3D convection at infinite Prandtl number in Cartesian geometry — a benchmark comparison
- 19 August 1994
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 75 (1) , 39-59
- https://doi.org/10.1080/03091929408203646
Abstract
We describe the results of a benchmark study of numerical codes designed to treat problems of high Prandtl number convection in three-dimensional Cartesian geometry. In addition, quantitative results from laboratory convection experiments are compared with numerical data. The cases of bimodal convection at constant viscosity and of square cell convection for temperature-dependent viscosity have been selected.Keywords
This publication has 17 references indexed in Scilit:
- Variable viscosity convection experiments with a stress-free upper boundary and implications for the heat transport in the Earth's mantlePhysics of the Earth and Planetary Interiors, 1993
- Convection in three dimensions with surface plates: Generation of toroidal flowJournal of Geophysical Research, 1991
- 3-D Convection With Variable ViscosityGeophysical Journal International, 1991
- The thermal structure of mantle plumes: axisymmetric or triple-junction?Geophysical Journal International, 1990
- Boundary Conditions and Efficient Solution Algorithms For the Potential Function Formulation of the 3-D Viscous Flow EquationsGeophysical Journal International, 1990
- A benchmark comparison for mantle convection codesGeophysical Journal International, 1989
- Three‐dimensional infinite Prandtl number convection in one and two layers with implications for the Earth's gravity fieldJournal of Geophysical Research, 1988
- TDPOIS, a vector-processor routine for the solution of the three-dimensional poisson and biharmonic equations in a rectangular prismComputer Physics Communications, 1987
- Square-pattern convection in fluids with strongly temperature-dependent viscosityJournal of Fluid Mechanics, 1985
- Steady three-dimensional convection at high Prandtl numbersJournal of Fluid Mechanics, 1983