One-Dimensional Models for Time-Dependent Transport in Solid Cylinders

References

• Barichello, L. B., and C. E. Siewert . 2011. Some evaluations of basic nodal-like schemes for a selection of classical problems in particle transport theory. Ann. Nucl. Energy 38 (9):2101–2104.
   Web of Science ®Google Scholar
• Cassell, J. S., and M. M. R. Williams. 2007. An integral equation for radiation transport in an infinite cylinder with Fresnel reflection. J. Quant. Spectrosc. Radiat. Transf. 105 (1):12–31.
   Web of Science ®Google Scholar
• Ganapol, B. D. 2015. A more efficient implementation of the discrete-ordinates method for an approximate model of particle transport in a duct. Ann. Nucl. Energy 86:13–22.
   Web of Science ®Google Scholar
• Ganapol, B. D. 2017. Particle transport in a 3d duct by adding and doubling. J. Comput. Theor. Transp. 46 (3):202–228.
   Web of Science ®Google Scholar
• Garcia, R. D. 2013. Efficient implementation of the discrete-ordinates method for an approximate model of particle transport in ducts. In Congreso de Métodos Numéricos en Ingeníer ia, volume 25:28.
   Google Scholar
• Garcia, R. D. M. 2014. The analytical discrete ordinates method for a one-dimensional model of neutral particle transport in ducts. Nucl. Sci. Eng. 177 (1):35–51.
   Web of Science ®Google Scholar
• Garcia, R. D. M. 2015. Improvements in the ADO method for a one-dimensional model of neutral particle transport in ducts. J. Comput. Theor. Transp. 43 (1–7):68–82.
   Web of Science ®Google Scholar
• Garcia, R. D. M. 2016. Analytical discrete-ordinates solution for 3D particle transport in ducts as described by a 1D model with three basis functions. J. Comput. Theoret. Transp. 45 (5):335–350.
   Web of Science ®Google Scholar
• Garcia, R. D. M., and S. Ono. 1999. Improved discrete ordinates calculations for an approximate model of neutral particle transport in ducts. Nucl. Sci. Eng. 133 (1):40–54.
   Web of Science ®Google Scholar
• Garcia, R. D. M., S. Ono , and W. J. Vieira. 2000. The third basis function relevant to an approximate model of neutral particle transport in ducts. Nucl. Sci. Eng. 136 (3):388–398.
   Web of Science ®Google Scholar
• Garcia, R. D. M., S. Ono , and W. J. Vieira. 2003. Approximate one-dimensional models for multigroup neutral-particle transport in ducts. Transp. Theory Stat. Phys. 32 (5-7):505–543.
   Web of Science ®Google Scholar
• Gonzalez, A., and R. G. McClarren. 2017. Approximate one-dimensional models for monoenergetic neutral particle transport in ducts with wall migration. J. Comput. Theor. Transp. 46 (4):242–257.
   Web of Science ®Google Scholar
• Guymer, T. M., A. S. Moore, J. Morton, J. L. Kline, S. Allan, N. Bazin, J. Benstead, C. Bentley, A. J. Comley, J. Cowan, et al. 2015. Quantifying equation-of-state and opacity errors using integrated supersonic diffusive radiation flow experiments on the National Ignition Facility. Phys. Plasmas 22 (4):043303–043316.
   Web of Science ®Google Scholar
• Hammer, J. H., and M. D. Rosen. 2003. A consistent approach to solving the radiation diffusion equation. Phys. Plasmas (1994–Present) 10 (5):1829–1845.
   Web of Science ®Google Scholar
• Hurricane, O. A., and J. H. Hammer. 2006. Bent Marshak waves. Phys. Plasmas (1994–Present) 13 (11):113303.
   Web of Science ®Google Scholar
• Jing, Y., E. W. Larsen, and N. Xiang. 2010. One-dimensional transport equation models for sound energy propagation in long spaces: theory. J. Acoust. Soc. Am. 127 (4):2312.
   PubMed Web of Science ®Google Scholar
• Jing, Y., and N. Xiang. 2010. One-dimensional transport equation models for sound energy propagation in long spaces: simulations and experiments. J. Acoust. Soc. Am. 127 (4):2323.
   PubMed Web of Science ®Google Scholar
• Lane, T. K., and R. G. McClarren. 2013. New self-similar radiation-hydrodynamics solutions in the high-energy density, equilibrium diffusion limit. N. J. Phys. 15 (9):095013.
   Google Scholar
• Larsen, E. W. 1984. A one-dimensional model for three-dimensional transport in a pipe. Transp. Theory Stat. Phys. 13 (5):599–614.
   Google Scholar
• Larsen, E. W., F. Malvagi, and G. C. Pomraning. 1986. One-dimensional models for neutral particle transport in ducts. Nucl. Sci. Eng. 93 (1):13–30.
   Web of Science ®Google Scholar
• Marshak, R. E. 1958. Effect of radiation on shock wave behavior. Phys. Fluids 1 (1):24.
   Web of Science ®Google Scholar
• Moore, A. S., T. M. Guymer, J. Morton, B. Williams, J. L. Kline, N. Bazin, C. Bentley, S. Allan, K. Brent, A. J. Comley, et al. 2015. Characterization of supersonic radiation diffusion waves. J. Quant. Spectrosc. Radiat. Transf. 159 :19–28.
   Web of Science ®Google Scholar
• Nelson, E. M., and J. Reynolds. 2009. Semi-Analytic Solution for a Marshak Wave via Numerical Integration in Mathematica. Technical Report LA-UR-09-04551, Los Alamos National Laboratory, July.
   Google Scholar
• Petschek, A. G., R. E. Williamson, and J. K. Wooten. Jr. 1960. The penetration of radiation with constant driving temperature. Technical Report LAMS-2421, Los Alamos National Laboratory (LANL), Los Alamos, NM (United States).
   Google Scholar
• Prinja, A. K. 1996. On the solution of a nonlocal transport equation by the Weiner-Hopf method. Ann. Nucl. Energy 23 (4–5):429–440.
   Web of Science ®Google Scholar
• Prinja, A. K., and G. C. Pomraning. 1984. A statistical model of transport in a vacuum. Transp. Theory Stat. Phys. 13 (5):567–598.
   Google Scholar
• Urbatsch, T. J., and T. M. Evans. 2006. Milagro version 2 an implicit Monte Carlo code for thermal radiative transfer: capabilities, development, and usage. Technical Report LA-14195-MS, Los Alamos National Laboratory (LANL), Los Alamos, NM (United States).
   Google Scholar
• Visentin, C., N. Prodi, V. Valeau, and J. Picaut. 2012. A numerical investigation of the Fick's law of diffusion in room acoustics. J. Acoust. Soc. Am. 132 (5):3180.
   PubMed Web of Science ®Google Scholar
• Williams, M. M. R. 2007. Radiation transport in a light duct using a one-dimensional model. Phys. Scr. 76 (4):303–313.
   Web of Science ®Google Scholar