Advertisement

Chinese Science Bulletin

, Volume 57, Issue 16, pp 2046–2050 | Cite as

Spatial discretization error in an artificial benchmark model of oblique laser incidence by finite volume approximation for radiative heat transfer

  • HaoChun Zhang
  • Yao LiEmail author
Open Access
Article Engineering Thermophysics
  • 399 Downloads

Abstact

The spatial discretization error in a finite volume method approximation for radiative heat transfer is investigated. An artificial benchmark model for oblique laser incidence on a two-dimensional rectangle containing a semi-transparent medium is proposed, in addition to using reference data from the Monte Carlo method. Within the framework of the current model, it is shown that numerical scattering in the finite volume method is affected by the spatial grid values and the different spatial discretization schemes to a large degree. Numerical scattering also varies with the degree of absorption coefficient deviation. Numerical scattering is distributed in a symmetrical profile along the laser incidence direction, and all of the schemes show symmetrical cross-scattering.

Keywords

finite volume method spatial discretization error radiative heat transfer oblique laser incidence 

References

  1. 1.
    Howell J R, Siegel R, Menguc M P. Thermal Radiation Heat Transfer. 5th ed. New York: CRC Press, 2010Google Scholar
  2. 2.
    Cui Y, Huang Y, Li W, et al. TM polarization characteristics on thermal radiation of a negative refractive index thin film. Chin Sci Bull, 2009, 54: 1663–1668CrossRefGoogle Scholar
  3. 3.
    Zheng Z H, Xuan Y M. Near-field radiative heat transfer between general materials and metamaterials. Chin Sci Bull, 2011, 56: 2312–2319CrossRefGoogle Scholar
  4. 4.
    Tan H P, Liu L H, Yi H L, et al. Recent progress in computational thermal radiative transfer. Chin Sci Bull, 2009, 54: 2627–2637CrossRefGoogle Scholar
  5. 5.
    Daniel R R, Fatmir A. A consistent interpolation function for the solution of radiative transfer on triangular meshes. I-Comprehensive formulation. Numer Heat Transfer Part A, 2011, 59: 97–115CrossRefGoogle Scholar
  6. 6.
    Das R, Mishra S C, Ajith M, et al. An inverse analysis of a transient 2-D conduction-radiation problem using the Lattice Boltzmann method and the finite volume method coupled with the genetic algorithm. J Quant Spectrosc Radiat Transfer, 2008, 109: 2060–2077CrossRefGoogle Scholar
  7. 7.
    Chai J C, Lee H S, Patankar S V. Ray effect and false scattering in the discrete ordinates method. Numer Heat Transfer Part B, 1993, 24: 373–389CrossRefGoogle Scholar
  8. 8.
    Raithby G D, Chui E H. A finite-volume method for predicting a radiant heat transfer in enclosures with participating media. J Heat Transfer, 1990, 112: 415–423CrossRefGoogle Scholar
  9. 9.
    Zhang H C, Tan H P. Evaluation of numerical scattering in finite volume method for solving radiative transfer equation by a central laser incidence model. J Quant Spectrosc Radiat Transfer, 2009, 110: 1965–1977CrossRefGoogle Scholar
  10. 10.
    Coelho P J. A comparison of spatial discretization schemes for differential solution methods of the radiative transfer equation. J Quant Spectrosc Radiat Transfer, 2008, 109: 189–200CrossRefGoogle Scholar
  11. 11.
    Kallinderis Y, Kontzialis C. A priori mesh quality estimation via direct relation between truncation error and mesh distortion. J Comput Phys, 2009, 228: 881–902CrossRefGoogle Scholar
  12. 12.
    Kamel G, Naceur B M, Rachid M, et al. Formulation and testing of the ftn finite volume method for radiation in 3-d complex inhomogeneous participating media. J Quant Spectrosc Radiat Transfer, 2006, 98: 425–445CrossRefGoogle Scholar
  13. 13.
    Tan H P, Zhang H C, Zhen B. Estimation of ray effect and false scattering in approximate solution method for thermal radiative transfer equation. Numer Heat Transfer Part A, 2004, 46: 807–829CrossRefGoogle Scholar

Copyright information

© The Author(s) 2012

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.School of Energy Science and EngineeringHarbin Institute of TechnologyHarbinChina
  2. 2.Institute of Composite MaterialsHarbin Institute of TechnologyHarbinChina

Personalised recommendations