메뉴 건너뛰기




Volumn 19, Issue 1, 2007, Pages

Material deformation in a restricted Euler model for turbulent flows: Analytic solution and numerical tests

Author keywords

Deformation; Eigenvalues and eigenfunctions; Flow simulation; Navier Stokes equations; Numerical analysis; Turbulence

Indexed keywords

DEFORMATION; DIRECT NUMERICAL SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; TENSORS; TURBULENCE;

EID: 33847795312     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2432913     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0020142958 scopus 로고
    • "Local interaction between vorticity and shear in a perfect incompressible fluid"
    • jpz JOPQAG 0302-0738
    • P. Vieillefosse, "Local interaction between vorticity and shear in a perfect incompressible fluid," J. Phys. (France) 43, 837 (1982). jpz JOPQAG 0302-0738
    • (1982) J. Phys. (France) , vol.43 , pp. 837
    • Vieillefosse, P.1
  • 2
    • 18844449791 scopus 로고
    • "Exact solution of a restricted Euler equation for the velocity gradient tensor"
    • pfa PFADEB 0899-8213 10.1063/1.858295
    • B. J. Cantwell, "Exact solution of a restricted Euler equation for the velocity gradient tensor," Phys. Fluids A 4, 782 (1992). pfa PFADEB 0899-8213 10.1063/1.858295
    • (1992) Phys. Fluids A , vol.4 , pp. 782
    • Cantwell, B.J.1
  • 3
    • 0032159683 scopus 로고    scopus 로고
    • "Dynamics of the velocity gradient tensor invariants in isotropic turbulence"
    • phf PHFLE6 1070-6631 10.1063/1.869752
    • J. Martin, A. Ooi, M. S. Chong, and J. Soria, "Dynamics of the velocity gradient tensor invariants in isotropic turbulence, " Phys. Fluids 10, 2336 (1998). phf PHFLE6 1070-6631 10.1063/1.869752
    • (1998) Phys. Fluids , vol.10 , pp. 2336
    • Martin, J.1    Ooi, A.2    Chong, M.S.3    Soria, J.4
  • 4
    • 0032306444 scopus 로고    scopus 로고
    • "The structure and dynamics of vorticity and rate of strain in incompressible homogeneous turbulence"
    • jfl JFLSA7 0022-1120 10.1017/S0022112098003024
    • K. K. Nomura and G. K. Post, "The structure and dynamics of vorticity and rate of strain in incompressible homogeneous turbulence," J. Fluid Mech. 377, 65 (1998). jfl JFLSA7 0022-1120 10.1017/S0022112098003024
    • (1998) J. Fluid Mech. , vol.377 , pp. 65
    • Nomura, K.K.1    Post, G.K.2
  • 5
    • 0032666920 scopus 로고    scopus 로고
    • "A study of evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence"
    • jfl JFLSA7 0022-1120 10.1017/S0022112098003681
    • A. Ooi, J. Martin, J. Soria, and M. S. Chong, "A study of evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence," J. Fluid Mech. 381, 141 (1999). jfl JFLSA7 0022-1120 10.1017/S0022112098003681
    • (1999) J. Fluid Mech. , vol.381 , pp. 141
    • Ooi, A.1    Martin, J.2    Soria, J.3    Chong, M.S.4
  • 6
    • 18144412761 scopus 로고    scopus 로고
    • "Lagrangian measurement of vorticity dynamics in turbulent flow"
    • jfl JFLSA7 0022-1120 10.1017/S0022112004003283
    • B. Lüthi, A. Tsinober, and W. Kinzelbach, "Lagrangian measurement of vorticity dynamics in turbulent flow," J. Fluid Mech. 528, 87 (2005). jfl JFLSA7 0022-1120 10.1017/S0022112004003283
    • (2005) J. Fluid Mech. , vol.528 , pp. 87
    • Lüthi, B.1    Tsinober, A.2    Kinzelbach, W.3
  • 7
    • 22144484877 scopus 로고    scopus 로고
    • "On the evolution of material lines and vorticity in homogeneous turbulence"
    • jfl JFLSA7 0022-1120
    • M. Guala, B. Lüthi, A. Liberzon, A. Tsinober, and W. Kinzelbach, "On the evolution of material lines and vorticity in homogeneous turbulence," J. Fluid Mech. 533, 339 (2005). jfl JFLSA7 0022-1120
    • (2005) J. Fluid Mech. , vol.533 , pp. 339
    • Guala, M.1    Lüthi, B.2    Liberzon, A.3    Tsinober, A.4    Kinzelbach, W.5
  • 8
