• Acta Physica Sinica
  • Vol. 69, Issue 11, 119501-1 (2020)
Yu-Pei Xu1、2 and Shu Li1、*
Author Affiliations
  • 1Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
  • 2Graduate School of China Academy of Engineering Physics, Beijing 100088, China
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    DOI: 10.7498/aps.69.20200024 Cite this Article
    Yu-Pei Xu, Shu Li. Modification of method of sampling radiation source particle in spherical geometry[J]. Acta Physica Sinica, 2020, 69(11): 119501-1 Copy Citation Text show less
    Material temperature with different cell numbers (t = 10 ns).
    Fig. 1. Material temperature with different cell numbers (t = 10 ns).
    The convergence of material temperature: (a) Material temperature change with time in r = 0.05 cm; (b) material temperature change with cell number in r = 0.05 cm (t = 5 ns).
    Fig. 2. The convergence of material temperature: (a) Material temperature change with time in r = 0.05 cm; (b) material temperature change with cell number in r = 0.05 cm (t = 5 ns).
    The dependence of temperature on space is approxi-mately linear.
    Fig. 3. The dependence of temperature on space is approxi-mately linear.
    Spatial probability density distribution of radiation source particle in different positions of radiation wave: (a) Cell 9, in the behind of wave; (b) cell 18, in the behind of wave; (c) cell 22, in the head of wave; (d) cell 26, in the head of wave.
    Fig. 4. Spatial probability density distribution of radiation source particle in different positions of radiation wave: (a) Cell 9, in the behind of wave; (b) cell 18, in the behind of wave; (c) cell 22, in the head of wave; (d) cell 26, in the head of wave.
    Material temperature with different cell numbers (t = 10 ns): (a) Multiplying sampling method; (b) stepped approximation sampling method.
    Fig. 5. Material temperature with different cell numbers (t = 10 ns): (a) Multiplying sampling method; (b) stepped approximation sampling method.
    Results of two new sampling methods with 40 cells (t = 10 ns).
    Fig. 6. Results of two new sampling methods with 40 cells (t = 10 ns).
    Cell numberStandard deviation/eVMaximum error/eV
    2080.8273
    4048.7254
    10028.9245
    20013.0125
    Table 1. Relative to the reference solution, the standard deviation and the maximum error of temperature curves with different cell numbers.
    Cell numberParticle numberComputation time/s
    201 × 1041.80 × 103
    402 × 1042.72 × 103
    1005 × 1045.74 × 103
    2002 × 1052.28 × 104
    4004 × 1055.06 × 104
    Table 2. Computation time with different cell numbers.
    Cell number乘抽样法阶梯近似抽样法
    Standard deviation/eVMaximum error/eVStandard deviation/eVMaximum error/eV
    2021.6091.618.8077.8
    4013.6075.412.4068.7
    10010.4077.910.4087.6
    2005.6463.35.2759.5
    Table 3. Relative to the reference solution, the standard deviation, and the maximum error of temperature curves with difference cell numbers.
    Sampling methodCell numberParticle number/104Computation time/103 s
    等温法抽样2011.80
    4022.72
    10055.74
    2002022.80
    4004050.60
    乘抽样法2011.65
    4022.56
    10055.64
    2002022.40
    阶梯近似抽样法2011.61
    4022.58
    10055.75
    2002022.40
    Table 4. Computation time of the problem.
    Yu-Pei Xu, Shu Li. Modification of method of sampling radiation source particle in spherical geometry[J]. Acta Physica Sinica, 2020, 69(11): 119501-1
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