메뉴 건너뛰기




Volumn 101, Issue 14, 2008, Pages

Hyperviscosity, galerkin truncation, and bottlenecks in turbulence

Author keywords

[No Author keywords available]

Indexed keywords

FINITE-RANGE; FOURIER MODES; GALERKIN TRUNCATION; HIGH POWERS; HYDRODYNAMICAL EQUATIONS; HYPERVISCOSITY; LAPLACIAN; THERMALIZATION; VISCOUS DYNAMICS; WAVE NUMBERS;

EID: 53449092653     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.144501     Document Type: Article
Times cited : (199)

References (34)
  • 1
    • 24444452713 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.56.1905
    • U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. 56, 1905 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett.56.1905
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1905
    • Frisch, U.1    Hasslacher, B.2    Pomeau, Y.3
  • 2
    • 4243372839 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.60.2738
    • S. Succi, P. Santangelo, and R. Benzi, Phys. Rev. Lett. 60, 2738 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.60.2738
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2738
    • Succi, S.1    Santangelo, P.2    Benzi, R.3
  • 4
    • 0002120259 scopus 로고
    • QAMAAY 0033-569X
    • T.D. Lee, Q. Appl. Math. QAMAAY 0033-569X 10, 69 (1952).
    • (1952) Q. Appl. Math. , vol.10 , pp. 69
    • Lee, T.D.1
  • 5
    • 0004901160 scopus 로고
    • PFLDAS 0031-9171 10.1063/1.1762412
    • R.H. Kraichnan, Phys. Fluids PFLDAS 0031-9171 10, 2080 (1967). 10.1063/1.1762412
    • (1967) Phys. Fluids , vol.10 , pp. 2080
    • Kraichnan, R.H.1
  • 6
    • 6944256799 scopus 로고    scopus 로고
    • A similar mechanism, involving sound waves, explains why superfluid and ordinary turbulence can be similar; see PRLTAO 0031-9007 10.1103/PhysRevLett.78. 3896
    • A similar mechanism, involving sound waves, explains why superfluid and ordinary turbulence can be similar; see C. Nore, M. Abid, and M.E. Brachet, Phys. Rev. Lett. 78, 3896 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.3896
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3896
    • Nore, C.1    Abid, M.2    Brachet, M.E.3
  • 7
    • 0027060010 scopus 로고
    • JPYOBT 0022-3670 10.1175/1520-0485(1992)022<1033:RTSFLS>2. 0.CO;2
    • G. Holloway, J. Phys. Oceanogr. 22, 1033 (1992); JPYOBT 0022-3670 10.1175/1520-0485(1992)022<1033:RTSFLS>2.0.CO;2
    • (1992) J. Phys. Oceanogr. , vol.22 , pp. 1033
    • Holloway, G.1
  • 8
    • 84956274436 scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/29/9/006
    • V. Borue and S.A. Orszag, Europhys. Lett. 29, 687 (1995); EULEEJ 0295-5075 10.1209/0295-5075/29/9/006
    • (1995) Europhys. Lett. , vol.29 , pp. 687
    • Borue, V.1    Orszag, S.A.2
  • 9
    • 42749107331 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.70.026405
    • N.E.L. Haugen and A. Brandenburg, Phys. Rev. E 70, 026405 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.026405
    • (2004) Phys. Rev. e , vol.70 , pp. 026405
    • Haugen, N.E.L.1    Brandenburg, A.2
  • 11
    • 0345632332 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.109.1407
    • R.H. Kraichnan, Phys. Rev. 109, 1407 (1958). While introducing the DIA here, Kraichnan wrote the following about Galerkin truncation: "We may regard this as the introduction of infinite damping (infinite resistance) for the degrees of freedom removed." PHRVAO 0031-899X 10.1103/PhysRev.109.1407
    • (1958) Phys. Rev. , vol.109 , pp. 1407
    • Kraichnan, R.H.1
  • 12
    • 0028668837 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112094003861
    • J. Jiménez, J. Fluid Mech. 279, 169 (1994), notes that "An interesting property of the hyperviscous solutions is the sharpness of their spectral cutoff, which goes from smooth Gaussian..., to a step function in the ultraviscosity limit." JFLSA7 0022-1120 10.1017/S0022112094003861
    • (1994) J. Fluid Mech. , vol.279 , pp. 169
    • Jiménez, J.1
  • 13
    • 0028388237 scopus 로고
    • JSCOEB 0885-7474 10.1007/BF01573179
    • J.P. Boyd, J. Sci. Comput. 9, 81 (1994), obtained a truncation result for the linear hyperdiffusion equation. JSCOEB 0885-7474 10.1007/BF01573179
    • (1994) J. Sci. Comput. , vol.9 , pp. 81
    • Boyd, J.P.1
  • 14
    • 0002344573 scopus 로고
    • Proceedings of the Les Houches Summer School, Session XXIV, edited by R. Balian and J.L. Peube (Gordon and Breach, New York
    • S.A. Orszag, in Fluid Dynamics, Proceedings of the Les Houches Summer School, Session XXIV, edited by, R. Balian, and, J.L. Peube, (Gordon and Breach, New York, 1977), p. 237.