    • 0036639926 scopus 로고    scopus 로고
    • "Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetry measurements"
    • phf PHFLE6 1070-6631 10.1063/1.1472506
    • F. van der Bos, B. Tao, C. Meneveau, and J. Katz, "Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetry measurements," Phys. Fluids 14, 2456 (2002). phf PHFLE6 1070-6631 10.1063/1.1472506
    • (2002) Phys. Fluids , vol.14 , pp. 2456
    • van der Bos, F.1    Tao, B.2    Meneveau, C.3    Katz, J.4
  • 9
    • 0023147375 scopus 로고
    • "Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence"
    • pfl PFLDAS 0031-9171 10.1063/1.866513
    • W. T. Ashurst, A. R. Kerstein, R. M. Kerr, and C. H. Gibson, " Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence," Phys. Fluids 30, 2343 (1987). pfl PFLDAS 0031-9171 10.1063/1.866513
    • (1987) Phys. Fluids , vol.30 , pp. 2343
    • Ashurst, W.T.1    Kerstein, A.R.2    Kerr, R.M.3    Gibson, C.H.4
  • 10
    • 0026799539 scopus 로고
    • "Experimental investigation of the field of velocity-gradients in turbulent flows"
    • jfl JFLSA7 0022-1120 10.1017/S0022112092002325
    • A. Tsinober, E. Kit, and T. Dracos, "Experimental investigation of the field of velocity-gradients in turbulent flows," J. Fluid Mech. 242, 169 (1992). jfl JFLSA7 0022-1120 10.1017/S0022112092002325
    • (1992) J. Fluid Mech. , vol.242 , pp. 169
    • Tsinober, A.1    Kit, E.2    Dracos, T.3
  • 11
    • 0028668284 scopus 로고
    • "An improved measure of strain state probability in turbulent flows"
    • phf PHFLE6 1070-6631 10.1063/1.868440
    • T. S. Lund and M. M. Rogers, "An improved measure of strain state probability in turbulent flows," Phys. Fluids 6, 1838 (1994). phf PHFLE6 1070-6631 10.1063/1.868440
    • (1994) Phys. Fluids , vol.6 , pp. 1838
    • Lund, T.S.1    Rogers, M.M.2
  • 12
    • 0001100912 scopus 로고
    • "A diffusion model for velocity gradients in turbulence"
    • pfa PFADEB 0899-8213 10.1063/1.857773
    • S. S. Girimaji and S. B. Pope, "A diffusion model for velocity gradients in turbulence," Phys. Fluids A 2, 242 (1990). pfa PFADEB 0899-8213 10.1063/1.857773
    • (1990) Phys. Fluids A , vol.2 , pp. 242
    • Girimaji, S.S.1    Pope, S.B.2
  • 13
    • 0000657080 scopus 로고    scopus 로고
    • "Lagrangian tetrad dynamics and the phenomenology of turbulence"
    • phf PHFLE6 1070-6631 10.1063/1.870101
    • M. Chertkov, A. Pumir, and B. I. Shraiman, "Lagrangian tetrad dynamics and the phenomenology of turbulence," Phys. Fluids 11, 2394 (1999). phf PHFLE6 1070-6631 10.1063/1.870101
    • (1999) Phys. Fluids , vol.11 , pp. 2394
    • Chertkov, M.1    Pumir, A.2    Shraiman, B.I.3
  • 14
    • 0042261113 scopus 로고    scopus 로고
    • "Velocity-gradient dynamics in turbulence: Effect of viscosity and forcing"
    • tcf TCFDEP 0935-4964 10.1007/s00162-002-0084-7
    • E. Jeong and S. S. Girimaji, "Velocity-gradient dynamics in turbulence: Effect of viscosity and forcing," Theor. Comput. Fluid Dyn. 16, 421 (2003). tcf TCFDEP 0935-4964 10.1007/s00162-002-0084-7
    • (2003) Theor. Comput. Fluid Dyn. , vol.16 , pp. 421
    • Jeong, E.1    Girimaji, S.S.2
  • 15
    • 28844482934 scopus 로고    scopus 로고
    • "Scale dependence of the coarse-grained velocity derivative tensor structure in turbulence"
    • pre PLEEE8 1063-651X 10.1103/PhysRevE.72.056318
    • A. Naso and A. Pumir, "Scale dependence of the coarse-grained velocity derivative tensor structure in turbulence," Phys. Rev. E 72, 056318 (2005). pre PLEEE8 1063-651X 10.1103/PhysRevE.72.056318
    • (2005) Phys. Rev. E , vol.72 , pp. 056318
    • Naso, A.1    Pumir, A.2
  • 16
    • 33750397254 scopus 로고    scopus 로고
    • "Lagrangian dynamics and statistical geometric structure of turbulence"
    • prl PRLTAO 0031-9007 10.1103/PhysRevLett.97.174501
