An hp-angular adaptivity with the discrete ordinates method for Boltzmann transport equation

Dai Ni; Zhang Bin; Wang Xinyu; Lu Daogang; Chen Yixue

doi:10.1016/j.net.2022.10.023

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자료유형: 학술저널

저자정보: Dai Ni (School of Nuclear Science and Engineering North China Electric Power University) Zhang Bin (School of Nuclear Science and Engineering North China Electric Power University) Wang Xinyu (School of Nuclear Science and Engineering North China Electric Power University) Lu Daogang (School of Nuclear Science and Engineering North China Electric Power University) Chen Yixue (School of Nuclear Science and Engineering North China Electric Power University)

저널정보: 한국원자력학회 Nuclear Engineering and Technology Nuclear Engineering and Technology 제55권 제2호

발행연도: 2023.2

수록면: 769 - 779 (11page)

DOI: 10.1016/j.net.2022.10.023

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This paper describes an hp-angular adaptivity algorithm in the discrete ordinates method for Boltzmann transport applications with strong angular effects. This adaptivity uses discontinuous finite element quadrature sets with different degrees, which updates both angular mesh and the degree of the underlying discontinuous finite element basis functions, allowing different angular local refinement to be applied in space. The regular and goal-based error metrics are considered in this algorithm to locate some regions to be refined. A mapping algorithm derived by moment conservation is developed to pass the angular solution between spatial regions with different quadrature sets. The proposed method is applied to some test problems that demonstrate the ability of this hp-angular adaptivity to resolve complex fluxes with relatively few angular unknowns. Results illustrate that a reduction to approximately 1/50 in quadrature ordinates for a given accuracy compared with uniform angular discretization. This method therefore offers a highly efficient angular adaptivity for investigating difficult particle transport problems.

#Boltzmann transport equation #Discrete ordinates #hp-adaptivity #Quadrature sets

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