| 非结构网格上温度扩散方程的能流计算方法 |
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| 引用本文： | 吕桂霞,沈隆钧,沈智军.非结构网格上温度扩散方程的能流计算方法[J].计算物理,2007,24(4):379-386. |
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| 作者姓名： | 吕桂霞 沈隆钧 沈智军 |
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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 |
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| 基金项目： | 国家自然科学基金
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国家自然科学基金
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中国物理研究院科研项目
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国家重点实验室基金 |
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| 摘 要： | 讨论非结构网格上温度扩散方程的能流计算方法.应用有限点方法(Finite Point Method,简称FPM)导出基于有限点两点公式和三点公式的能流计算公式,该公式适用于任意多边形及非匹配网格等非结构网格;给出网格角点温度新的计算公式.数值试验表明:基于两点公式的离散解和基于三点公式的离散解均具有平方阶的收敛速度;基于三点公式的离散解的精度总优于基于两点公式的离散解.
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| 关 键 词： | 扩散方程 非结构网格 有限点公式 能流计算 非结构网格 温度 扩散方程 计算方法 Unstructured Grids Diffusion Equation Temperature Energy Flux Methods 精度 收敛速度 离散解 数值试验 角点 非匹配网格 任意多边形 计算公式 Finite Point 有限点 |
| 文章编号： | 1001-246X（2007）04-0379-08 |
| 收稿时间： | 2006-10-26 |
| 修稿时间： | 2006-10-262007-01-31 |
Numerical Methods for Energy Flux of Temperature Diffusion Equation on Unstructured Grids |
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| L Guixia,SHEN Longjun,SHEN Zhijun.Numerical Methods for Energy Flux of Temperature Diffusion Equation on Unstructured Grids[J].Chinese Journal of Computational Physics,2007,24(4):379-386. |
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| Authors: | L Guixia SHEN Longjun SHEN Zhijun |
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| Institution: | Laboratory of Computational Physics, IAPCM, Beijing 100088, China |
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| Abstract: | Numerical methods for energy flux of temperature diffusion equation on unstructured grids are discussed.A finite point method(FPM) is used to get numerical formulae of energy flux based on two-point formula or three-point formula of FPM.These formulae are applicable to unstructured grids,such as arbitrary polygon and unmatched grids etc..A numerical formula is given to compute tem-peratures at grid nodes.Numerical experiments show that the discrete solutions based on two-point formula and three-point formula have second-order convergence rate even if grids distort heavily.Accuracy of the discrete solutions based on three-point formula is better than that of two-point formula. |
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| Keywords: | diffusion equation unstructured grid finite point method formula energy flux computation |
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