Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method

Atsushi Suzuki, Masahisa Tabata, Satoru Honda

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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 languageEnglish
Title of host publicationTheoretical and Applied Mechanics
Pages371-378
Number of pages8
Volume48
Publication statusPublished - 1999
Externally publishedYes
EventProceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM) - Tokyo, Jpn
Duration: 1999 Jan 251999 Jan 27

Other

OtherProceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM)
CityTokyo, Jpn
Period99/1/2599/1/27

Fingerprint

Earth (planet)
Finite element method
Prandtl number
Nusselt number
Buoyancy
Boundary conditions
Mathematical models
Fluids
Convection
Hot Temperature

ASJC Scopus subject areas

  • Mechanics of Materials

Cite this

Suzuki, A., Tabata, M., & Honda, S. (1999). Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method. In Theoretical and Applied Mechanics (Vol. 48, pp. 371-378)

Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method. / Suzuki, Atsushi; Tabata, Masahisa; Honda, Satoru.

Theoretical and Applied Mechanics. Vol. 48 1999. p. 371-378.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Suzuki, A, Tabata, M & Honda, S 1999, Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method. in Theoretical and Applied Mechanics. vol. 48, pp. 371-378, Proceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM), Tokyo, Jpn, 99/1/25.
Suzuki A, Tabata M, Honda S. Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method. In Theoretical and Applied Mechanics. Vol. 48. 1999. p. 371-378
Suzuki, Atsushi ; Tabata, Masahisa ; Honda, Satoru. / Numerical solution of an unsteady Earth's mantle convection problem by a stabilized finite element method. Theoretical and Applied Mechanics. Vol. 48 1999. pp. 371-378
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