A Grid Transformation Method for a Quasi-Uniform, Circular Fine Region Using the Spring Dynamics

• SHIBUYA Ryosuke

  Department of Earth and Planetary Science, The University of Tokyo, Tokyo, Japan

• MIURA Hiroaki

  Department of Earth and Planetary Science, The University of Tokyo, Tokyo, Japan

• SATO Kaoru

  Department of Earth and Planetary Science, The University of Tokyo, Tokyo, Japan

Abstract

 Regionally enhanced meshes that have quasi-uniformly fine circular region is proposed using a new transformation method with icosahedral grids to obtain a cost-effective simulation for waves, transports, and mixing processes, the behaviors of which depend strongly on the horizontal resolution. The target region, which is designed to be composed of a finer mesh, is connected to a coarser mesh region, which is generated with the Schmidt transformation to maintain an isotropy of grid shapes. To realize these requirements, the spring dynamics method can be used and the characteristic length of the spring connecting grid nodes should be determined through three parameters: (i) the number of grid points placed in the target region, (ii) the area of the target region, and (iii) a parameter of the Schmidt transformation. By introducing a set of mathematical formulae, the minimum grid interval in the target region can be uniquely determined as a function of the area of the target region only. It is confirmed that fine and quasi-homogeneous meshes in the target region are generated using the grid transformation proposed in this study. Numerical simulations under realistic atmospheric conditions are performed using a non-hydrostatic model with the grid system proposed in this study and in a previous study. As the new grid system has a more homogenous resolution in the target region compared with that of the previous study, the estimation of the momentum fluxes of gravity waves are less affected by their dependence of the grid resolution.

Journal

• Journal of the Meteorological Society of Japan. Ser. II

  Journal of the Meteorological Society of Japan. Ser. II 94 (5), 443-452, 2016

  Meteorological Society of Japan

Keywords

• icosahedral grid
• stretched grid
• spring dynamics
• numerical model

Details

• CRID: 1390282681481372800
• NII Article ID: 130005267925
• DOI: 10.2151/jmsj.2016-022
• ISSN: 21869057
• ISSN: 00261165
• Web Site: https://www.jstage.jst.go.jp/article/jmsj/94/5/94_2016-022/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed