The Experts below are selected from a list of 276 Experts worldwide ranked by ideXlab platform
Tetsuya Sato - One of the best experts on this subject based on the ideXlab platform.
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The "Yin-Yang Grid": An Overset Grid in Spherical Geometry
arXiv: Geophysics, 2004Co-Authors: Akira Kageyama, Tetsuya SatoAbstract: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.
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"Yin-Yang grid": An overset grid in Spherical Geometry
Geochemistry Geophysics Geosystems, 2004Co-Authors: Akira Kageyama, Tetsuya SatoAbstract: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.
Akira Kageyama - One of the best experts on this subject based on the ideXlab platform.
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The "Yin-Yang Grid": An Overset Grid in Spherical Geometry
arXiv: Geophysics, 2004Co-Authors: Akira Kageyama, Tetsuya SatoAbstract: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.
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"Yin-Yang grid": An overset grid in Spherical Geometry
Geochemistry Geophysics Geosystems, 2004Co-Authors: Akira Kageyama, Tetsuya SatoAbstract: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.
Andreas Tilgner - One of the best experts on this subject based on the ideXlab platform.
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Stratified precessional flow in Spherical Geometry
Journal of Fluid Mechanics, 2013Co-Authors: Xing Wei, Andreas TilgnerAbstract:We investigate numerically, in Spherical Geometry, the interaction of stratification with precession. Both stable stratification and unstable stratification are studied. In the parameter regime we are concerned with, stable stratification suppresses the precessional instability, whereas unstable stratification and precession can either stabilize or destabilize each other at different precession rates.
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stratified precessional flow in Spherical Geometry
arXiv: Fluid Dynamics, 2013Co-Authors: Xing Wei, Andreas TilgnerAbstract:We investigate numerically in Spherical Geometry the interaction of stratification with precession. Both stable stratification and unstable stratification are studied. In the parameter regime we are concerned with, stable stratification suppresses the precessional instability, whereas unstable stratification and precession can either stablise or destablise each other at the different precession rates.
Xing Wei - One of the best experts on this subject based on the ideXlab platform.
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Stratified precessional flow in Spherical Geometry
Journal of Fluid Mechanics, 2013Co-Authors: Xing Wei, Andreas TilgnerAbstract:We investigate numerically, in Spherical Geometry, the interaction of stratification with precession. Both stable stratification and unstable stratification are studied. In the parameter regime we are concerned with, stable stratification suppresses the precessional instability, whereas unstable stratification and precession can either stabilize or destabilize each other at different precession rates.
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stratified precessional flow in Spherical Geometry
arXiv: Fluid Dynamics, 2013Co-Authors: Xing Wei, Andreas TilgnerAbstract:We investigate numerically in Spherical Geometry the interaction of stratification with precession. Both stable stratification and unstable stratification are studied. In the parameter regime we are concerned with, stable stratification suppresses the precessional instability, whereas unstable stratification and precession can either stablise or destablise each other at the different precession rates.
Bruno Peres - One of the best experts on this subject based on the ideXlab platform.
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Solving the transport equation by the use of 6D spectral methods in Spherical Geometry
arXiv: Computational Physics, 2011Co-Authors: Silvano Bonazzola, Nicolas Vasset, Bruno PeresAbstract:We present a numerical method for handling the resolution of a general transport equation for radiative particles, aimed at physical problems with a general Spherical Geometry. Having in mind the computational time difficulties encountered in problems such as neutrino transport in astrophysical supernovae, we present a scheme based on full spectral methods in 6d Spherical coordinates. This approach, known to be suited when the characteristic length of the dynamics is much smaller than the domain size, has the potential advantage of a global speedup with respect to usual finite difference schemes. An analysis of the properties of the Liouville operator expressed in our coordinates is necessary in order to handle correctly the numerical behaviour of the solution. This reflects on a specific (Spherical) Geometry of the computational domain. The numerical tests, performed under several different regimes for the equation, prove the robustness of the scheme: their performances also point out to the suitability of such an approach to large scale computations involving transport physics for mass less radiative particles.
