메뉴 건너뛰기




Volumn 11, Issue 4, 1997, Pages 540-548

Bounded, high-resolution differencing schemes applied to the discrete ordinates method

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; FINITE VOLUME METHOD; MATHEMATICAL OPERATORS;

EID: 0031249228     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/2.6296     Document Type: Article
Times cited : (65)

References (32)
  • 2
    • 0021523862 scopus 로고
    • Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures
    • Fiveland, W. A., "Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures," Journal of Heat Transfer, Vol. 106, No. 4, 1984, pp. 699-706.
    • (1984) Journal of Heat Transfer , vol.106 , Issue.4 , pp. 699-706
    • Fiveland, W.A.1
  • 3
    • 0016533228 scopus 로고
    • Ray-Effect Mitigation in Discrete Ordinate-Like Angular Finite Element Approximations in Neutron Transport
    • Briggs, L. L., Miller, W. F., and Lewis, E. E., "Ray-Effect Mitigation in Discrete Ordinate-Like Angular Finite Element Approximations in Neutron Transport," Nuclear Science and Engineering, Vol. 57, No. 3, 1975, pp. 205-217.
    • (1975) Nuclear Science and Engineering , vol.57 , Issue.3 , pp. 205-217
    • Briggs, L.L.1    Miller, W.F.2    Lewis, E.E.3
  • 4
    • 0022194737 scopus 로고
    • The Nodal Transport Method for General Triangular Meshes in (X,Y)-Geometries
    • Paternoster, R. R., and Walters, W. F., "The Nodal Transport Method for General Triangular Meshes in (X,Y)-Geometries," Progress in Nuclear Energy, Vol. 18, Nos. 1/2, 1986, pp. 153-160.
    • (1986) Progress in Nuclear Energy , vol.18 , Issue.1-2 , pp. 153-160
    • Paternoster, R.R.1    Walters, W.F.2
  • 5
    • 85003286490 scopus 로고
    • Three-Dimensional Radiative Heat Transfer Solutions by the Discrete-Ordinates Method
    • Fiveland, W. A., "Three-Dimensional Radiative Heat Transfer Solutions by the Discrete-Ordinates Method," Journal of Thermophysics and Heat Transfer, Vol. 2, No. 4, 1988, pp. 309-316.
    • (1988) Journal of Thermophysics and Heat Transfer , vol.2 , Issue.4 , pp. 309-316
    • Fiveland, W.A.1
  • 6
    • 0023454819 scopus 로고
    • Discrete-Ordinates Solutions of the Radiation Transport Equation
    • Truelove, J. S., "Discrete-Ordinates Solutions of the Radiation Transport Equation," Journal of Heat Transfer, Vol. 109, No. 4, 1988, pp. 1048-1051.
    • (1988) Journal of Heat Transfer , vol.109 , Issue.4 , pp. 1048-1051
    • Truelove, J.S.1
  • 7
    • 0028468781 scopus 로고
    • A Finite Element Formulation of the Discrete Ordinates Method for Multidimensional Geometries
    • Fiveland, W. A., and Jessee, J. P., "A Finite Element Formulation of the Discrete Ordinates Method for Multidimensional Geometries," Journal of Thermophysics and Heat Transfer, Vol. 8, No. 3, 1994, pp. 426-433.
    • (1994) Journal of Thermophysics and Heat Transfer , vol.8 , Issue.3 , pp. 426-433
    • Fiveland, W.A.1    Jessee, J.P.2
  • 8
    • 0025435057 scopus 로고
    • A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures with Participating Media
    • Raithby, G. D., and Chui, E. H., "A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures with Participating Media," Journal of Heat Transfer, Vol. 112, No. 2, 1990, pp. 415-423.
    • (1990) Journal of Heat Transfer , vol.112 , Issue.2 , pp. 415-423
    • Raithby, G.D.1    Chui, E.H.2
  • 10
    • 0029220342 scopus 로고
    • A Comparison of Discrete Ordinates Formulations for Radiative Heat Transfer in Multidimensional Geometries
    • Fiveland, W. A., and Jessee, J. P., "A Comparison of Discrete Ordinates Formulations for Radiative Heat Transfer in Multidimensional Geometries," Journal of Thermophysics and Heat Transfer, Vol. 9, No. 1, 1995, pp. 47-54.
