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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 2, Pages 291–308 (Mi zvmmf9786)  

This article is cited in 7 scientific papers (total in 7 papers)

Algorithm for reduced grid generation on a sphere for a global finite-difference atmospheric model

R. Yu. Fadeev

Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow

Abstract: A reduced latitude-longitude grid is a modified version of a uniform spherical grid in which the number of longitudinal grid points is not fixed but depends on latitude. A method for constructing a reduced grid for a global finite-difference semi-Lagrangian atmospheric model is discussed. The key idea behind the algorithm is to generate a one-dimensional latitude grid and then to find a reduced grid that not only has a prescribed resolution structure and an admissible cell shape distortion but also minimizes a certain functional. The functional is specified as the rms interpolation error of an analytically defined function. In this way, the interpolation error, which is a major one in finite-difference semi-Lagrangian models, is taken into account. The potential of the proposed approach is demonstrated as applied to the advection equation on a sphere, which is numerically solved with various velocity fields on constructed reduced grids.

Key words: reduced grid, advection equation, atmospheric model.

DOI: https://doi.org/10.7868/S0044466913020099

Full text: PDF file (691 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2013, 53:2, 237–252

Bibliographic databases:

UDC: 519.634
Received: 14.11.2011
Revised: 25.07.2012

Citation: R. Yu. Fadeev, “Algorithm for reduced grid generation on a sphere for a global finite-difference atmospheric model”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 291–308; Comput. Math. Math. Phys., 53:2 (2013), 237–252

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    This publication is cited in the following articles:
    1. P. H. Lauritzen, P. A. Ullrich, C. Jablonowski, P. A. Bosler, D. Calhoun, A. J. Conley, T. Enomoto, L. Dong, S. Dubey, O. Guba, A. B. Hansen, E. Kaas, J. Kent, J.-F. Lamarque, M. J. Prather, D. Reinert, V. V. Shashkin, W. C. Skamarock, B. Sorensen, M. A. Taylor, M. A. Tolstykh, “A standard test case suite for two-dimensional linear transport on the sphere: results from a collection of state-of-the-art schemes”, Geosci. Model Dev., 7:1 (2014), 105–145  crossref  adsnasa  isi  elib  scopus
    2. V. V. Shashkin, M. A. Tolstykh, “Inherently mass-conservative version of the semi-lagrangian absolute vorticity (sl-av) atmospheric model dynamical core”, Geosci. Model Dev., 7:1 (2014), 407–417  crossref  isi  elib  scopus
    3. A. Bourchtein, L. Bourchtein, “On grid generation for numerical models of geophysical fluid dynamics”, Computational Science and Its Applications - Iccsa 2014, Pt 1, Lecture Notes in Computer Science, 8579, eds. B. Murgante, S. Misra, A. Rocha, C. Torre, J. Rocha, M. Falcao, D. Taniar, B. Apduhan, O. Gervasi, Springer-Verlag Berlin, 2014, 17–29  crossref  mathscinet  isi  scopus
    4. A. G. Losev, A. V. Khoperskov, A. S. Astakhov, Kh. M. Suleimanova, “Problemy izmereniya i modelirovaniya teplovykh i radiatsionnykh polei v biotkanyakh: analiz dannykh mikrovolnovoi termometrii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 6(31), 31–71  mathnet  crossref
    5. V. Shashkin, R. Fadeev, M. Tolstykh, “3d conservative cascade semi-lagrangian transport scheme using reduced latitude-longitude grid (ccs-rg)”, J. Comput. Phys., 305 (2016), 700–721  crossref  mathscinet  zmath  isi  elib  scopus
    6. M. Tolstykh, V. Shashkin, R. Fadeev, G. Goyman, “Vorticity-divergence semi-Lagrangian global atmospheric model SL-AV20: dynamical core”, Geosci. Model Dev., 10:5 (2017), 1961–1983  crossref  isi  scopus
    7. Tolstykh M.A., Fadeev R.Yu., Shashkin V.V., Goyman G.S., Zaripov R.B., Kiktev D.B., Makhnorylova S.V., Mizyak V.G., Rogutov V.S., “Multiscale Global Atmosphere Model Sl-Av: the Results of Medium-Range Weather Forecasts”, Russ. Meteorol. Hydrol., 43:11 (2018), 773–779  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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