Germano M. Dynamic inverse modelling and its testing in large-eddy simulations of the mixing layer. Physics of Fluids 1999; 11:3778-3785.
    • (1999) Physics of Fluids , vol.11 , pp. 3778-3785
    • Kuerten, J.G.M.1    Geurts, B.J.2    Vreman, A.W.3    Germano, M.4
  • 27
    • 0036793588 scopus 로고    scopus 로고
    • Vector level identity for dynamic subgrid scale modeling in large eddy simulation
    • Morinishi Y, Vasilyev OV. Vector level identity for dynamic subgrid scale modeling in large eddy simulation. Physics of Fluids 2002; 14:3616-3623.
    • (2002) Physics of Fluids , vol.14 , pp. 3616-3623
    • Morinishi, Y.1    Vasilyev, O.V.2
  • 28
    • 0039522755 scopus 로고
    • On the application of the Germano identity to subgrid-scale modelling
    • Ronchi C, Ypma M, Canuto VM. On the application of the Germano identity to subgrid-scale modelling. Physics of Fluids A 1992; 4:2927-2929.
    • (1992) Physics of Fluids A , vol.4 , pp. 2927-2929
    • Ronchi, C.1    Ypma, M.2    Canuto, V.M.3
  • 29
    • 0001131360 scopus 로고    scopus 로고
    • Dynamic testing of subgrid models in large eddy simulation based on the Germano identity
    • Meneveau C, Katz J. Dynamic testing of subgrid models in large eddy simulation based on the Germano identity. Physics of Fluids 1999; 11:245-247.
    • (1999) Physics of Fluids , vol.11 , pp. 245-247
    • Meneveau, C.1    Katz, J.2
  • 30
    • 0035425360 scopus 로고    scopus 로고
    • if: An issue in the dynamic approach
    • if: an issue in the dynamic approach. Physics of Fluids 2001; 13:2373-2385.
    • (2001) Physics of Fluids , vol.13 , pp. 2373-2385
    • Brun, C.1    Friedrich, R.2
  • 32
    • 0001416793 scopus 로고
    • Theory of invariants
    • Eringen AC (ed.). Academic Press: New York
    • Spencer AJM. Theory of invariants. In Continuum Physics, Eringen AC (ed.). Academic Press: New York, 1971.
    • (1971) Continuum Physics
    • Spencer, A.J.M.1
  • 33
    • 0027786372 scopus 로고
    • On explicit algebraic stress models for complex turbulent flows
    • Gatski TB, Speziale CG. On explicit algebraic stress models for complex turbulent flows. Journal of Fluid Mechanics 1993; 254:59-78.
    • (1993) Journal of Fluid Mechanics , vol.254 , pp. 59-78
    • Gatski, T.B.1    Speziale, C.G.2
  • 36
    • 0003851796 scopus 로고
    • Oxford Applied Mathematics and Computing Science Series. Oxford University Press: Tokyo
    • Kondo J. Integral Equations. Oxford Applied Mathematics and Computing Science Series. Oxford University Press: Tokyo, 1991.
    • (1991) Integral Equations
    • Kondo, J.1
  • 37
    • 1542708057 scopus 로고    scopus 로고
    • An efficient solution scheme for applying the integral type dynamic localization subgrid-scale model in turbulence with homogeneous directions
    • Wang B-C, Bergstrom DJ. An efficient solution scheme for applying the integral type dynamic localization subgrid-scale model in turbulence with homogeneous directions. Numerical Heat Transfer: Part B 2004; 45:201-220.
    • (2004) Numerical Heat Transfer , vol.45 , Issue.PART B , pp. 201-220
    • Wang, B.C.1    Bergstrom, D.J.2
  • 40
    • 0018327840 scopus 로고
    • Novel experimental facility for the study of plane Couette flow
    • Aydin M, Leutheusser HJ. Novel experimental facility for the study of plane Couette flow. Review of Scientific Instruments 1979; 50:1362-1366.
    • (1979) Review of Scientific Instruments , vol.50 , pp. 1362-1366
    • Aydin, M.1    Leutheusser, H.J.2
  • 41
    • 0026223369 scopus 로고
    • Plane-Couette flow between smooth and rough walls
    • Aydin EM, Leutheusser HJ. Plane-Couette flow between smooth and rough walls. Experiments in Fluids 1991; 11:302-312.
    • (1991) Experiments in Fluids , vol.11 , pp. 302-312
    • Aydin, E.M.1    Leutheusser, H.J.2
  • 44
    • 0026203926 scopus 로고
    • Direct simulation of turbulent spots in plane Couette flow
    • Lundbladh A, Johansson AV. Direct simulation of turbulent spots in plane Couette flow. Journal of Fluid Mechanics 1991; 229:499-516.
