dorsal/arxiv
View SchemaApplication of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell
| Authors | Masaki Yoshida, Akira Kageyama |
|---|---|
| Categories | |
| ArXiv ID | physics/0405115 |
| URL | https://arxiv.org/abs/physics/0405115 |
| DOI | 10.1029/2004GL019970 |
Abstract
A new numerical finite difference code has been developed to solve a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell. A kind of the overset (Chimera) grid named ``Yin-Yang grid'' is used for the spatial discretization. The grid naturally avoids the pole problems which are inevitable in the latitude-longitude grids. The code is applied to numerical simulations of mantle convection with uniform and variable viscosity. The validity of the Yin-Yang grid for the mantle convection simulation is confirmed.
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"abstract": "A new numerical finite difference code has been developed to solve a thermal\nconvection of a Boussinesq fluid with infinite Prandtl number in a\nthree-dimensional spherical shell. A kind of the overset (Chimera) grid named\n``Yin-Yang grid\u0027\u0027 is used for the spatial discretization. The grid naturally\navoids the pole problems which are inevitable in the latitude-longitude grids.\nThe code is applied to numerical simulations of mantle convection with uniform\nand variable viscosity. The validity of the Yin-Yang grid for the mantle\nconvection simulation is confirmed.",
"arxiv_id": "physics/0405115",
"authors": [
"Masaki Yoshida",
"Akira Kageyama"
],
"categories": [
"physics.geo-ph",
"physics.comp-ph"
],
"doi": "10.1029/2004GL019970",
"title": "Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell",
"url": "https://arxiv.org/abs/physics/0405115"
},
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