## 抄録

A finite element code is developed for a thermal convection problem of infinite Prandtl number Boussinesq fluid subject to slip velocity boundary conditions. The problem is a fundamental mathematical model of the Earth's mantle movement. It is described by a couple of the Stokes equations and the convection-diffusion equation combined by buoyancy and convection terms. A stabilized finite element scheme with P1/P1/P1 element is employed. Some numerical computations in a three-dimensional spherical shell with Rayleigh number 10
^{4} are performed. Time histories of the Nusselt numbers and the root-mean-square velocities are computed, which are observed to be convergent as the mesh subdivisions become finer.

本文言語 | English |
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ホスト出版物のタイトル | Theoretical and Applied Mechanics |

ページ | 371-378 |

ページ数 | 8 |

巻 | 48 |

出版ステータス | Published - 1999 |

外部発表 | はい |

イベント | Proceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM) - Tokyo, Jpn 継続期間: 1999 1 25 → 1999 1 27 |

### Other

Other | Proceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM) |
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City | Tokyo, Jpn |

Period | 99/1/25 → 99/1/27 |

## ASJC Scopus subject areas

- Mechanics of Materials