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二维三温热传导方程的并行自适应多重网格算法求解

PARALLEL ADAPTIVE MULTIGRID SOLUTION FOR 2-D 3-T HEAT CONDUCT EQUATION
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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. 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.
出处 《计算数学》 CSCD 北大核心 2004年第3期337-350,共14页 Mathematica Numerica Sinica
基金 国家自然科学基金(60273030) 国家973项目(G1999032805) 国家863计划资助项目.
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 三温能量方程 偏微分方程求解 3-T heat conduct equation, adaptive unstructured grid, parallel multigrid algorithm, UG
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参考文献10

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