This paper presents a discontinuous finite element method for the numerical solution of internal thermal radiation problems in three-dimensional (3D) geometries using an unstructured mesh of mixed elements. Mathematical formulation, numerical implementation, and computational details are given. The different domain discretization methods are presented, and a new angular space discretization is also given. Numerical examples are presented for 3D radiative transfer in emitting, absorbing, and scattering media. Computed results compare well with analytical solutions whenever available. The localized formulation intrinsic in discontinuous finite elements is considered particularly useful for computational radiation heat transfer in participating media.
Skip Nav Destination
e-mail: li@mme.wsu.edu
Article navigation
November 2005
This article was originally published in
Journal of Heat Transfer
Technical Papers
A Mixed-Mesh and New Angular Space Discretization Scheme of Discontinuous Finite Element Method for Three-Dimensional Radiative Transfer in Participating Media
X. Cui,
X. Cui
Graduate Research Assistant
School of Mechanical and Materials Engineering,
Washington State University
, Pullman, WA 99164
Search for other works by this author on:
B. Q. Li
B. Q. Li
Professor
Fellow ASME
School of Mechanical and Materials Engineering,
e-mail: li@mme.wsu.edu
Washington State University
, Pullman, WA 99164
Search for other works by this author on:
X. Cui
Graduate Research Assistant
School of Mechanical and Materials Engineering,
Washington State University
, Pullman, WA 99164
B. Q. Li
Professor
Fellow ASME
School of Mechanical and Materials Engineering,
Washington State University
, Pullman, WA 99164e-mail: li@mme.wsu.edu
J. Heat Transfer. Nov 2005, 127(11): 1236-1244 (9 pages)
Published Online: June 8, 2005
Article history
Received:
September 3, 2004
Revised:
June 8, 2005
Citation
Cui, X., and Li, B. Q. (June 8, 2005). "A Mixed-Mesh and New Angular Space Discretization Scheme of Discontinuous Finite Element Method for Three-Dimensional Radiative Transfer in Participating Media." ASME. J. Heat Transfer. November 2005; 127(11): 1236–1244. https://doi.org/10.1115/1.2039107
Download citation file:
Get Email Alerts
Cited By
On Prof. Roop Mahajan's 80th Birthday
J. Heat Mass Transfer
Thermal Hydraulic Performance and Characteristics of a Microchannel Heat Exchanger: Experimental and Numerical Investigations
J. Heat Mass Transfer (February 2025)
Related Articles
A Finite Element Treatment of the Angular Dependency of the Even-Parity Equation of Radiative Transfer
J. Heat Transfer (February,2010)
Discontinuous Finite Element Approach for Transient Radiative Transfer Equation
J. Heat Transfer (August,2007)
Immersed Boundary Method for Radiative Heat Transfer Problems in Nongray Media With Complex Internal and External Boundaries
J. Heat Transfer (February,2017)
Least-Squares Finite Element Analysis for Transient Radiative Transfer in Absorbing and Scattering Media
J. Heat Transfer (May,2006)
Related Proceedings Papers
Related Chapters
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics
Short-Pulse Collimated Radiation in a Participating Medium Bounded by Diffusely Reflecting Boundaries
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Radiation
Thermal Management of Microelectronic Equipment