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When using the implicit Monte Carlo method to simulate the thermal radiative photon transfer in materials, the radiative source particles emitted by the material should be treated carefully. In traditional sampling method for the location of radiative source particles can be regarded as uniform in a single cell, and this is reasonable for most of thermal radiative transfer problems. But it may result in unacceptable error in the problem which has a large absorption cross-section and remarkable temperature difference in a single cell. The reason for this error is discussed in this paper. A new method based on radiation energy density distribution is proposed and the sampling formula is derived. Numerical test indicates that the new method will give results much better than the old method and in agreement with the analytical results.
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Keywords:
- implicit Monte Carlo method /
- thermal radiative /
- transfer /
- sampling method
[1] Zhang J, Chang T Q 2004 Fundaments of the Target Physics for Laser Fusion (Beijing: National Defense Industry Press) p1 (in Chinese) [张均, 常铁强2004激光核聚变靶物理基础 (北京: 国防工业出版社)第1页]
[2] Bowers R L, Wilson J R 1991 Numerical Modeling in Applied Physics and Astrophysics (Boston: Jones and Bartlett Publishers) p347
[3] Peng H M 2008 Radiation Transport and Radiation Hydrodynamics in Plasmas (Beijing: National Defense Industry Press) p38 (in Chinese) [彭惠民2008等离子体中辐射输运和辐射流体力学(北京: 国防工业出版社)第38页]
[4] Fleck J A, Cummings J D 1971 J. Comput. Phys. 8 313
[5] Wollaber A B 2008 Ph. D. Dissertation (Ann Arbor: University of Michigan)
[6] Li S, Li G, Tian D F, Deng L 2013 Acta Phys. Sin. 62 249501 (in Chinese) [李树, 李刚, 田东风, 邓力 2013 62 249501]
[7] Evans T M, Urbatsch T J 2002 MILAGRO: A Parallel Implicit Monte Carlo Codefor 3-D Radiative Transfer (Los Alamos: Los Alamos National Laboratory) NM 87545
[8] Feng T G, Lai D X 1996 Sci. China: E 39 461
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[1] Zhang J, Chang T Q 2004 Fundaments of the Target Physics for Laser Fusion (Beijing: National Defense Industry Press) p1 (in Chinese) [张均, 常铁强2004激光核聚变靶物理基础 (北京: 国防工业出版社)第1页]
[2] Bowers R L, Wilson J R 1991 Numerical Modeling in Applied Physics and Astrophysics (Boston: Jones and Bartlett Publishers) p347
[3] Peng H M 2008 Radiation Transport and Radiation Hydrodynamics in Plasmas (Beijing: National Defense Industry Press) p38 (in Chinese) [彭惠民2008等离子体中辐射输运和辐射流体力学(北京: 国防工业出版社)第38页]
[4] Fleck J A, Cummings J D 1971 J. Comput. Phys. 8 313
[5] Wollaber A B 2008 Ph. D. Dissertation (Ann Arbor: University of Michigan)
[6] Li S, Li G, Tian D F, Deng L 2013 Acta Phys. Sin. 62 249501 (in Chinese) [李树, 李刚, 田东风, 邓力 2013 62 249501]
[7] Evans T M, Urbatsch T J 2002 MILAGRO: A Parallel Implicit Monte Carlo Codefor 3-D Radiative Transfer (Los Alamos: Los Alamos National Laboratory) NM 87545
[8] Feng T G, Lai D X 1996 Sci. China: E 39 461
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