The semi-Lagrangian advection scheme is implemented on a new quasi-uniform overset （Yin-Yang） grid on the sphere. The Yin-Yang grid is a newly developed grid system in spherical geometry with two perpendicularly-ori...The semi-Lagrangian advection scheme is implemented on a new quasi-uniform overset （Yin-Yang） grid on the sphere. The Yin-Yang grid is a newly developed grid system in spherical geometry with two perpendicularly-oriented latitude-longitude grid components （called Yin and Yang respectively） that overlapp each other, and this effectively avoids the coordinate singularity and the grid convergence near the poles. In this overset grid, the way of transferring data between the Yin and Yang components is the key to maintaining the accuracy and robustness in numerical solutions. A numerical interpolation for boundary data exchange, which maintains the accuracy of the original advection scheme and is computationally efficient, is given in this paper. A standard test of the solid-body advection proposed by Williamson is carried out on the Yin-Yang grid. Numerical results show that the quasi-uniform Yin-Yang grid can get around the problems near the poles, and the numerical accuracy in the original semi-Lagrangian scheme is effectively maintained in the Yin-Yang grid.展开更多
VFIVE is a scientific visualization application for CAVE-type immersive virtual reality(VR)systems.The source codes are freely available.VFIVE is used as a research tool in various VR systems.It also lays the groundwo...VFIVE is a scientific visualization application for CAVE-type immersive virtual reality(VR)systems.The source codes are freely available.VFIVE is used as a research tool in various VR systems.It also lays the groundwork for developments of new visualization software for CAVEs.In this paper,we pick up five CAVE systems in four different institutions in Japan.Applications of VFIVE in each CAVE system are summarized.Special emphases will be placed on scientific and technical achievements made possible by VFIVE.展开更多
基金This paper is sponsored by the National Natural Science Foundation of China （No. 40575050） the National Key Program for Developing Basic Reseach （＂973＂） （No. 2004CB418306）.
文摘The semi-Lagrangian advection scheme is implemented on a new quasi-uniform overset （Yin-Yang） grid on the sphere. The Yin-Yang grid is a newly developed grid system in spherical geometry with two perpendicularly-oriented latitude-longitude grid components （called Yin and Yang respectively） that overlapp each other, and this effectively avoids the coordinate singularity and the grid convergence near the poles. In this overset grid, the way of transferring data between the Yin and Yang components is the key to maintaining the accuracy and robustness in numerical solutions. A numerical interpolation for boundary data exchange, which maintains the accuracy of the original advection scheme and is computationally efficient, is given in this paper. A standard test of the solid-body advection proposed by Williamson is carried out on the Yin-Yang grid. Numerical results show that the quasi-uniform Yin-Yang grid can get around the problems near the poles, and the numerical accuracy in the original semi-Lagrangian scheme is effectively maintained in the Yin-Yang grid.
基金supported by JSPS KAKENHI Grant Numbers 19740346,23340128 and Takahashi Industrial and Economic Research Foundationsupport and under the auspices of the National Institute for Fusion Science(NIFS)Collaborative Research Program(NIFS09KDBN004).
文摘VFIVE is a scientific visualization application for CAVE-type immersive virtual reality(VR)systems.The source codes are freely available.VFIVE is used as a research tool in various VR systems.It also lays the groundwork for developments of new visualization software for CAVEs.In this paper,we pick up five CAVE systems in four different institutions in Japan.Applications of VFIVE in each CAVE system are summarized.Special emphases will be placed on scientific and technical achievements made possible by VFIVE.
