Shallow water model on a modified icosahedral geodesic grid by using spring dynamics

By Hirofumi Tomita, M. Tsugawa, Masaki Satoh, Koji Goto. 2001

201 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7743b7ab23aaf78c208eb476f25989953347229b

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Citations in the corpus

Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations (2008, methodology): “[43] showed that these modifications guarantee the second-order accuracy for horizontal differential operators at all the grid points when their discretization method is used.”
The Non-hydrostatic Icosahedral Atmospheric Model: description and development (2014, methodology): “Tomita et al. (2001, 2002) constructed NICAM's icosahedral grids by improving the numerical accuracy of differential operators and using spring dynamics to improve the homogeneity of the grid system.”
The Evolution of Dynamical Cores for Global Atmospheric Models(125th Anniversary Issue of the Meteorological Society of Japan) (2007, methodology): “Tomita et al. (2001) developed a shallow water model on an icosahedral grid based on the finite volume method to obtain conservative transport.”
ICON‐A, the Atmosphere Component of the ICON Earth System Model: I. Model Description (2018, methodology): “The position of the vertices within the icosahedral triangles is optimized using the spring method of Tomita et al. (2001) with the spring coefficient β = 0.9 at each refinement step, which is helpful in making the triangular cells on average more uniform in shape.”
DYAMOND: the DYnamics of the Atmospheric general circulation Modeled On Non-hydrostatic Domains (2019, methodology): “These efforts bore fruit, in the form of new numerical methods (Tomita et al. 2001; Tomita and Satoh 2004) and the first ever aqua-planet simulations using a global non-hydrostatic model called NICAM (Tomita et al. 2005; Satoh et al. 2008; Satoh et al. 2014).”
Finite-volume transport on various cubed-sphere grids (2007, methodology): “[21]) to produce quasi-orthogonal mappings which preserve uniformity to a greater degree than the conformal mappings.”
A new dynamical framework of nonhydrostatic global model using the icosahedral grid (2004, methodology): “Basically, the numerical scheme is an extension of that of the regional model (Satoh, 2002, 2003) to the global model using the icosahedral grid as the horizontal grid con4guration (Tomita et al., 2001, 2002).”
A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids (2010, methodology): “Confusion can arise since both [13,36] refer to their Fig.”
Horizontal grids for global weather and climate prediction models: a review (2012, methodology): “For example, using a linearised version of the shallow-water model of Tomita et al. (2001) on a subdivided icosahedral grid, with all variables placed at triangle vertices (i.e. a pentagonal-hexagonal A-grid), Tomita et al. (2002) initialised it with an analytic, balanced, solid-body, rotational…”