Hyperviscosity, galerkin truncation, and bottlenecks in turbulence

被引：146

作者：

Frisch, Uriel ^{[1
]}

Kurien, Susan ^{[2
,3
]}

Pandit, Rahul ^{[4
]}

Pauls, Walter ^{[5
]}

Ray, Samriddhi Sankar ^{[4
]}

Wirth, Achim ^{[6
]}

Zhu, Jian-Zhou ^{[2
,3
]}

机构：

[1] CNRS, UNS, OCA, Lab Cassiopee, F-06304 Nice 4, France

[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[3] Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA

[4] Indian Inst Sci, Dept Phys, Ctr Condensed Matter Theory, Bangalore 560012, Karnataka, India

[5] Max Planck Inst Dynam & Self Org, Gottingen, Germany

[6] CNRS, LEGI, Grenoble, France

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.101.144501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the use of a high power alpha of the Laplacian in the dissipative term of hydrodynamical equations leads asymptotically to truncated inviscid conservative dynamics with a finite range of spatial Fourier modes. Those at large wave numbers thermalize, whereas modes at small wave numbers obey ordinary viscous dynamics [C. Cichowlas et al., Phys. Rev. Lett. 95, 264502 (2005)]. The energy bottleneck observed for finite alpha may be interpreted as incomplete thermalization. Artifacts arising from models with alpha > 1 are discussed.

引用

页数：4

共 35 条

[1] Hamiltonian structure and statistically relevant conserved quantities for the truncated Burgers-Hopf equation [J].

Abramov, RV ;

Kovacic, G ;

Majda, AJ .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2003, 56 (01) :1-46

[2] FORCED 3-DIMENSIONAL HOMOGENEOUS TURBULENCE WITH HYPERVISCOSITY [J].

BORUE, V ;

ORSZAG, SA .

EUROPHYSICS LETTERS, 1995, 29 (09) :687-692

[3] Dynamics of spectrally truncated inviscid turbulence [J].

Bos, W. J. T. ;

Bertoglio, J. -P. .

PHYSICS OF FLUIDS, 2006, 18 (07)

[4]

Boyd J. P., 1994, Journal of Scientific Computing, V9, P81, DOI 10.1007/BF01573179

[5] Effective dissipation and turbulence in spectrally truncated euler flows -: art. no. 264502 [J].

Cichowlas, C ;

Bonaïti, P ;

Debbasch, F ;

Brachet, M .

PHYSICAL REVIEW LETTERS, 2005, 95 (26)

[6] Exponential time differencing for stiff systems [J].

Cox, SM ;

Matthews, PC .

JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 176 (02) :430-455

[7] Bottleneck effect in three-dimensional turbulence simulations [J].

Dobler, W ;

Haugen, NEL ;

Yousef, TA ;

Brandenburg, A .

PHYSICAL REVIEW E, 2003, 68 (02) :8

[8] BOTTLENECK PHENOMENON IN DEVELOPED TURBULENCE [J].

FALKOVICH, G .

PHYSICS OF FLUIDS, 1994, 6 (04) :1411-1414

[9] MARKOVIAN RANDOM COUPLING MODEL FOR TURBULENCE [J].

FRISCH, U ;

BRISSAUD, A ;

LESIEUR, M .

JOURNAL OF FLUID MECHANICS, 1974, 65 (AUG12) :145-152

[10]

FRISCH U, 1986, PHYS REV LETT, V56, P1905

← 1 2 3 4 →