Implementation of a high-order combined compact difference scheme in problems of thermally driven convection and dynamo in rotating spherical shells

研究成果: Contribution to journalArticle査読

8 被引用数 (Scopus)

抄録

We present an improved solution method for modeling thermally driven convection and dynamo in a rotating spherical shell. In this method, we introduce a high-order three-point combined compact difference scheme (CCDS) on non-uniform grid points in radius, while spherical harmonic expansion is conventionally performed in the angular direction. The governing equations in the spectral form are time-stepped together with the implicit CCDS up to the second derivative. To improve stability of the scheme, a boundary closure scheme is developed on non-uniform mesh. Numerical comparison with a published benchmark solution at moderate Ekman and Rayleigh numbers demonstrates that accuracy and convergence of the CCDS is fairly good and superior to the existing finite difference scheme using more stencil. With this scheme, we could more accurately solve problems of convection and also dynamo action in planetary core with less grid points.

本文言語英語
ページ(範囲)231-249
ページ数19
ジャーナルGeophysical and Astrophysical Fluid Dynamics
106
3
DOI
出版ステータス出版済み - 6 2012
外部発表はい

All Science Journal Classification (ASJC) codes

  • 計算力学
  • 天文学と天体物理学
  • 地球物理学
  • 材料力学
  • 地球化学および岩石学

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