ESTIMATION OF RAY EFFECT AND FALSE SCATTERING IN APPROXIMATE SOLUTION METHOD FOR THERMAL RADIATIVE TRANSFER EQUATION

References

• Lockwood , F. C. and Shah , N. G. 1981 . “ A New Radiation Solution Method for Incorporation in General Combustion Prediction Procedures ” . In Proc. 18th Int. Symp. on Combustion , 1405 – 1414 . Pittsburgh, PA : The Combustion Institute .
   Google Scholar
• Truelove , J. S. 1988 . Three-Dimensional Radiation in Absorbing-Emitting-Scattering Media Using the Discrete-Ordinates Approximation . J. Quant. Spectrosc. and Radiat. Transfer , 39 : 27 – 31 .
   Web of Science ®Google Scholar
• Fiveland , W. A. 1991 . “ The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering ” . In Fundamentals of Radiation Heat Transfer 89 – 96 . ASME HTD-160
   Google Scholar
• Chai , J. C. , Lee , H. S. and Patankar , S. V. 1994 . Improved Treatment of Scattering Using the Discrete-Ordinates Method . ASME Trans. J. Heat Transfer , 116 : 260 – 263 .
   Web of Science ®Google Scholar
• Chui , E. H. and Raithby , G. D. 1992 . Implicit Solution Scheme to Improve Convergence Rate in Radiative Transfer Problems . Numer. Heat Transfer B , 22 : 251 – 272 .
   Web of Science ®Google Scholar
• Murthy , J. Y. and Mathur , S. R. 1998 . Finite Volume Method for Radiative Heat Transfer Using Unstructured Meshes . AIAA J. Thermophys. and Heat Transfer , 12 : 313 – 321 .
   Web of Science ®Google Scholar
• Do , Y. B. , Seung , W. B. and Man , Y. K. 2003 . Investigation of Radiative Heat Transfer in Complex Geometries Using Blocked-off, Multiblock, and Embedded Boundary Treatments . Numer. Heat Transfer A , 43 : 807 – 825 .
   Web of Science ®Google Scholar
• Parthasarathy , G. , Lee , H. S. , Chai , J. C. and Patankar , S. V. 1995 . Monte Carlo Solutions for Radiative Heat Transfer in Irregular Two Dimensional Geometries . ASME Trans., J. Heat Transfer , 117 : 792 – 794 .
   Web of Science ®Google Scholar
• Yang , W. J. , Taniguchi , H. and Kudo , K. 1995 . “ Radiative Heat Transfer by the Monte Carlo Method ” . In Advances in Heat Transfer , Edited by: Hartnett , J. P. and Irvine , T. F. 3 – 211 . San Diego, CA : Academic Press . In
   Google Scholar
• Howell , J. R. 1998 . The Monte Carlo Methods for Radiative Transfer . ASME Trans., J. Heat Transfer , 120 : 547 – 560 .
   Web of Science ®Google Scholar
• Ruan , L. M. , Tan , H. P. , Yan , Y. Y. and Monte , A . 2002 . Carlo Method Applied to the Medium with Nongray Absorbing-Emitting-Anisotropic Scattering Particles and Gray Approximation . Numer. Heat Transfer A , 42 : 253 – 268 .
   Web of Science ®Google Scholar
• Ruan , L. M. and Tan , H. P. 2002 . Solutions of Radiative Heat Transfer in Three-Dimensional Inhomogeneous Scattering Media . ASME Trans., J. Heat Transfer , 124 : 985 – 988 .
   Web of Science ®Google Scholar
• Lathrop , K. D. 1968 . Ray Effects in Discrete Ordinate Equations . Nuclear Sci. Eng. , 32 : 357 – 369 .
   Web of Science ®Google Scholar
• Chai , J. C. , Lee , H. S. and Patankar , S. V. 1993 . Ray Effects and False Scattering in the Discrete Ordinates Methods . Numer. Heat Transfer B , 24 : 373 – 389 .
   Web of Science ®Google Scholar
• Cheong , K. B. and Song , T. H. 1995 . Examination of Solution Methods for the Second-Order Discrete Ordinate Formulation . Numer. Heat Transfer B , 27 : 155 – 173 .
   Web of Science ®Google Scholar
• Cheong , K. B. and Song , T. H. 1997 . An Alternative with Interpolation Discrete Ordinates Method and Source Differencing for Two-Dimensional Radiative Transfer Problems . Numer. Heat Transfer B , 32 : 107 – 125 .
   Web of Science ®Google Scholar
• Sakami , M. and Charette , A. 2000 . Application of a Modified Discrete Ordinates Method to Two-Dimensional Enclosure of Irregular Geometry . J. Quant. Spectrosc. Radiat. Transfer , 64 : 275 – 298 .
