Three-dimensional convection in spherical shells
作者:
Philippe Machetel,
Michel Rabinowicz,
Pierre Bernardet,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1986)
卷期:
Volume 37,
issue 1-2
页码: 57-84
ISSN:0309-1929
年代: 1986
DOI:10.1080/03091928608210091
出版商: Taylor & Francis Group
关键词: 3D convection;spherical shells;plumes
数据来源: Taylor
摘要:
In this study, the equations of the three-dimensional convective motion of an infinite Prandtl number fluid are solved in spherical geometry, for Rayleigh numbers up to 15 times the critical number. An iterative method is used to find stationary solutions. The spherical parts of the operators are treated using a Galerkin collocation method while the radial and time dependences are expressed using finite difference methods. A systematic search for stationary solutions has led to eight different stream patterns for a low Rayleigh number (1.28 times the critical number). They can be classified as:
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