Abstract
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.
| Original language | English |
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| Title of host publication | Theoretical and Applied Mechanics |
| Pages | 371-378 |
| Number of pages | 8 |
| Volume | 48 |
| Publication status | Published - 1999 |
| Externally published | Yes |
| Event | Proceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM) - Tokyo, Jpn Duration: 1999 Jan 25 → 1999 Jan 27 |
Other
| Other | Proceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM) |
|---|---|
| City | Tokyo, Jpn |
| Period | 99/1/25 → 99/1/27 |
ASJC Scopus subject areas
- Mechanics of Materials