Green Function Formulation and Finite Element Discretization for Solving the Heat Radiative Transfer in a Slab

被引：1

作者：

de Almeida Konzen, Pedro Henrique ^{[1
]}

Sauter, Esequia ^{[2
]}

Azevedo, Fabio Souto ^{[2
]}

机构：

[1] Univ Fed Rio Grande do Sul, Inst Matemat & Estat, Porto Alegre, RS, Brazil

[2] Univ Fed Rio Grande do Sul, Inst Matemat & Estat, Programa Posgrad Matemat Aplicada, Porto Alegre, RS, Brazil

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT | 2016年 / 45卷 / 05期

关键词：

Finite element method; Green Function Decomposition Method; radiative heat transfer; EXISTENCE THEORY; BOUNDARY-LAYERS; EQUATIONS;

D O I：

10.1080/23324309.2016.1179647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The radiative transport problem involving the nonlinear coupling between temperature and radiative transfer poses several difficulties to be solved numerically. In this paper, we sought numerical solutions for the transient one-dimensional model by applying the Green Function Decomposition Method to the radiative transport equation and a finite element scheme to the energy balance equation. We apply this new numerical implementation to calculate the evolution of temperature in a slab of glass. The proposed scheme has been found computationally efficient and we have achieved better accuracy than the previous results from the literature.

引用

页码：368 / 385

页数：18

共 50 条

[21] An approximation function model for solving effective radiative heat transfer in packed bed
Wu, Hao
Gui, Nan
Yang, Xingtuan
Tu, Jiyuan
Jiang, Shengyao
ANNALS OF NUCLEAR ENERGY, 2020, 135 (135)
[22] Discontinuous spectral element method for solving radiative heat transfer in multidimensional semitransparent media
Zhao, J. M.
Liu, L. H.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2007, 107 (01): : 1 - 16
[23] Improved angular discretization and error analysis of the lattice Boltzmann method for solving radiative heat transfer in a participating medium
Di Rienzo, Antonio Fabio
Asinari, Pietro
Borchiellini, Romano
Mishra, Sunhash C.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2011, 21 (05) : 640 - 662
[24] Heat transfer model and finite element formulation for simulation of selective laser melting
Souvik Roy
Mario Juha
Mark S. Shephard
Antoinette M. Maniatty
Computational Mechanics, 2018, 62 : 273 - 284
[25] Heat transfer model and finite element formulation for simulation of selective laser melting
Roy, Souvik
Juha, Mario
Shephard, Mark S.
Maniatty, Antoinette M.
COMPUTATIONAL MECHANICS, 2018, 62 (03) : 273 - 284
[26] COMPARISON OF METHODS FOR SOLVING NONLINEAR FINITE-ELEMENT EQUATIONS IN HEAT TRANSFER
Johnson, N. L.
Graham, A. L.
Cort, G. E.
CHEMICAL ENGINEERING COMMUNICATIONS, 1984, 26 (4-6) : 269 - 284
[27] A discontinuous finite-element formulation for multidimensional radiative transfer in absorbing, emitting, and scattering media
Cui, X
Li, BQ
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2004, 46 (05) : 399 - 428
[28] A GLOBAL SPECTRAL MODEL WITH A FINITE-ELEMENT FORMULATION FOR THE VERTICAL DISCRETIZATION - ADIABATIC FORMULATION
BELAND, M
BEAUDOIN, C
MONTHLY WEATHER REVIEW, 1985, 113 (11) : 1910 - 1919
[29] Finite element diffusion-synthetic acceleration for radiative heat transfer in participating medium
School of Vehicle and Energy Engineering, Yanshan University, Qinhuangdao 066004, China
Huagong Xuebao, 2009, 5 (1087-1091):
[30] Discontinuous finite element method for radiative heat transfer in semitransparent graded index medium
Liu, L. H.
Liu, L. J.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2007, 105 (03): : 377 - 387

← 1 2 3 4 5 →