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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 1
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Original Articles

SPATIAL DIFFERENCING SCHEMES OF THE DISCRETE-ORDINATES METHOD

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Pages 23-43 | Received 07 Aug 1995, Accepted 01 Feb 1996, Published online: 28 Mar 2007

References

  • S. Chandrasekhar , Radiative Transfer , Dover Publications , New York , 1960 .
  • D. J. Hyde and J. S. Truelove , The Discrete-Ordinates Approximation for Multidimensional Radiative Heat Transfer in Furnaces , UKAEA Rep. AERE-R8502 , 1977 .
  • W. A. Fiveland , Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures , J. Heat Transfer , vol. 106 , pp. 699 – 706 , 1984 .
  • W. A. Fiveland , Three-Dimensional Radiative Heat–Transfer Solutions by the Discrete Ordinates Method , J. Thermophys. Heat Transfer , vol. 2 , pp. 309 – 316 , 1988 .
  • A. S. Jamaluddin , P. , J. Smith , Predicting Radiative Transfer in Rectangular Enclosures Using the Discrete Ordinate Method , Combustion Sci. TechnoL , vol. 59 , pp. 321 – 340 , 1988 .
  • T. K. Kim and H. Lee , Effect of Anisotropic Scattering on Radiative Heat Transfer in Two-Dimensional Rectangular Enclosures , Int. J. Heat Mass Transfer , vol. 31 , pp. 1711 – 1721 , 1988 .
  • B. R. Adams , and P. J. Smith , Three-Dimensional Discrete-Ordinates Modeling of Radiative Transfer in a Geometrically Complex Furnace , Combustion Sci. Technol , vol. 88 , pp. 293 – 308 , 1993 .
  • C. P. Thurgood , A Critical Evaluation of the Discrete Ordinates Method Using HEART and TN Quadrature , Ph. D. thesis , Queen's University , Ontario , Canada , 1992 .
  • C. P. Thurgood , H. A. Becker , and A. Pollard , The 7N Quadrature Set for the Discrete-Ordinates Method , J. Heat Transfer , vol. 117 , pp. 1068 – 1070 , 1995 .
  • B. G. Carlson and K. D. Lathrop , Transport Theory—The Method of Discrete Ordinates , in H. Greenspan, C. N. Kelber, and D. Okrent (eds) , Computing Method in Reactor Physics , Gordon & Breach , New York , 1968 .
  • K. D. Lathrop , Spatial Differencing of the Transport Equation Positivity vs Accuracy , J. Comput. Phys. , vol. 4 , pp. 475 – 498 , 1969 .
  • J. C. Chai , S. V. Patankar , and H. S. Lee , Evaluation of Spatial Differencing Practices for the Discrete-Ordinates Method , J. Thermophys. Heat Transfer , vol. 8 , no. 1 , pp. 140 – 144 , 1994 .
  • B. P. Leonard , A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation , Comput. Meth. Appl. Mech. Eng. , vol. 19 , pp. 59 – 98 , 1979 .
  • A. Harten , High Resolution Schemes for Hyperbolic Conservation Laws , J. Comput. Phys. , vol. 49 , no. 3 , pp. 359 – 393 , 1983 .
  • P. H. Gaskell and A. K. C. Lau , Curvature-Compensated Convective Transport SMART, A New Boundedness–Preserving Transport Algorithm , Int. J. Numer. Meth. Fluids , vol. 8 , pp. 617 – 641 , 1988 .
  • W. A. Fiveland and J. P. Jessee , Comparison of Discrete Ordinates Formulations for Radiative Heat Transfer in Multidimensional Geometries , J. Thermophys. Heat Transfer , vol. 9 , no. 1 , pp. 47 – 54 , 1995 .
  • M. S. Darwish and F. H. Moukalled , Normalized Variable and Space Formulation Methodology for High–Resolution Schemes , Numer. Heat Transfer Part B , vol. 26 , pp. 79 – 96 , 1994 .
  • R. Viskanta and M. P. Mengue , Radiation Heat Transfer in Combustion Systems , Prog. Energy Combustion Sci. , vol. 13 , pp. 97 – 160 , 1987 .
  • S. G. Rubin and P. K. Khosla , Polynomial Interpolation Method for Viscous Flow Calculations , J. Comput. Phys. , vol. 27 , pp. 153 – 168 , 1982 .
  • M. P. Menguc and R. Viskanta , Radiative Transfer in Three-Dimensional Rectangular Geometries Containing Inhomogeneous, Anisotropic Scattering Media , J. Quant. Spectrosc. Radiat. Transfer , vol. 33 , pp. 533 – 549 , 1985 .
  • J. S. Truelove , Three-Dimensional Radiation in Absorbing-Emitting–Scattering Media Using the Discrete–Ordinates Approximation , J. Quant. Spectrosc. Radiat. Transfer , vol. 39 , pp. 27 – 31 , 1988 .
  • Address correspondence to Dr. Andrew Pollard, Centre for Advanced Gas Combustion Technology, Department of Mechanical Engineering, Queen's University, Kingston, Ontario K7L 3N6, Canada.

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