    • (1977) Fluid Dynamics , pp. 237
    • Orszag, S.A.1
  • 16
    • 0016092560 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112074001303
    • U. Frisch, M. Lesieur, and A. Brissaud, J. Fluid Mech. 65, 145 (1974). JFLSA7 0022-1120 10.1017/S0022112074001303
    • (1974) J. Fluid Mech. , vol.65 , pp. 145
    • Frisch, U.1    Lesieur, M.2    Brissaud, A.3
  • 17
    • 33746741645 scopus 로고    scopus 로고
    • PHFLE6 1070-6631 10.1063/1.2219766
    • W.J.T. Bos and J.-P. Bertoglio, Phys. Fluids PHFLE6 1070-6631 18, 071701 (2006). 10.1063/1.2219766
    • (2006) Phys. Fluids , vol.18 , pp. 071701
    • Bos, W.J.T.1    Bertoglio, J.-P.2
  • 18
    • 0018454350 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112079000343
    • J.R. Herring and R.H. Kraichnan, J. Fluid Mech. 91, 581 (1979). JFLSA7 0022-1120 10.1017/S0022112079000343
    • (1979) J. Fluid Mech. , vol.91 , pp. 581
    • Herring, J.R.1    Kraichnan, R.H.2
  • 19
    • 0001109248 scopus 로고
    • PFLDAS 0031-9171 10.1063/1.1711357
    • R.H. Kraichnan, Phys. Fluids PFLDAS 0031-9171 7, 1163 (1964). 10.1063/1.1711357
    • (1964) Phys. Fluids , vol.7 , pp. 1163
    • Kraichnan, R.H.1
  • 20
    • 0036501083 scopus 로고    scopus 로고
    • Scheme ETD4RK of JCTPAH 0021-9991 10.1006/jcph.2002.6995
    • Scheme ETD4RK of C.M. Cox and P.C. Matthews, J. Comput. Phys. 176, 430 (2002). JCTPAH 0021-9991 10.1006/jcph.2002.6995
    • (2002) J. Comput. Phys. , vol.176 , pp. 430
    • Cox, C.M.1    Matthews, P.C.2
  • 22
    • 34547490108 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.76.024520
    • V. L'vov, S. Nazarenko, and O. Rudenko, Phys. Rev. B PRBMDO 0163-1829 76, 024520 (2007). 10.1103/PhysRevB.76.024520
    • (2007) Phys. Rev. B , vol.76 , pp. 024520
    • L'Vov, V.1    Nazarenko, S.2    Rudenko, O.3
  • 23
    • 0028449240 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112094001370
    • S.G. Saddoughi and S.V. Veeravalli, J. Fluid Mech. 268, 333 (1994). JFLSA7 0022-1120 10.1017/S0022112094001370
    • (1994) J. Fluid Mech. , vol.268 , pp. 333
    • Saddoughi, S.G.1    Veeravalli, S.V.2
  • 24
    • 37649027923 scopus 로고    scopus 로고
    • As shown by PLEEE8 1063-651X 10.1103/PhysRevE.68.026304
    • As shown by W. Dobler, N.E.L. Haugen, T.A. Yousef, and A. Brandenburg, Phys. Rev. E 68, 026304 (2003), the 1D spectrum, generally measured in experiments, may not display a bottleneck even if the 3D spectrum does. PLEEE8 1063-651X 10.1103/PhysRevE.68.026304
    • (2003) Phys. Rev. e , vol.68 , pp. 026304
    • Dobler, W.1    Haugen, N.E.L.2    Yousef, T.A.3    Brandenburg, A.4
  • 27
    • 45849155401 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.69.066313
    • S. Kurien, M.A. Taylor, and T. Matsumoto, Phys. Rev. E 69, 066313 (2004); PLEEE8 1063-651X 10.1103/PhysRevE.69.066313
    • (2004) Phys. Rev. e , vol.69 , pp. 066313
    • Kurien, S.1    Taylor, M.A.2    Matsumoto, T.3
  • 28
    • 64349108465 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/80/54001
    • J. Schumacher, Europhys. Lett. 80, 54001 (2007); EULEEJ 0295-5075 10.1209/0295-5075/80/54001
    • (2007) Europhys. Lett. , vol.80 , pp. 54001
    • Schumacher, J.1
  • 29
    • 40949123117 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.77.036306
    • P.D. Mininni, A. Alexakis, and A. Pouquet, Phys. Rev. E 77, 036306 (2008). PLEEE8 1063-651X 10.1103/PhysRevE.77.036306
    • (2008) Phys. Rev. e , vol.77 , pp. 036306
    • Mininni, P.D.1    Alexakis, A.2    Pouquet, A.3
  • 30
    • 36449009439 scopus 로고
    • PHFLE6 1070-6631 10.1063/1.868255
    • G. Falkovich, Phys. Fluids PHFLE6 1070-6631 6, 1411 (1994); 10.1063/1.868255
    • (1994) Phys. Fluids , vol.6 , pp. 1411
    • Falkovich, G.1
  • 31
    • 10844232588 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.74.1747
    • D. Lohse and A. Müller-Groeling, Phys. Rev. Lett. 74, 1747 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.1747
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1747
    • Lohse, D.1    Müller-Groeling, A.2
  • 34
    • 33746413801 scopus 로고    scopus 로고
    • For α=1 a lull in the growth of intermittency at bottleneck scales may already be observed; cf. Fig. 2, panel R4 of CPLEEU 0256-307X 10.1088/0256-307X/23/8/049
    • For α=1 a lull in the growth of intermittency at bottleneck scales may already be observed; cf. Fig. 2, panel R4 of J.-Z. Zhu, Chin. Phys. Lett. 23, 2139 (2006). CPLEEU 0256-307X 10.1088/0256-307X/23/8/049
    • (2006) Chin. Phys. Lett. , vol.23 , pp. 2139
    • Zhu, J.-Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.