Development of the adaptive collision source (ACS) method for discrete ordinates

William J. Walters, Alireza Haghighat

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 Scopus citations

    Abstract

    We have developed a new collision source method to solve the Linear Boltzmann Equation (LBE) more efficiently by adaptation of the angular quadrature order. The angular adaptation method is unique in that the flux from each scattering source iteration is obtained, with potentially a different quadrature order. Traditionally, the flux from every iteration is combined, with the same quadrature applied to the combined flux. Since the scattering process tends to distribute the radiation more evenly over angles (i.e., make it more isotropic), the quadrature requirements generally decrease with each iteration. This allows for an optimal use of processing power, by using a high order quadrature for the first few iterations that need it, before shifting to lower order quadratures for the remaining iterations. This is essentially an extension of the first collision source method, and we call it the adaptive collision source method (ACS). The ACS methodology has been implemented in the TITAN discrete ordinates code, and has shown a relative speedup of 1.5-2.5 on a test problem, for the same desired level of accuracy.

    Original languageEnglish (US)
    Title of host publicationInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
    Pages2339-2349
    Number of pages11
    Volume4
    StatePublished - 2013
    EventInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 - Sun Valley, ID, United States
    Duration: May 5 2013May 9 2013

    Other

    OtherInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
    CountryUnited States
    CitySun Valley, ID
    Period5/5/135/9/13

    All Science Journal Classification (ASJC) codes

    • Nuclear Energy and Engineering
    • Applied Mathematics

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