Derivation and solution of multifrequency radiation diffusion equations for homogeneous refractive lossy media
type: Item
instance of: scholarly article
title: Derivation and solution of multifrequency radiation diffusion equations for homogeneous refractive lossy media
zbMATH Open document ID: 1216.80008
author: R. M. Vignes
author: J. S. Stölken
author: A. I. Shestakov
published in: Journal of Computational Physics
publication date: 2011-03-17T00:00:00Z
full work available at URL: metadc837959
review text: The paper deals with the derivation of a tractable system of equations to model radiation effects when heating or cooling a refractive absorbing medium. The temperature is raised locally by laser from 298 to 2500 K. The resulting governing equation represents coupling of the heat conduction and radiation. Discussed are also boundary conditions, a numerical scheme of a solution of multifrequency equations, definitions and getting material properties are discussed too. Finally, the authors present two numerical simulations for cooling of a silica slab and laser heating of a silica disk.
reviewed by: Vladimir Sladek
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 5867070
zbMATH Keywords: heat conduction
zbMATH Keywords: radiation
zbMATH Keywords: refraction
zbMATH Keywords: rapid heating
zbMATH Keywords: governing equations
zbMATH Keywords: boundary conditions
zbMATH Keywords: numerical scheme
zbMATH Keywords: material properties
MaRDI profile type: Publication
OpenAlex ID: W2049824034
cites work: Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies
cites work: Q5722964
cites work: Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
cites work: New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer
cites work: Solution of the diffusion equation by finite elements in Lagrangian hydrodynamic codes
DOI: 10.1016/J.JCP.2010.10.008
description: scientific article; zbMATH DE number 5867070