The realizable Markovian closure and realizable test-field model .2. Application to anisotropic drift-wave dynamics

被引:44
作者
Bowman, JC
Krommes, JA
机构
[1] PRINCETON UNIV, PLASMA PHYS LAB, PRINCETON, NJ 08543 USA
[2] PRINCETON UNIV, PLASMA PHYS LAB, PRINCETON, NJ 08543 USA
[3] MAX PLANCK INST PLASMA PHYS, EURATOM ASSOC, D-85748 GARCHING, GERMANY
关键词
D O I
10.1063/1.872510
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
The test-field model is shown to be potentially nonrealizable in the presence of linear waves such as those frequently encountered in models of plasma and geophysical turbulence. A new statistical closure, the realizable test-field model (RTFM), is proposed as a remedy. Both the damping rate and frequency are renormalized to account for nonlinear damping and frequency shifts. Like the realizable Markovian closure (RMC), the RTFM is based on a modified fluctuation-dissipation ansatz. Numerical solutions of the RTFM, RMC, and direct-interaction approximation for the Hasegawa-Mima equation are presented; rough agreement with direct numerical solution is found. The number of retained Fourier modes is dramatically reduced with an anisotropic generalization of a recently developed wave-number partitioning scheme. (C) 1997 American Institute of Physics.
引用
收藏
页码:3895 / 3909
页数:15
相关论文
共 46 条
[1]   ON THE VARIATIONAL METHOD OF CLOSURE IN THE THEORY OF TURBULENCE [J].
BAZDENKOV, SV ;
KUKHARKIN, NN .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (09) :2248-2254
[2]  
BELINICHER VI, 1987, ZH EKSP TEOR FIZ, V66, P303
[3]  
Bowman J. C., 1996, Journal of Scientific Computing, V11, P343, DOI 10.1007/BF02088952
[4]   THE REALIZABLE MARKOVIAN CLOSURE .1. GENERAL-THEORY, WITH APPLICATION TO 3-WAVE DYNAMICS [J].
BOWMAN, JC ;
KROMMES, JA ;
OTTAVIANI, M .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1993, 5 (10) :3558-3589
[5]   On inertial-range scaling laws [J].
Bowman, JC .
JOURNAL OF FLUID MECHANICS, 1996, 306 :167-181
[6]  
BOWMAN JC, 1992, THESIS PRINCETON U P
[7]  
BOWMAN JC, 1988, B AM PHYS SOC, V33, P2022
[8]  
Charney J.G., 1948, GEOFYS PUBL, V17, P3
[9]  
DANNEVIK WP, 1990, COMMUNICATION
[10]   NONLINEAR THEORY OF DRIFT-WAVE TURBULENCE AND ENHANCED DIFFUSION [J].
DUPREE, TH .
PHYSICS OF FLUIDS, 1967, 10 (05) :1049-&