Transient radiative transfer in anisotropically scattering media using monotonicity-preserving schemes

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

Volumn 366, Issue , 2000, Pages 135-143

  Sakami, M ^a   Mitra, K ^a   Hsu, P F ^a  

^a Florida Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347074840     PISSN: 02725673     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (19)

1. Brewster, M.Q., and Yamada, Y., 1995, "Optical Properties of Thick Turbid Media from Picosecond Time-Resolved Light Scattering Measurement" Int. J. Heat Mass Transfer, Vol. 38, No. 14, pp. 2569-2581.
2. Carpenter, R. L. Jr., Droegemeier, K. K., Woodward, P. R., and Hane, C. E., "Application of the Piecewise Parabolic Method (PPM) to Meteorological Modeling" Monthly Weather review, Vol. 118, pp 586-612.
3. Colella, P., and Woodward, P. R., 1984, "The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations" J. Comput.Phys., Vol. 54, pp 174-201.
4. Fiveland, W. A., 1988, "Three-Dimensional Radiative Heat Transfer Solution by the Discrete-Ordinates Method" J. Thermophysics. Heat Transfer, Vol. 2, No. 4, pp. 309-316.
5. Fleck, J. A., 1963, "The Calculation of Nonlinear Radiation Transport by a Monte Carlo Method" Methods in Computational Physics, edited by B. Alder, S. Fernbach and M. Rotenberg, Vol. 1, pp 43-65, Academic Press, New York and London.
6. Harten, A., 1983, "High Resolution Schemes for Hyperbolic Conservation Laws" J. Comput.Phys., Vol. 49, pp 357-393.
7. Hsu, P.-E., (2000), "Effects of Multiple Scattering and Reflective Boundary on the Transient Radiative Transfer Process," accepted for presentation at the National Heat Transfer Conf., Pittsburgh, PA, August 2000.
8. Ishimaru, A., 1989, "Diffusion of Light in Turbid Material", Applied Optics, Vol. 28, No. 12, pp 2210-2215.
9. Kumar, S., and Mitra, K., 1999, "Microscale Aspects of Thermal Radiation Transport and Laser Applications" Advances in Heat Transfer, Vol. 33, pp 187-293.
10. Mitra, K., and Kumar, S., 1999, "Development and Comparison of Models for Light-Pulse Transport Throught Scattering-Absorbing Media", Applied Optics, Vol. 38, No. 1, pp188-196.
11. Mitra, K., and Churnside J. H., 1999, "Transient Radiative Transfer Equation Applied to Oceanographic lidar", Applied Optics, Vol. 38, No. 6., pp 889-895.
12. Raithby, G. D., and Chui, E. H., 1990, "A Finite volume method for predicting a radiative heat transfer in enclosures with participating media" J. Heat Transfer, Vol 112, pp. 415-423.
13. Sawetprawichkul, A., Hsu, P.-F., and Mitra, K., (2000), "A Monte Carlo Study of the Transient Radiative Transfer within the One-Dimensional Mulit-Layered Slab," accepted for presentation at ASME Int. ME Cong. & Expo., Orlando, FL, Nov. 2000.
14. Stone, J. M., and Mihalas, D., 1992, "Upwind Monotonic Interpolation Methods for the Solution of the Time Dependent Radiative Transfer Equation" J. Comput.Phys., Vol. 100, No. 2, pp 402-408.
15. Tan, Z.-M., and Hsu, P.-F., 2000, "An Integral Formulation of Transient Radiative Transfer", accepted by J. Heat Transfer.
16. Thuburn, J., 1997, "TVD Schemes, Positive Schemes, and the Universal Limiter" Monthly Weather review, Vol. 125, pp 1990-1993.
17. van Leer, B., 1977, "Towards the Ultimate Conservative Difference Scheme. IV A New Approach to Numerical Convection" J. Comput.Phys., Vol. 23, pp 276-299.
18. Wendroff, B., 1958, "An unconditionally Stable, Finite Difference Method for Solving Transport Problems" Los Alamos Scientific Laboratory Report, LAMS-2199.
19. Wu, C.-Y., 1999, "Propagation of scattered radiation in a participating planar medium with pulse irradiation" J. Quant. Spectrosc. Radiat. Transfer, Vol. 64, No. 5, pp. 537-548.