A least-squares radial point interpolation collocation meshless method based on the discrete ordinates equation is developed for solving the radiative transfer in absorbing, emitting, and scattering media, in which compact support radial basis functions augmented with polynomial basis are employed to construct the trial functions. In addition to the collocation nodes, a number of auxiliary points are also adopted to form the total residuals of the problem. The least-squares technique is used to obtain the solution of the problem by minimizing the summation of residuals of all collocation and auxiliary points. Three typical examples of radiative transfer in semitransparent media are examined to verify this new solution method. The numerical results are compared with other benchmark approximate solutions in references. By comparison, the results show that the least-squares radial point interpolation collocation meshless method has good accuracy in solving radiative transfer problems within absorbing, emitting, and scattering media.
Skip Nav Destination
e-mail: lhliu@hit.edu.cn
Article navigation
Technical Briefs
Least-Squares Radial Point Interpolation Collocation Meshless Method for Radiative Heat Transfer
J. Y. Tan,
J. Y. Tan
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, People’s Republic of China
Search for other works by this author on:
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, People’s Republic of China
Search for other works by this author on:
B. X. Li
B. X. Li
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, People’s Republic of China
Search for other works by this author on:
J. Y. Tan
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, People’s Republic of China
L. H. Liu
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, People’s Republic of Chinae-mail: lhliu@hit.edu.cn
B. X. Li
School of Energy Science and Engineering,
Harbin Institute of Technology
, 92 West Dazhi Street, Harbin 150001, People’s Republic of ChinaJ. Heat Transfer. May 2007, 129(5): 669-673 (5 pages)
Published Online: June 30, 2006
Article history
Received:
March 3, 2006
Revised:
June 30, 2006
Citation
Tan, J. Y., Liu, L. H., and Li, B. X. (June 30, 2006). "Least-Squares Radial Point Interpolation Collocation Meshless Method for Radiative Heat Transfer." ASME. J. Heat Transfer. May 2007; 129(5): 669–673. https://doi.org/10.1115/1.2712861
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
Schemes and Applications of First and Second-Order Discrete Ordinates Interpolation Methods to Irregular Two-Dimensional Geometries
J. Heat Transfer (November,1997)
Radiative Heat Transfer Using Isotropic Scaling Approximation: Application to Fibrous Medium
J. Heat Transfer (October,2005)
Analytical Solution Under Two-Flux Approximation to Radiative Heat Transfer in Absorbing Emitting and Anisotropically Scattering Medium
J. Heat Transfer (December,2010)
A Vector Form Exchange-Area-Based Method for Computation of Anisotropic Radiative Transfer
J. Heat Transfer (January,2009)
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
Scattering of Out-Plane Line Source Load by a Shallow-Embedded Circular Lining Structure and the Ground Motion
Geological Engineering: Proceedings of the 1 st International Conference (ICGE 2007)
Study on Load Position Switching of Radial Scattering Dispenser
International Conference on Mechanical Engineering and Technology (ICMET-London 2011)