   Web of Science ®Google Scholar
• Coelho , P. J. 2002 . The Role of Ray Effects and False Scattering on the Accuracy of the Standard and Modified Discrete Ordinates Methods . J. Quant. Spectrosc. Radiat. Transfer , 73 : 231 – 238 .
   Web of Science ®Google Scholar
• Kim , I. K. , Kim , W. S. and Hybrid , A . 2001 . Spatial Differencing Scheme for Discrete Ordinates Method in 2D Rectangular Enclosure . Int. J. Heat Mass Transfer , 44 : 575 – 586 .
   Web of Science ®Google Scholar
• Liu , L. H. , Ruan , L. M. and Tan , H. P. 2002 . On the Discrete Ordinates Method for Radiative Heat Transfer in Anisotropically Scattering Media . Int. J. Heat Mass Transfer , 45 : 3259 – 3262 .
   Web of Science ®Google Scholar
• Li , B. W. , Liu , R. X. and Tao , W. Q. 1997 . Ray Effects in Ray Tracing Method for Radiative Heat Transfer . Int. J. Heat Mass Transfer , 40 : 3419 – 3426 .
   Web of Science ®Google Scholar
• Cumber , P. S. 2000 . Ray Effect Mitigation in Jet Fire Radiation Modeling . Int. J. Heat Mass Transfer , 43 : 935 – 943 .
   Web of Science ®Google Scholar
• Kim , S. H. , Huh , K. Y. and New , A . 2000 . Angular Discretization Scheme of the Finite Volume Method for 3-D Radiative Heat Transfer in Absorbing, Emitting and Anisotropically Scattering Media . Int. J. Heat Mass Transfer , 43 : 1233 – 1242 .
   Web of Science ®Google Scholar
• Raithby , G. D. 1999 . Evaluation of Discretization Errors in Finite-Volume Radiant Heat Transfer Predictions . Numer. Heat Transfer B , 36 : 241 – 264 .
   Web of Science ®Google Scholar
• Guo , Z. X. and Maruyama , S. 2000 . Radiative Heat Transfer in Inhomogeneous, Nongray and Anisotropically Scattering Media . Int. J. Heat Mass Transfer , 43 : 2325 – 2336 .
   Web of Science ®Google Scholar
• Baek , S. W. , Byun , D. Y. and Kang , S. J. 2000 . The Combined Monte-Carlo and Finite-Volume Method for Radiation in a Two-Dimensional Irregular Geometry . Int. J. Heat Mass Transfer , 43 : 2337 – 2344 .
   Web of Science ®Google Scholar
• Guven , O. and Bayazitoglu , Y. 2003 . The Radiative Transfer Solution of a Rectangular Enclosure Using Angular Domain Discrete Wavelets . Int. J. Heat Mass Transfer , 46 : 687 – 694 .
   Web of Science ®Google Scholar
• Tao , W. Q. and Wen . 2001 . Numerical Heat Transfer , 153 – 154 . Xian : Jiaotong University Press .
   Google Scholar
• Hottel , H. C. and Cohen , E. S. 1958 . Radiant Heat Exchange in a Gas-Filled Enclosure: Allowance for Nonuniformity of Gas Temperature . AIChE J. , 4 : 3 – 14 .
   Web of Science ®Google Scholar
• Goyheneche , J. M. and Sacadura , J. F. 2002 . The Zone Method: A New Explicit Matrix Relation to Calculate the Total Exchange Areas in Anisotropically Scattering Medium Bounded By Anisotropically Reflecting Walls . ASME J. Heat Transfer , 124 : 696 – 703 .
   Web of Science ®Google Scholar
• Tan , H. P. and Lallemand , M. 1989 . Transient Radiative-Conductive Heat Transfer In Flat Glasses Submitted to Temperature, Flux and Mixed Boundary Conditions . Int. J. Heat Mass Transfer , 32 : 795 – 810 .
   Web of Science ®Google Scholar
• Tan , H. P. , Ruan , L. M. , Xia , X. L. , Yu , Q. Z. and Tong , T. W. 1999 . Transient Coupled Radiative and Conductive Heat Transfer in an Absorbing, Emitting and Scattering Medium . Int. J. Heat Mass Transfer , 42 : 2967 – 2980 .
   Web of Science ®Google Scholar
• Zhen , B. 2003 . Research on False Scattering and Ray Effect in the Solution of Thermal Radiative Transfer Equation , Harbin, , P. R. China : Harbin Institute of Technology . Dissertation for the Master Degree in Engineering
   Google Scholar