Helicity transfer in turbulent models

被引:24
作者
Biferale, L
Pierotti, D
Toschi, F
机构
[1] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
[2] Ist Nazl Fis Mat, Unita Tor Vergata, I-00133 Rome, Italy
[3] Univ Aquila, Dipartimento Fis, I-67010 Laquila, Italy
[4] Univ Pisa, Dipartimento Fis, I-56126 Pisa, Italy
[5] Ist Nazl Fis Nucl, I-56126 Pisa, Italy
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 03期
关键词
D O I
10.1103/PhysRevE.57.R2515
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Helicity transfer in a shell model of turbulence is investigated. We show that a Reynolds-independent helicity flux is present in the model when the large scale forcing breaks inversion symmetry. The equivalent in shell models of the "2/15 law," obtained from helicity conservation in Navier-Stokes equations, is derived and tested. The odd part of the helicity flux statistics is found to be dominated by a few very intense events. In a particular model, we calculate analytically leading and subleading contributions to the scaling of triple velocity correlation.
引用
收藏
页码:R2515 / R2518
页数:4
相关论文
共 22 条
[11]   HELICAL TURBULENCE AND ABSOLUTE EQUILIBRIUM [J].
KRAICHNAN, RH .
JOURNAL OF FLUID MECHANICS, 1973, 59 (AUG7) :745-752
[12]   Cascade structures and scaling exponents in a dynamical model of turbulence: Measurements and comparison [J].
Leveque, E ;
She, ZS .
PHYSICAL REVIEW E, 1997, 55 (03) :2789-2799
[13]  
LEVICH, 1991, PHYSICA A, V170, P241
[14]  
LVOV VS, 1997, 9706018 LOS AL NAT L
[15]  
LVOV VS, 1997, 9705016 LOS AL NAT L
[16]   THE MULTIFRACTAL NATURE OF TURBULENT ENERGY-DISSIPATION [J].
MENEVEAU, C ;
SREENIVASAN, KR .
JOURNAL OF FLUID MECHANICS, 1991, 224 :429-484
[17]   TEMPORAL INTERMITTENCY IN THE ENERGY CASCADE PROCESS AND LOCAL LYAPUNOV ANALYSIS IN FULLY-DEVELOPED MODEL TURBULENCE [J].
OHKITANI, K ;
YAMADA, M .
PROGRESS OF THEORETICAL PHYSICS, 1989, 81 (02) :329-341
[18]   FURTHER RESULTS ON MULTIFRACTALITY IN SHELL MODELS [J].
PISARENKO, D ;
BIFERALE, L ;
COURVOISIER, D ;
FRISCH, U ;
VERGASSOLA, M .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (10) :2533-2538
[19]   THE NATURE OF TRIAD INTERACTIONS IN HOMOGENEOUS TURBULENCE [J].
WALEFFE, F .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (02) :350-363
[20]   LYAPUNOV SPECTRUM OF A CHAOTIC MODEL OF 3-DIMENSIONAL TURBULENCE [J].
YAMADA, M ;
OHKITANI, K .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (12) :4210-4213