“Yin‐Yang grid”: An overset grid in spherical geometry

Akira Kageyama, Tetsuya Sato

doi:10.48550/arxiv.physics/0403123

“Yin‐Yang grid”: An overset grid in spherical geometry

DOI DOI Web Site Web Site 被引用文献40件オープンアクセス

Akira Kageyama

Earth Simulator Center, Japan Agency for Marine‐Earth Science and Technology Yokohama 236‐0001 Japan
Tetsuya Sato

Earth Simulator Center, Japan Agency for Marine‐Earth Science and Technology Yokohama 236‐0001 Japan

書誌事項

公開日: 2004-09

権利情報

http://onlinelibrary.wiley.com/termsAndConditions#vor

DOI

10.1029/2004gc000734
10.48550/arxiv.physics/0403123

公開者: American Geophysical Union (AGU)

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説明

<jats:p>A new kind of overset grid, named Yin‐Yang grid, for spherical geometry is proposed. The Yin‐Yang grid is composed of two identical component grids that are combined in a complemental way to cover a spherical surface with partial overlap on their boundaries. Each component grid is a low‐latitude part of the latitude‐longitude grid. Therefore the grid spacing is quasi‐uniform, and the metric tensors are simple and analytically known. One can directly apply mathematical and numerical resources that have been written in the spherical polar coordinates or latitude‐longitude grid. The complemental combination of the two identical component grids enables us to make efficient and concise programs. Simulation codes for geodynamo and mantle convection simulations using finite difference scheme based on the Yin‐Yang grid are developed and tested. The Yin‐Yang grid is suitable for massively parallel computers.</jats:p>