Improved method for implicit Monte Carlo

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The Implicit Monte Carlo (IMC) method has been used for over 30 years to analyze radiative transfer problems, such as those encountered in stellar atmospheres or inertial confinement fusion. Reference [2] provided an exact error analysis of IMC for 0-D problems and demonstrated that IMC can exhibit substantial errors when timesteps are large. These temporal errors are inherent in the method and are in addition to spatial discretization errors and approximations that address nonlinearities (due to variation of physical constants). In Reference [3], IMC and four other methods were analyzed in detail and compared on both theoretical grounds and the ... continued below

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6 p.

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Brown, F. B. (Forrest B.) & Martin, W. R. (William R.) January 1, 2001.

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Description

The Implicit Monte Carlo (IMC) method has been used for over 30 years to analyze radiative transfer problems, such as those encountered in stellar atmospheres or inertial confinement fusion. Reference [2] provided an exact error analysis of IMC for 0-D problems and demonstrated that IMC can exhibit substantial errors when timesteps are large. These temporal errors are inherent in the method and are in addition to spatial discretization errors and approximations that address nonlinearities (due to variation of physical constants). In Reference [3], IMC and four other methods were analyzed in detail and compared on both theoretical grounds and the accuracy of numerical tests. As discussed in, two alternative schemes for solving the radiative transfer equations, the Carter-Forest (C-F) method and the Ahrens-Larsen (A-L) method, do not exhibit the errors found in IMC; for 0-D, both of these methods are exact for all time, while for 3-D, A-L is exact for all time and C-F is exact within a timestep. These methods can yield substantially superior results to IMC.

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6 p.

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  • "Submitted to: American Nuclear Society 2002 Annual Meeting, June 9-13, 2002, Hollywood, Florida"\

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  • Report No.: LA-UR-01-6772
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 975906
  • Archival Resource Key: ark:/67531/metadc926386

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  • January 1, 2001

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 9, 2016, 11:41 p.m.

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Brown, F. B. (Forrest B.) & Martin, W. R. (William R.). Improved method for implicit Monte Carlo, article, January 1, 2001; United States. (digital.library.unt.edu/ark:/67531/metadc926386/: accessed November 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.