A discontinuous finite element method based on the discrete ordinates equation is extended to solve transient radiative transfer problems in absorbing, emitting, and scattering media. The fully implicit scheme is used to discretize the transient term. Three numerical examples are studied to illustrate the performance of this discontinuous finite element method. The numerical results are compared to the other benchmark approximate solutions. By comparison, the results show that the discontinuous finite element method is efficient, accurate, and stable, and can be used for solving transient radiative transfer problems in participating media. Because the continuity at interelement boundaries is relaxed in discontinuous finite element discretization so that field variable is considered discontinuous across the element boundaries. This feature makes the discontinuous finite element method able to predict the correct propagation speed within medium and accurately capture the sharp drop in the incident radiation and the radiative heat flux at the penetration front.
Skip Nav Destination
e-mail: lhliu@hit.edu.cn
Article navigation
Technical Papers
Discontinuous Finite Element Approach for Transient Radiative Transfer Equation
L. H. Liu,
L. H. Liu
School of Energy Science and Engineering,
e-mail: lhliu@hit.edu.cn
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, P.R. China
Search for other works by this author on:
L. J. Liu
L. J. Liu
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, P.R. China
Search for other works by this author on:
L. H. Liu
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, P.R. Chinae-mail: lhliu@hit.edu.cn
L. J. Liu
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, P.R. ChinaJ. Heat Transfer. Aug 2007, 129(8): 1069-1074 (6 pages)
Published Online: January 17, 2007
Article history
Received:
September 3, 2006
Revised:
January 17, 2007
Citation
Liu, L. H., and Liu, L. J. (January 17, 2007). "Discontinuous Finite Element Approach for Transient Radiative Transfer Equation." ASME. J. Heat Transfer. August 2007; 129(8): 1069–1074. https://doi.org/10.1115/1.2737477
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)
A Mixed-Mesh and New Angular Space Discretization Scheme of Discontinuous Finite Element Method for Three-Dimensional Radiative Transfer in Participating Media
J. Heat Transfer (November,2005)
Least-Squares Finite Element Analysis for Transient Radiative Transfer in Absorbing and Scattering Media
J. Heat Transfer (May,2006)
Related Proceedings Papers
Related Chapters
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
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics
Radiation
Thermal Management of Microelectronic Equipment