Reproducing kernel particle method for radiative heat transfer in 1D participating media
type: Item
instance of: scholarly article
title: Reproducing kernel particle method for radiative heat transfer in 1D participating media
zbMATH Open document ID: 1394.80008
DOI: 10.1155/2015/181536
author: Lei Mu
author: Zhihong He
author: Shi-kui Dong
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The reproducing kernel particle method (RKPM), which is a Lagrangian meshless method, is employed for the calculation of radiative heat transfer in participating media. In the present method, for each discrete particle (i.e., spatial node) within a local support domain, the approximate formulas of the radiative intensity and its derivatives are constructed by the reproducing kernel interpolation function, and the residual function is obtained when these parameters are substituted into the radiative transfer equation. Then the least-squares point collocation technique (LSPCT) is introduced by minimizing the summation of residual function. Five test cases are considered and quantified to verify the meshless method, including isotropic scattering medium, first-order forward scattering medium, pure absorbing medium, absorbing scattering medium, and absorbing, scattering emitting medium. The results are in good agreement with the benchmark methods, showing the reproducing kernel particle method is an efficient, accurate, and stable method for the calculation of radiative transfer in participating media.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 80M25
zbMATH DE Number: 6925684
Wikidata QID: Q59117506
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/181536
OpenAlex ID: W2077672787
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description: scientific article; zbMATH DE number 6925684