    • (1991) Journal of Fluid Mechanics , vol.229 , pp. 499-516
    • Lundbladh, A.1    Johansson, A.V.2
  • 46
    • 0028976489 scopus 로고
    • Regeneration mechanisms of near-wall turbulence structures
    • Hamilton JM, Kim J, Waleffe F. Regeneration mechanisms of near-wall turbulence structures. Journal of Fluid Mechanics 1995; 287:317-348.
    • (1995) Journal of Fluid Mechanics , vol.287 , pp. 317-348
    • Hamilton, J.M.1    Kim, J.2    Waleffe, F.3
  • 48
    • 0035951045 scopus 로고    scopus 로고
    • Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst
    • Kawahara G, Kinda S. Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst. Journal of Fluid Mechanics 2001; 449:291-300.
    • (2001) Journal of Fluid Mechanics , vol.449 , pp. 291-300
    • Kawahara, G.1    Kinda, S.2
  • 49
    • 0036414891 scopus 로고    scopus 로고
    • Reynolds stress budgets in Couette and boundary layer flows
    • Komminaho J, Skote M. Reynolds stress budgets in Couette and boundary layer flows. Flow, Turbulence and Combustion 2002; 68:167-192.
    • (2002) Flow, Turbulence and Combustion , vol.68 , pp. 167-192
    • Komminaho, J.1    Skote, M.2
  • 50
    • 0014555107 scopus 로고
    • Some observations on skin friction and velocity profiles in fully developed pipe and channel flows
    • Patel VC, Head MR. Some observations on skin friction and velocity profiles in fully developed pipe and channel flows. Journal of Fluid Mechanics 1969; 38:181-201.
    • (1969) Journal of Fluid Mechanics , vol.38 , pp. 181-201
    • Patel, V.C.1    Head, M.R.2
  • 51
    • 0016101442 scopus 로고
    • The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow
    • Eckelmann H. The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. Journal of Fluid Mechanics 1974; 65:439-459.
    • (1974) Journal of Fluid Mechanics , vol.65 , pp. 439-459
    • Eckelmann, H.1
  • 52
    • 0023155294 scopus 로고
    • Turbulence statistics in fully developed channel flow at low Reynolds number
    • Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. Journal of Fluid Mechanics 1987; 177:133-166.
    • (1987) Journal of Fluid Mechanics , vol.177 , pp. 133-166
    • Kim, J.1    Moin, P.2    Moser, R.3
  • 53
    • 0026143059 scopus 로고
    • The minimal flow unit in near-wall turbulence
    • Jiménez J, Moin P. The minimal flow unit in near-wall turbulence. Journal of Fluid Mechanics 1991; 225: 213-240.
    • (1991) Journal of Fluid Mechanics , vol.225 , pp. 213-240
    • Jiménez, J.1    Moin, P.2
  • 54
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • Kim J, Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics 1985; 59:308-323.
    • (1985) Journal of Computational Physics , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 55
    • 0020844260 scopus 로고
    • Numerical study of the turbulent flow past an airfoil with trailing edge separation
    • Rhie CM, Chow WL. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA Journal 1983; 21:1525-1532.
    • (1983) AIAA Journal , vol.21 , pp. 1525-1532
    • Rhie, C.M.1    Chow, W.L.2
  • 57
    • 0001957739 scopus 로고
    • General circulation experiments with the primitive equation, I. The basic experiment
    • Smagorinsky J. General circulation experiments with the primitive equation, I. The basic experiment. Monthly Weather Review 1963; 91:99-165.
    • (1963) Monthly Weather Review , vol.91 , pp. 99-165
    • Smagorinsky, J.1
  • 58
    • 85149532828 scopus 로고
    • The analogy between fluid friction and heat transfer
    • von Kármán Th. The analogy between fluid friction and heat transfer. Transactions of the ASME 1939; 61: 705-710.
    • (1939) Transactions of the ASME , vol.61 , pp. 705-710
    • von Kármán, T.H.1
  • 59
    • 0027396147 scopus 로고
    • A proper velocity scale for modelling subgrid-scale eddy viscosities in large eddy simulation
    • Horiuti K. A proper velocity scale for modelling subgrid-scale eddy viscosities in large eddy simulation. Physics of Fluids A 1993; 5:146-157.
    • (1993) Physics of Fluids A , vol.5 , pp. 146-157
    • Horiuti, K.1
  • 60
    • 0030239579 scopus 로고    scopus 로고
    • Zonal embedded grids for numerical simulations of wall-bounded turbulent flows
    • Kravchenko AG, Moin P, Moser R. Zonal embedded grids for numerical simulations of wall-bounded turbulent flows. Journal of Computational Physics 1996; 127:412-423.
