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A novel variable resolution global spectral method on the sphere

Janakiraman, S and Nanjundiah, Ravi S and Murthy, Vasudeva AS (2012) A novel variable resolution global spectral method on the sphere. In: Journal of Computational Physics, 231 (7). pp. 2794-2810.

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Official URL: http://dx.doi.org/10.1016/j.jcp.2011.12.023

Abstract

A variable resolution global spectral method is created on the sphere using High resolution Tropical Belt Transformation (HTBT). HTBT belongs to a class of map called reparametrisation maps. HTBT parametrisation of the sphere generates a clustering of points in the entire tropical belt; the density of the grid point distribution decreases smoothly in the domain outside the tropics. This variable resolution method creates finer resolution in the tropics and coarser resolution at the poles. The use of FFT procedure and Gaussian quadrature for the spectral computations retains the numerical efficiency available with the standard global spectral method. Accuracy of the method for meteorological computations are demonstrated by solving Helmholtz equation and non-divergent barotropic vorticity equation on the sphere. (C) 2011 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Variable resolution method;Global spectral method;Spherical harmonics;Helmholtz equations;Non-divergent barotropic vorticity equation;Boyd-Vandeven filter
Department/Centre: Division of Mechanical Sciences > Centre for Atmospheric & Oceanic Sciences
Date Deposited: 13 Apr 2012 10:43
Last Modified: 13 Apr 2012 10:43
URI: http://eprints.iisc.ernet.in/id/eprint/44247

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