| 二维三温热传导方程的并行自适应多重网格算法求解 |
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| 引用本文： | 莫则尧,沈隆钧. 二维三温热传导方程的并行自适应多重网格算法求解[J]. 计算数学, 2004, 26(3): 337-350 |
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| 作者姓名： | 莫则尧 沈隆钧 |
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| 作者单位： | 北京应用物理与计算数学研究所计算物理实验室,北京,100088;北京应用物理与计算数学研究所计算物理实验室,北京,100088 |
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| 基金项目： | 国家自然科学基金(60273030)，国家973项目(G1999032805)，国家863计划资助项目. |
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| 摘 要： | 3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapping among photon,electron and ion. Owing to the strong nonlinear diffusion coefficients and energy swapping coefficients and strong discontinuous coefficients across media interfaces,this equation is difficult to be solved with high numerical resolution. Based on the parallel adaptive multigrid software framework UG on 2-D unstructured grid, this paper successfully solved such equation with high resolution by combining the finite volume implicit discretization scheme and parallel adaptive multigrid algorithm, and gained much significant results.
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| 关 键 词： | 三温热传导方程 自适应非结构网格 并行多重网格算法 UG软件 |
PARALLEL ADAPTIVE MULTIGRID SOLUTION FOR 2-D 3-T HEAT CONDUCT EQUATION |
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| Mo Zeyao Shen Longjun. PARALLEL ADAPTIVE MULTIGRID SOLUTION FOR 2-D 3-T HEAT CONDUCT EQUATION[J]. Mathematica Numerica Sinica, 2004, 26(3): 337-350 |
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| Authors: | Mo Zeyao Shen Longjun |
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| Affiliation: | Mo Zeyao Shen Longjun (Laboratory of Computational Physics, IAPCM, Beijing, 100088) |
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| Abstract: | 3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapping among photon, electron and ion. Owing to the strong nonlinear diffusion coefficients and energy swapping coefficients and strong discontinuous coefficients across media interfaces, this equation is difficult to be solved with high numerical resolution. Based on the parallel adaptive multigrid software framework UG on 2-D unstructured grid, this paper successfully solved such equation with high resolution by combining the finite volume implicit discretization scheme and parallel adaptive multigrid algorithm, and gained much significant results. |
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| Keywords: | 3-T heat conduct equation adaptive unstructured grid parallel multigrid algorithm UG |
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