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Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method
Cai, Tao1; Chan, Kwing L.1; Deng, Licai2
2011-10-01
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
Volume230Issue:24Pages:8698-8712
AbstractA semi-implicit multi-layer spherical spectral method for simulating stellar core convection is described. The fully compressible three-dimensional hydrodynamic equations with rotation and energy generation are solved. Prognostic variables are expressed as finite sums of spherical harmonics in the horizontal directions and handled by the finite difference method in the radial direction. The stratified approximation is used to simplify the nonlinearity to quadratic. A multi-layer scheme is employed to overcome the time step problem arising from shrinking grid sizes in the physical space near the center of the star. Despite of the different spectral truncations in different layers, round-off conservation of the total mass and total angular momentum of the whole domain can be maintained, and were confirmed numerically. The code is parallelized; with 12 processors the speedup factor is about 9. The solutions of model core convection with and without rotation are discussed. (C) 2011 Elsevier Inc. All rights reserved.
KeywordSpherical Spectral Method Multi-layer Scheme Turbulence Core Convection
DOI10.1016/j.jcp.2011.08.014
Indexed BySCI
Language英语
WOS IDWOS:000297081700004
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/7972
Collection光学天文研究部
Affiliation1.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, Natl Astron Observ, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Cai, Tao,Chan, Kwing L.,Deng, Licai. Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2011,230(24):8698-8712.
APA Cai, Tao,Chan, Kwing L.,&Deng, Licai.(2011).Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method.JOURNAL OF COMPUTATIONAL PHYSICS,230(24),8698-8712.
MLA Cai, Tao,et al."Numerical simulation of core convection by a multi-layer semi-implicit spherical spectral method".JOURNAL OF COMPUTATIONAL PHYSICS 230.24(2011):8698-8712.
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