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

By Akira Kageyama, Tetsuya Sato. 2004

317 citations recorded by the source corpus.

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.

Subfields: Geophysics, Molecular Biology, Oceanography

View Paper: https://www.semanticscholar.org/paper/5a52522b057492f96b36c19d2791588504fd2c81

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In Geophysics

1. H. J. M. Astrophysics
2. E. Mueller
3. John Thuburn
4. Alexander Heger
5. David L. Williamson
6. Paul J. Tackley
7. Bernhard Müller
8. T. Wiegelmann

In Molecular Biology

1. T. Sakurai
2. T. Wiegelmann
3. H. J. M. Astrophysics
4. E. Mueller
5. John Thuburn
6. Alexander Heger
7. David L. Williamson
8. Paul J. Tackley

In Oceanography

1. T. Wiegelmann
2. T. Sakurai
3. David L. Williamson
4. H. J. M. Astrophysics
5. E. Mueller
6. John Thuburn
7. N. Langer
8. Alexander Heger

Citations in the corpus

• Three-dimensional simulations of neutrino-driven core-collapse supernovae from low-mass single and binary star progenitors (2018, background): “Overset orthogonal grids (Kageyama & Sato 2004; Wongwathanarat et al. 2010a) and non-orthogonal grids (Wongwathanarat et al. 2016) are excellent solutions, but add some complexity to the grid geometry.”
• Modelling compressible mantle convection with large viscosity contrasts in a three-dimensional spherical shell using the yin-yang grid (2008, methodology): “Similar plots were made by Albers (2000) and ameyama et al. (2005) to show the effect of various smoothers nd multigrid cycles.”
• The Evolution of Dynamical Cores for Global Atmospheric Models(125th Anniversary Issue of the Meteorological Society of Japan) (2007, background): “Kageyama and Sato (2004) suggested a quasi-uniform composite mesh for spherical geometry without singular points which they named the ‘‘Yin-Yang’’ grid.”
• Three-dimensional simulations of core-collapse supernovae: from shock revival to shock breakout (2014, methodology): “We further utilized the “Yin-Yang” overlapping grid technique (Kageyama & Sato 2004; Wongwathanarat et al. 2010a) instead of a spherical polar (latitude-longitude) grid to cover the computational domain, because it alleviates the CFL condition resulting from the coordinate singularity of the polar…”
• Horizontal grids for global weather and climate prediction models: a review (2012, methodology): “The non-orthogonality of the Lanser et al. (2000) grid (section 3.”
• Solar Force-free Magnetic Fields (2012, methodology): “It can be avoided by using either an unstructured finiteelement grid or the so called Yin & Yang grid as developed in Kageyama and Sato (2004) for geophysical applications.”
• Fibonacci grids: A novel approach to global modelling (2006, background): “Overset grids, such as the ‘Yin-Yang’ grid (Kageyama and Sato 2004; Takahashi et al. 2005), have also been proposed for global modelling.”