Multigroup discrete ordinates solution of Boltzmann-Fokker-Planck equations and cross section library development of ion transport

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We have developed and successfully implemented a two-dimensional bilinear discontinuous in space and time, used in conjunction with the S{sub N} angular approximation, to numerically solve the time dependent, one-dimensional, one-speed, slab geometry, (ion) transport equation. Numerical results and comparison with analytical solutions have shown that the bilinear-discontinuous (BLD) scheme is third-order accurate in the space ad time dimensions independently. Comparison of the BLD results with diamond-difference methods indicate that the BLD method is both quantitavely and qualitatively superior to the DD scheme. We note that the form of the transport operator is such that these conclusions carry over to ... continued below

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Medium: P; Size: 37 p.

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Prinja, A.K. August 1, 1995.

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Description

We have developed and successfully implemented a two-dimensional bilinear discontinuous in space and time, used in conjunction with the S{sub N} angular approximation, to numerically solve the time dependent, one-dimensional, one-speed, slab geometry, (ion) transport equation. Numerical results and comparison with analytical solutions have shown that the bilinear-discontinuous (BLD) scheme is third-order accurate in the space ad time dimensions independently. Comparison of the BLD results with diamond-difference methods indicate that the BLD method is both quantitavely and qualitatively superior to the DD scheme. We note that the form of the transport operator is such that these conclusions carry over to energy dependent problems that include the constant-slowing-down-approximation term, and to multiple space dimensions or combinations thereof. An optimized marching or inversion scheme or a parallel algorithm should be investigated to determine if the increased accuracy can compensate for the extra overhead required for a BLD solution, and then could be compared to other discretization methods such as nodal or characteristic schemes.

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Medium: P; Size: 37 p.

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INIS; OSTI as DE96000289

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  • Other Information: PBD: Aug 1995

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  • Other: DE96000289
  • Report No.: DOE/ER/75707--T1
  • Grant Number: FG02-92ER75707;FG03-93ER75881
  • DOI: 10.2172/106676 | External Link
  • Office of Scientific & Technical Information Report Number: 106676
  • Archival Resource Key: ark:/67531/metadc628341

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  • August 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • Dec. 9, 2015, 1:36 p.m.

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Prinja, A.K. Multigroup discrete ordinates solution of Boltzmann-Fokker-Planck equations and cross section library development of ion transport, report, August 1, 1995; United States. (digital.library.unt.edu/ark:/67531/metadc628341/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.