Scalar dynamo models
作者:
B.J. Bayly,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1993)
卷期:
Volume 73,
issue 1-4
页码: 61-74
ISSN:0309-1929
年代: 1993
DOI:10.1080/03091929308203619
出版商: Taylor & Francis Group
关键词: Fast dynamos
数据来源: Taylor
摘要:
The equation (δt+u·∇)C=R(x,t)C+ k∇2C, is a scalar analogue of the magnetic induction equation. If the velocity fieldu(x,t) and the ‘stretching’ functionR(x,t) are explicitly given, then we have the analogue of the dynamo problem. The scalar problem displays many of the same features as the vector kinematic dynamo problem. The fastest growing modes have growth rates that approach a finite limit asK→0 while the eigenfunctions develop more and more complex structure at smaller and smaller length scales. Some insight is provided by an analysis which finds a lower bound on the growth rate that is asymptotically independent of the diffusivity.
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