    • (1996) Journal of Computational Physics , vol.127 , pp. 412-423
    • Kravchenko, A.G.1    Moin, P.2    Moser, R.3
  • 61
    • 0019999265 scopus 로고
    • Numerical investigation of turbulence channel flow
    • Moin P, Kim J. Numerical investigation of turbulence channel flow. Journal of Fluid Mechanics 1982; 118: 341-377.
    • (1982) Journal of Fluid Mechanics , vol.118 , pp. 341-377
    • Moin, P.1    Kim, J.2
  • 62
    • 0031280564 scopus 로고    scopus 로고
    • A new dynamic two-parameter mixed model for large-eddy simulation
    • Horiuti K. A new dynamic two-parameter mixed model for large-eddy simulation. Physics of Fluids 1997; 9:3443-3464.
    • (1997) Physics of Fluids , vol.9 , pp. 3443-3464
    • Horiuti, K.1
  • 64
    • 29944431618 scopus 로고    scopus 로고
    • Lecture Notes for the 9th Annual Conference of the CFD Society of Canada, Waterloo, Ontario
    • Piomelli U. Large-Eddy and Direct Simulation of Turbulent Flows. Lecture Notes for the 9th Annual Conference of the CFD Society of Canada, Waterloo, Ontario, 2001.
    • (2001) Large-Eddy and Direct Simulation of Turbulent Flows
    • Piomelli, U.1
  • 65
    • 0003987999 scopus 로고    scopus 로고
    • Cambridge University Press: Cambridge, MA
    • Pope SB. Turbulent Flows. Cambridge University Press: Cambridge, MA, 2000.
    • (2000) Turbulent Flows
    • Pope, S.B.1
  • 66
    • 0028555448 scopus 로고
    • On the formulation of the dynamic mixed subgrid-scale model
    • Vreman B, Geurts B, Kuerten H. On the formulation of the dynamic mixed subgrid-scale model. Physics of Fluids 1994; 6:4057-4059.
    • (1994) Physics of Fluids , vol.6 , pp. 4057-4059
    • Vreman, B.1    Geurts, B.2    Kuerten, H.3
  • 67
    • 0842311312 scopus 로고    scopus 로고
    • An integral type dynamic localization two-parameter subgrid-scale model: Formulation and simulation
    • Wang B-C, Bergstrom DJ. An integral type dynamic localization two-parameter subgrid-scale model: formulation and simulation. International Journal of Computational Fluid Dynamics 2004; 18:209-220.
    • (2004) International Journal of Computational Fluid Dynamics , vol.18 , pp. 209-220
    • Wang, B.C.1    Bergstrom, D.J.2
  • 68
    • 0037172073 scopus 로고    scopus 로고
    • Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements
    • Tao B, Katz J, Meneveau C. Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements. Journal of Fluid Mechanics 2002; 457:35-78.
    • (2002) Journal of Fluid Mechanics , vol.457 , pp. 35-78
    • Tao, B.1    Katz, J.2    Meneveau, C.3
  • 69
    • 0036639926 scopus 로고    scopus 로고
    • Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetty measurements
    • van der Bos F, Tao B, Meneveau C, Katz J. Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetty measurements. Physics of Fluids 14: 2456-2474.
    • Physics of Fluids , vol.14 , pp. 2456-2474
    • van der Bos, F.1    Tao, B.2    Meneveau, C.3    Katz, J.4
  • 70
    • 0142059735 scopus 로고    scopus 로고
    • Roles of non-aligned eigenvectors of strain-rate and subgrid-scale stress tensors in turbulence generation
    • Horiuti K. Roles of non-aligned eigenvectors of strain-rate and subgrid-scale stress tensors in turbulence generation. Journal of Fluid Mechanics 2003; 491:65-100.
    • (2003) Journal of Fluid Mechanics , vol.491 , pp. 65-100
    • Horiuti, K.1
  • 71
    • 0028668279 scopus 로고
    • Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence
    • Pullin DI, Saffman PG. Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence. Physics of Fluids 1994; 6:1787-1796.
    • (1994) Physics of Fluids , vol.6 , pp. 1787-1796
    • Pullin, D.I.1    Saffman, P.G.2
  • 72
    • 0031450963 scopus 로고    scopus 로고
    • A vortex-based subgrid stress model for large-eddy simulation
    • Misra A, Pullin DI. A vortex-based subgrid stress model for large-eddy simulation. Physics of Fluids 1997; 9:2443-2454.
    • (1997) Physics of Fluids , vol.9 , pp. 2443-2454
    • Misra, A.1    Pullin, D.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.