Monte Carlo solution of a semi-discrete transport equation

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The authors present the S{sub {infinity}} method, a hybrid neutron transport method in which Monte Carlo particles traverse discrete space. The goal of any deterministic/stochastic hybrid method is to couple selected characters from each of the methods in hopes of producing a better method. The S{sub {infinity}} method has the features of the lumped, linear-discontinuous (LLD) spatial discretization, yet it has no ray-effects because of the continuous angular variable. They derive the S{sub {infinity}} method for the solid-state, mono-energetic transport equation in one-dimensional slab geometry with isotropic scattering and an isotropic internal source. They demonstrate the viability of the S{sub ... continued below

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Urbatsch, T.J.; Morel, J.E. & Gulick, J.C. September 1, 1999.

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The authors present the S{sub {infinity}} method, a hybrid neutron transport method in which Monte Carlo particles traverse discrete space. The goal of any deterministic/stochastic hybrid method is to couple selected characters from each of the methods in hopes of producing a better method. The S{sub {infinity}} method has the features of the lumped, linear-discontinuous (LLD) spatial discretization, yet it has no ray-effects because of the continuous angular variable. They derive the S{sub {infinity}} method for the solid-state, mono-energetic transport equation in one-dimensional slab geometry with isotropic scattering and an isotropic internal source. They demonstrate the viability of the S{sub {infinity}} method by comparing their results favorably to analytic and deterministic results.

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Medium: P; Size: vp.

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INIS; OSTI as DE00756987

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  • ANS, Math and Computations, Madrid (ES), No date supplied; Other Information: Conference held during 09/1999

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  • Report No.: LA-UR-99-1131
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 756987
  • Archival Resource Key: ark:/67531/metadc706751

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  • September 1, 1999

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  • Sept. 12, 2015, 6:31 a.m.

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  • May 6, 2016, 2:49 p.m.

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Urbatsch, T.J.; Morel, J.E. & Gulick, J.C. Monte Carlo solution of a semi-discrete transport equation, article, September 1, 1999; New Mexico. (digital.library.unt.edu/ark:/67531/metadc706751/: accessed August 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.