Radiation fields in radiative transfer : spherical-wavelet representation

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http://hdl.handle.net/10138/313837

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Xu , G & Muinonen , K 2020 , ' Radiation fields in radiative transfer : spherical-wavelet representation ' , Journal of Quantitative Spectroscopy & Radiative Transfer , vol. 243 , 106821 . https://doi.org/10.1016/j.jqrt.2019.106821

Title: Radiation fields in radiative transfer : spherical-wavelet representation
Author: Xu, Guanglang; Muinonen, Karri
Contributor: University of Helsinki, Particle Physics and Astrophysics
University of Helsinki, Department of Physics
Date: 2020-03
Language: eng
Number of pages: 9
Belongs to series: Journal of Quantitative Spectroscopy & Radiative Transfer
ISSN: 0022-4073
URI: http://hdl.handle.net/10138/313837
Abstract: The spherical wavelet based on the lifting scheme is introduced for adaptive discrete-ordinate sampling of the radiation fields, particularly, in the radiative transfer computation using iterative schemes. The lifting scheme for wavelet transform is described from an implementation point of view, including the construction of hierarchical geodesic grids on the sphere and wavelet constructions. In addition, we compare the method with the conventional spherical harmonics, numerically investigating the transformation error and efficiency. The transformation matrices are built in the least-squares sense. The results demonstrate the feasibility of using spherical wavelets as an adaptive discrete-ordinate sampling method at the cost of O(N), where N is the number of significant coefficients. (C) 2019 The Authors. Published by Elsevier Ltd.
Subject: 114 Physical sciences
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