A KINEMATIC MAGNETIC DYNAMO SUSTAINED BY A BELTRAMI FLOW IN A SPHERE

被引：16
|
作者：
ZHELIGOVSKY, VA [1 ]
机构：
[1] OBSERV COTE DAZUR,CNRS,URA 1362,F-06304 NICE 4,FRANCE
来源：
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS | 1993年 / 73卷 / 1-4期
关键词：
BELTRAMI FLOW; SPHERE; FAST KINEMATIC DYNAMO; MAGNETIC INDUCTION OPERATOR; TEMPORAL GROWTH RATES; MAGNETIC EIGENMODES;
D O I：
10.1080/03091929308203629
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
General features of Beltrami vector fields in a sphere are discussed. Numerical solutions of the kinematic dynamo problem of magnetic fields generation by a Beltrami flow of conducting fluid in a sphere are presented. The Beltrami flow chosen for simulations is chaotic. Maximal temporal growth rates of magnetic field are obtained for magnetic Reynolds numbers R(m) up to 200, together with associated magnetic eigenmodes for R(m) less-than-or-equal-to 100. Their behavior suggests that the dynamo under consideration is fast.
引用
收藏
页码：217 / 254
页数：38
相关论文
共 50 条
  • [1] Applications of a formula on Beltrami flow
    Zeng, Yong
    Zhang, Zhibing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (10) : 3632 - 3642
  • [2] Laplace-Beltrami Differentiability of Positive Definite Kernels on the Sphere
    M. H. CASTRO
    V. A. MENEGATTO
    C. P. OLIVEIRA
    Acta Mathematica Sinica,English Series, 2013, (01) : 93 - 104
  • [3] Laplace-Beltrami differentiability of positive definite kernels on the sphere
    M. H. Castro
    V. A. Menegatto
    C. P. Oliveira
    Acta Mathematica Sinica, English Series, 2013, 29 : 93 - 104
  • [4] Laplace-Beltrami differentiability of positive definite kernels on the sphere
    Castro, M. H.
    Menegatto, V. A.
    Oliveira, C. P.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (01) : 93 - 104
  • [5] Efficient Beltrami Flow in Patch-Space
    Wetzler, Aaron
    Kimmel, Ron
    SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, 2012, 6667 : 134 - 143
  • [6] Fast difference schemes for edge enhancing Beltrami flow
    Malladi, R
    Ravve, I
    COMPUTER VISON - ECCV 2002, PT 1, 2002, 2350 : 343 - 357
  • [7] Possible Ball-like Formations of the Beltrami Flow Field
    R. Kwang-Hua Chu
    Meccanica, 2004, 39 : 181 - 186
  • [8] Possible ball-like formations of the Beltrami flow field
    Chu, RKH
    MECCANICA, 2004, 39 (02) : 181 - 186
  • [9] Color image enhancement by a forward-and-backward adaptive Beltrami flow
    Sochen, NA
    Gilboa, G
    Zeevi, YY
    ALGEBRAIC FRAMES FOR THE PERCEPTION-ACTION CYCLE, PROCEEDINGS, 2000, 1888 : 319 - 328
  • [10] An accelerated flow around a sphere
    Kocabiyik, S
    APPLIED MATHEMATICS LETTERS, 1996, 9 (03) : 41 - 46
12345