    • L. Chevillard and C. Meneveau, "Lagrangian dynamics and statistical geometric structure of turbulence," Phys. Rev. Lett. 97, 174501 (2006). prl PRLTAO 0031-9007 10.1103/PhysRevLett.97.174501
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 174501
    • Chevillard, L.1    Meneveau, C.2
  • 18
    • 0025516647 scopus 로고
    • "Material element deformation in isotropic turbulence"
    • jfl JFLSA7 0022-1120 10.1017/S0022112090003330
    • S. S. Girimaji and S. B. Pope, "Material element deformation in isotropic turbulence," J. Fluid Mech. 220, 427 (1990). jfl JFLSA7 0022-1120 10.1017/S0022112090003330
    • (1990) J. Fluid Mech. , vol.220 , pp. 427
    • Girimaji, S.S.1    Pope, S.B.2
  • 19
    • 0000901607 scopus 로고
    • "Turbulent hydrodynamic line stretching: Consequences of isotropy"
    • pfl PFLDAS 0031-9171 10.1063/1.1692385
    • W. J. Cocke, "Turbulent hydrodynamic line stretching: Consequences of isotropy," Phys. Fluids 12, 2488 (1969). pfl PFLDAS 0031-9171 10.1063/1.1692385
    • (1969) Phys. Fluids , vol.12 , pp. 2488
    • Cocke, W.J.1
  • 20
    • 0001414071 scopus 로고
    • "Comments on 'Turbulent hydrodynamic line stretching: Consequences of isotropy'"
    • pfl PFLDAS 0031-9171 10.1063/1.1693223
    • S. A. Orszag, "Comments on 'Turbulent hydrodynamic line stretching: Consequences of isotropy'," Phys. Fluids 13, 2203 (1970). pfl PFLDAS 0031-9171 10.1063/1.1693223
    • (1970) Phys. Fluids , vol.13 , pp. 2203
    • Orszag, S.A.1
  • 21
    • 0000044357 scopus 로고
    • "The effects of homogeneous turbulence on material lines and surfaces"
    • prz PRLAAZ 1364-5021
    • G. K. Batchelor, "The effects of homogeneous turbulence on material lines and surfaces," Proc. R. Soc. London, Ser. A 213, 349 (1952). prz PRLAAZ 1364-5021
    • (1952) Proc. R. Soc. London, Ser. A , vol.213 , pp. 349
    • Batchelor, G.K.1
  • 22
    • 0043226178 scopus 로고    scopus 로고
    • "Persistency of material element deformation in isotropic flows and growth rate of lines and surfaces"
    • epb EPJBFY 1434-6028 10.1007/s100510050041
    • J. Duplat and E. Villermaux, "Persistency of material element deformation in isotropic flows and growth rate of lines and surfaces," Eur. Phys. J. B 18, 353 (2000). epb EPJBFY 1434-6028 10.1007/s100510050041
    • (2000) Eur. Phys. J. B , vol.18 , pp. 353
    • Duplat, J.1    Villermaux, E.2
  • 23
    • 0036143899 scopus 로고    scopus 로고
    • "Line statistics: Stretching rate of passive lines in turbulence"
    • phf PHFLE6 1070-6631 10.1063/1.1423286
    • S. Kida and S. Goto, "Line statistics: Stretching rate of passive lines in turbulence," Phys. Fluids 14, 352 (2002). phf PHFLE6 1070-6631 10.1063/1.1423286
    • (2002) Phys. Fluids , vol.14 , pp. 352
    • Kida, S.1    Goto, S.2
  • 24
    • 0032118207 scopus 로고    scopus 로고
    • "Local energy flux and subgrid-scale statistics in three-dimensional turbulence"
    • jfl JFLSA7 0022-1120 10.1017/S0022112097008306
    • V. Borue and S. A. Orszag, "Local energy flux and subgrid-scale statistics in three-dimensional turbulence," J. Fluid Mech. 366, 1 (1998). jfl JFLSA7 0022-1120 10.1017/S0022112097008306
    • (1998) J. Fluid Mech. , vol.366 , pp. 1
    • Borue, V.1    Orszag, S.A.2
  • 25
    • 0037172073 scopus 로고    scopus 로고
    • "Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements"
    • jfl JFLSA7 0022-1120 10.1017/S0022112001007443
    • B. Tao, J. Katz, and C. Meneveau, "Statistical geometry of subgrid-scale stresses determined from holographic particle image velocimetry measurements," J. Fluid Mech. 457, 35 (2002). jfl JFLSA7 0022-1120 10.1017/S0022112001007443
    • (2002) J. Fluid Mech. , vol.457 , pp. 35
    • Tao, B.1    Katz, J.2    Meneveau, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.