An adaptive mesh refinement algorithm for the discrete ordinates method

American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

Volumn 325, Issue , 1996, Pages 115-123

  Jessee, J Patrick ^a   Fiveland, Woodrow A ^a   Howell, Louis H ^b   Colella, Phillip ^b   Pember, Richard B ^b  

^a Research and Development Division   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; GEOMETRY; THREE DIMENSIONAL;

ADAPTIVE MESH REFINEMENT; DISCRETE ORDINATES METHOD; RADIATIVE TRANSPORT EQUATION;

HEAT TRANSFER;

EID: 4243063006     PISSN: 02725673     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (16)

1. Bell, J., Berger, M., Saltzman, J, and Welcome. M., 1994, "Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws," SIAM J. Sci. Comput., Vol. 15, No. 1, pp. 127-138.
2. Berger, M.J., and Colella, P., 1989, "Local Adaptive Mesh Refinement for Shock Hydrodynamics," J. Comput. Phys., Vol. 83, pp. 64-84.
3. Fiveland, W.A., 1984, "Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures," Transactions of ASME, Journal of Heat Transfer, Vol. 106, pp. 699-706.
4. Fiveland, W.A., 1988, "Three-Dimensional Radiative Heat Transfer Solutions by the Discrete-Ordinates Method," Journal of Thermophysics and Heat Transfer, Vol. 2, No. 4, pp. 309-316.
5. Fiveland, W.A., 1991, "The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering," ASME HTD-Vol. 72, pp. 89-96.
6. Fiveland, W.A., and Jamaluddin, A.S., 1991, "Three-Dimensional Spectral Radiative Heat Transfer Solutions by the Discrete Ordinates Method," Journal of Thermophysics and Heat Transfer, Vol. 5, No. 3, p. 335-339.
7. Fiveland, W.A. and Jessee, J.P., 1995a, "A Comparison of Discrete Ordinates Formulations for Radiative Heat Transfer in Multidimensional Geometries," Journal of Thermophysics and Heat Transfer, Vol. 9, No. 1, pp. 47-54.
8. Fiveland, W.A. and Jessee, J.P., 1995b, "Acceleration Schemes for the Discrete Ordinates Method," ASME HTD-Vol. 315, Proceedings of the 30th National Heat Transfer Conference, Volume 13.
9. Fuchs, L., 1986, "A Local Mesh Refinement Technique for Incompressible Flows," Comput. Fluids, 14, pp. 69-81.
10. Howell, L.H. and Bell, J.B., 1996, "An Adaptive Mesh Refinement Projection Method for Viscous Incompressible Flow," SIAM J. Sci. Comput., to appear.
11. Jessee, J.P. and Fiveland, W.A., 1996, "Bounded, High Resolution Differencing Schemes Applied to the Discrete Ordinates Method," 1996 National Heat Transfer Conference, Houston, TX, August 3-6.
12. Kallinderis, Y., 1992, "A Finite Volume Navier-Stokes Algorithm for Adaptive Grids," Int. J. Numerical Methods in Fluids, 15, pp. 193-217.
13. Lewis, E.E., and Miller, W.F., 1984, Computational Methods of Neutron Transport, John Wiley & Sons.
14. Modest, M.F., 1993, Radiative Heat Transfer, McGraw-Hill.
15. Ratzel, A.C. and Howell, J., 1982, Two Dimensional Radiation in Absorbing-Emitting-Scattering media using the P-N approximation," ASME paper No. 82-HT-19.
16. Zienkiewicz, O.C. and Zhu, J.Z., 1987, "A simple estimator and adaptive procedure for practical Engineering Analysis," Int. J. Num.