Piecewise linear discretization of Symbolic Implicit Monte Carlo radiation transport in the difference formulation

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We describe a Monte Carlo solution for time dependent photon transport, in the difference formulation with the material in local thermodynamic equilibrium (LTE), that is piecewise linear in its treatment of the material state variable. Our method employs a Galerkin solution for the material energy equation while using Symbolic Implicit Monte Carlo (SIMC) to solve the transport equation. In constructing the scheme, one has the freedom to choose between expanding the material temperature, or the equivalent black body radiation energy density at the material temperature, in terms of finite element basis functions. The former provides a linear treatment of the ... continued below

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Brooks III, E D; Szoke, A & Peterson, J L November 15, 2005.

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We describe a Monte Carlo solution for time dependent photon transport, in the difference formulation with the material in local thermodynamic equilibrium (LTE), that is piecewise linear in its treatment of the material state variable. Our method employs a Galerkin solution for the material energy equation while using Symbolic Implicit Monte Carlo (SIMC) to solve the transport equation. In constructing the scheme, one has the freedom to choose between expanding the material temperature, or the equivalent black body radiation energy density at the material temperature, in terms of finite element basis functions. The former provides a linear treatment of the material energy while the latter provides a linear treatment of the radiative coupling between zones. Subject to the conditional use of a lumped material energy in the vicinity of strong gradients, possible with a linear treatment of the material energy, our approach provides a robust solution for time dependent transport of thermally emitted radiation that can address a wide range of problems. It produces accurate results in the diffusion limit.

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PDF-file: 50 pages; size: 1.1 Mbytes

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  • Journal Name: Journal of Computational Physics, vol. 220, no. 1, December 20, 2006, pp. 471-497

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  • Report No.: UCRL-JRNL-217559
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 898586
  • Archival Resource Key: ark:/67531/metadc891359

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  • November 15, 2005

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  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 30, 2016, 4:46 p.m.

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Brooks III, E D; Szoke, A & Peterson, J L. Piecewise linear discretization of Symbolic Implicit Monte Carlo radiation transport in the difference formulation, article, November 15, 2005; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc891359/: accessed November 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.