scholarly journals An asymptotic-preserving stochastic Galerkin method for the radiative heat transfer equations with random inputs and diffusive scalings

2017 ◽  
Vol 334 ◽  
pp. 182-206 ◽  
Author(s):  
Shi Jin ◽  
Hanqing Lu
Keyword(s):  
Heat Transfer ◽  
Galerkin Method ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Asymptotic Preserving ◽  
Random Inputs ◽  
Stochastic Galerkin Method ◽  
Transfer Equations ◽  
Stochastic Galerkin

NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS

2001 ◽  
Vol 11 (05) ◽  
pp. 749-767 ◽  
Author(s):  
A. KLAR ◽  
C. SCHMEISER
Keyword(s):  
Heat Transfer ◽  
Radiative Heat Transfer ◽  
Nonlinear Diffusion ◽  
Radiative Heat ◽  
Mean Free Path ◽  
Rigorous Results ◽  
Asymptotic Preserving ◽  
Milne Problem ◽  
Transfer Equations ◽  
Radiative Transfer Equations

Radiative heat transfer equations including heat conduction are considered in the small mean free path limit. Rigorous results on the asymptotic procedure leading to the equilibrium diffusion equation for the temperature are given. Moreover, the nonlinear Milne problem describing the boundary layer is investigated and an existence result is proven. An asymptotic preserving scheme for the radiative transfer equations with the diffusion scaling is developed. The scheme is based on the asymptotic analysis. It works uniformly for all ranges of mean free paths. Numerical results for different physical situations are presented.

Transient radiative heat transfer through thin films using Laguerre–Galerkin method

2003 ◽  
Vol 36 (23) ◽  
pp. 3014-3026 ◽  
Author(s):  
T Hassan ◽  
K Razi Naqvi ◽  
S A El-Wakil ◽  
E M Abulwafa
Keyword(s):  
Heat Transfer ◽  
Thin Films ◽  
Galerkin Method ◽  
Radiative Heat Transfer ◽  
Radiative Heat
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