    • (1995) Journal of Thermophysics and Heat Transfer , vol.9 , Issue.1 , pp. 47-54
    • Fiveland, W.A.1    Jessee, J.P.2
  • 11
    • 0001664635 scopus 로고
    • Ray Effects in the Discrete Ordinates Equations
    • Lathrop, K. D., "Ray Effects in the Discrete Ordinates Equations," Nuclear Science and Engineering, Vol. 32, 1968, pp. 357-369.
    • (1968) Nuclear Science and Engineering , vol.32 , pp. 357-369
    • Lathrop, K.D.1
  • 12
    • 0027840903 scopus 로고
    • Ray Effect and False Scattering in the Discrete Ordinates Method
    • Chai, J. C., Lee, H. S., and Patankar, S. V., "Ray Effect and False Scattering in the Discrete Ordinates Method," Numerical Heat Transfer, Part B, Vol. 24, No. 4, 1993, pp. 373-389.
    • (1993) Numerical Heat Transfer, Part B , vol.24 , Issue.4 , pp. 373-389
    • Chai, J.C.1    Lee, H.S.2    Patankar, S.V.3
  • 13
    • 0026173702 scopus 로고
    • The ULTIMATE Conservation Difference Scheme Applied to Unsteady One-Dimensional Advection
    • Leonard, B. P., "The ULTIMATE Conservation Difference Scheme Applied to Unsteady One-Dimensional Advection," Computer Methods in Applied Mechanics and Engineering, Vol. 88, No. 1, 1991, pp. 17-74.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.88 , Issue.1 , pp. 17-74
    • Leonard, B.P.1
  • 14
    • 0027677410 scopus 로고
    • A New High Resolution Scheme Based on the Normalized Variable Formulation
    • Darwish, M. S., "A New High Resolution Scheme Based on the Normalized Variable Formulation," Numerical Heat Transfer, Part B, Vol. 24, 1993, pp. 287-307.
    • (1993) Numerical Heat Transfer, Part B , vol.24 , pp. 287-307
    • Darwish, M.S.1
  • 15
    • 0000912312 scopus 로고
    • An Adaptive Weighted-Diamond Differencing Method for XYZ Geometry
    • Alcouffe, R. E., "An Adaptive Weighted-Diamond Differencing Method for XYZ Geometry," Transactions of the American Nuclear Society, Vol. 68A, 1993, pp. 206-209.
    • (1993) Transactions of the American Nuclear Society , vol.68 A , pp. 206-209
    • Alcouffe, R.E.1
  • 17
    • 0025724767 scopus 로고
    • The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering
    • Fiveland, W. A., "The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering," American Society of Mechanical Engineers, HTD-Vol. 72, 1991, pp. 89-96.
    • (1991) American Society of Mechanical Engineers , vol.72 HTD-VOL , pp. 89-96
    • Fiveland, W.A.1
  • 18
    • 0019371465 scopus 로고
    • A Survey of Finite Differences with Upwinding for Numerical Modelling of the Incompressible Convection Diffusion Equations
    • edited by C. Taylor and K. Morgan, Pineridge, Swansea, Wales, UK
    • Leonard, B. P., "A Survey of Finite Differences with Upwinding for Numerical Modelling of the Incompressible Convection Diffusion Equations," Computational Techniques in Transient and Turbulent Flow, edited by C. Taylor and K. Morgan, Vol. 2, Pineridge, Swansea, Wales, UK, 1981, pp. 1-35.
    • (1981) Computational Techniques in Transient and Turbulent Flow , vol.2 , pp. 1-35
    • Leonard, B.P.1
  • 19
    • 0028467986 scopus 로고
    • Normalized Variable and Space Formulation Methodology for High Resolution Schemes
    • Darwish, M. S., and Moukalled, F. H., "Normalized Variable and Space Formulation Methodology for High Resolution Schemes," Numerical Heat Transfer, Part B, Vol. 26, 1994, pp. 79-96.
    • (1994) Numerical Heat Transfer, Part B , vol.26 , pp. 79-96
    • Darwish, M.S.1    Moukalled, F.H.2
  • 20
    • 0024165638 scopus 로고
    • Curvature Compensated Convective Transport: SMART, a New Boundedness Preserving Transport Algorithm
