COMPARISON OF MONTE CARLO METHODS FOR NONLINEAR RADIATION TRANSPORT

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Five Monte Carlo methods for solving the nonlinear thermal radiation transport equations are compared. The methods include the well-known Implicit Monte Carlo method (IMC) developed by Fleck and Cummings, an alternative to IMC developed by Carter and Forest, an ''exact'' method recently developed by Ahrens and Larsen, and two methods recently proposed by Martin and Brown. The five Monte Carlo methods are developed and applied to the radiation transport equation in a medium assuming local thermodynamic equilibrium. Conservation of energy is derived and used to define appropriate material energy update equations for each of the methods. Details of the Monte ... continued below

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274 Kilobytes pages

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MARTIN, W. R. & BROWN, F. B. March 1, 2001.

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Five Monte Carlo methods for solving the nonlinear thermal radiation transport equations are compared. The methods include the well-known Implicit Monte Carlo method (IMC) developed by Fleck and Cummings, an alternative to IMC developed by Carter and Forest, an ''exact'' method recently developed by Ahrens and Larsen, and two methods recently proposed by Martin and Brown. The five Monte Carlo methods are developed and applied to the radiation transport equation in a medium assuming local thermodynamic equilibrium. Conservation of energy is derived and used to define appropriate material energy update equations for each of the methods. Details of the Monte Carlo implementation are presented, both for the random walk simulation and the material energy update. Simulation results for all five methods are obtained for two infinite medium test problems and a 1-D test problem, all of which have analytical solutions. Conclusions regarding the relative merits of the various schemes are presented.

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274 Kilobytes pages

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  • Report No.: LA-UR-01-1728
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 776954
  • Archival Resource Key: ark:/67531/metadc724857

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  • March 1, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • March 11, 2016, 5:07 p.m.

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MARTIN, W. R. & BROWN, F. B. COMPARISON OF MONTE CARLO METHODS FOR NONLINEAR RADIATION TRANSPORT, article, March 1, 2001; New Mexico. (digital.library.unt.edu/ark:/67531/metadc724857/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.