Finite element approximation to infinite Prandtl number Boussinesq equations with temperature-dependent coefficients - Thermal convection problems in a spherical shell
Finite element approximation to infinite Prandtl number Boussinesq equations with temperature-dependent coefficients - Thermal convection problems in a spherical shell
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DOI：
10.1016/j.future.2005.04.008
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发表时间：
2006-03
期刊：
影响因子：
--
通讯作者：
M. Tabata
中科院分区：
文献类型：
--
作者：
M. Tabata
分析了具有温度相关系数的无限 Prandtl 数 Boussinesq 方程的稳定有限元格式。该域是一个球壳，P1 元素用于每个未知函数。证明有限元解在时间增量和网格尺寸的一阶上收敛于精确解。该方案应用于粘度强烈依赖于温度的地幔对流问题，并显示了一些数值结果。
A stabilized finite element scheme for infinite Prandtl number Boussinesq equations with temperature-dependent coefficients is analyzed. The domain is a spherical shell and the P1-element is employed for every unknown function. The finite element solution is proved to converge to the exact one in the first order of the time increment and the mesh size. The scheme is applied to Earth’s mantle convection problems with viscosities strongly dependent on the temperature and some numerical results are shown.