    • Gaskell, P. H., and Lau, A. K. C., "Curvature Compensated Convective Transport: SMART, a New Boundedness Preserving Transport Algorithm," International Journal for Numerical Methods in Fluids, Vol. 8, No. 6, 1988, pp. 617-641.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , Issue.6 , pp. 617-641
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 21
    • 0000724830 scopus 로고
    • Use of Discrete-Ordinate Methods for Solution of Photon Transport Problems
    • Lathrop, K. D., "Use of Discrete-Ordinate Methods for Solution of Photon Transport Problems," Nuclear Science and Engineering, Vol. 24, 1966, pp. 381-388.
    • (1966) Nuclear Science and Engineering , vol.24 , pp. 381-388
    • Lathrop, K.D.1
  • 23
    • 84877350894 scopus 로고
    • Predicting Radiative Transfer in Axisymmetric Cylindrical Enclosures Using the Discrete Ordinates Method
    • Jamaluddin, A. S., and Smith, P. J., "Predicting Radiative Transfer in Axisymmetric Cylindrical Enclosures Using the Discrete Ordinates Method," Combustion Science and Technology, Vol. 62, Nos. 4-6, 1988, pp. 173-186.
    • (1988) Combustion Science and Technology , vol.62 , Issue.4-6 , pp. 173-186
    • Jamaluddin, A.S.1    Smith, P.J.2
  • 25
    • 40749159424 scopus 로고
    • High Resolution Schemes for Hyperbolic Conservation Laws
    • Harten, A., "High Resolution Schemes for Hyperbolic Conservation Laws," Journal of Computational Physics, Vol. 49, No. 3, 1983, pp. 357-393.
    • (1983) Journal of Computational Physics , vol.49 , Issue.3 , pp. 357-393
    • Harten, A.1
  • 26
    • 2442433925 scopus 로고
    • Towards the Ultimate Conservation Difference Scheme. V. A Second-Order Sequel to Godunov's Method
    • Van Leer, B., "Towards the Ultimate Conservation Difference Scheme. V. A Second-Order Sequel to Godunov's Method," Journal of Computational Physics, Vol. 32, 1977, pp. 101-136.
    • (1977) Journal of Computational Physics , vol.32 , pp. 101-136
    • Van Leer, B.1
  • 27
    • 34249988639 scopus 로고
    • Towards the Ultimate Conservation Difference Scheme. II. Monotonicity and Conservation Combined in a Second-Order Scheme
    • Van Leer, B., "Towards the Ultimate Conservation Difference Scheme. II. Monotonicity and Conservation Combined in a Second-Order Scheme," Journal of Computational Physics, Vol. 14, 1974, pp. 361-370.
    • (1974) Journal of Computational Physics , vol.14 , pp. 361-370
    • Van Leer, B.1
  • 28
    • 0030190118 scopus 로고    scopus 로고
    • Acceleration Schemes for the Discrete Ordinates Method
    • Fiveland, W. A., and Jessee, J. P., "Acceleration Schemes for the Discrete Ordinates Method," Journal of Thermophysics and Heat Transfer, Vol. 10, No. 3, 1996, pp. 445-451.
    • (1996) Journal of Thermophysics and Heat Transfer , vol.10 , Issue.3 , pp. 445-451
    • Fiveland, W.A.1    Jessee, J.P.2
  • 31
    • 0017009617 scopus 로고
    • Skew Upstream Differencing Schemes for Problems Involving Fluid Flow
    • Raithby, G. D., "Skew Upstream Differencing Schemes for Problems Involving Fluid Flow," Computer Methods in Applied Mechanics and Engineering, Vol. 9, No. 2, 1976, pp. 153-164.
    • (1976) Computer Methods in Applied Mechanics and Engineering , vol.9 , Issue.2 , pp. 153-164
    • Raithby, G.D.1
  • 32
    • 0020751280 scopus 로고
    • Two Dimensional Radiation in Absorbing-Emitting-Scattering Media Using the P-N Approximation
    • Ratzel, A. C., and Howell, J., "Two Dimensional Radiation in Absorbing-Emitting-Scattering Media Using the P-N Approximation," Journal of Heat Transfer, Vol. 105, No. 2, 1983, pp. 333-340.
    • (1983) Journal of Heat Transfer , vol.105 , Issue.2 , pp. 333-340
    • Ratzel, A.C.1    Howell, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.