| 多孔复合介质周期结构热传导和质扩散问题的多尺度数值方法 |
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| 引用本文： | 曹礼群,罗剑兰.多孔复合介质周期结构热传导和质扩散问题的多尺度数值方法[J].工程热物理学报,2000,21(5):610-614. |
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| 作者姓名： | 曹礼群 罗剑兰 |
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| 作者单位： | 1. 湘潭大学数学系, 湖南 湘潭 411105；中国科学院计算数学与科学工程计算研究所,北京 100080
2. 北京航空航天大学理学院,北京 100083 |
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| 基金项目： | 国家自然科学基金!（No．19801006） |
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| 摘 要： | 本文针对一类复杂的多孔复合介质的热传导和质扩散问题，给出具体的多尺度渐近展开公式，并在此基础上设计了有限元算法格式，它是宏观和细观相结合的数值方法。理论分析和数值实验均表明：多尺度数值方法对求解多孔复合介质周期结构的热传导和质扩散问题是可行的和有效的。
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| 关 键 词： | 多孔复合介质 热传导 质扩散 多尺度渐近分析 有限元法 |
| 文章编号： | 0253-231X(2000)05-610-05 |
| 修稿时间： | 2000年1月18日 |
MULTISCALE NUMERICAL METHODS FOR HEAT AND MASS TRANSFER PROBLEMS OF COMPOSITE POROUS MEDIA WITH A PERIODIC STRUCTURES |
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| CAO Liqun,LUO Jianlan.MULTISCALE NUMERICAL METHODS FOR HEAT AND MASS TRANSFER PROBLEMS OF COMPOSITE POROUS MEDIA WITH A PERIODIC STRUCTURES[J].Journal of Engineering Thermophysics,2000,21(5):610-614. |
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| Authors: | CAO Liqun LUO Jianlan |
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| Abstract: | In this paper, we shall advance multiscale finite element computing formulas based on the multisacle asymptotic analysis method for the heat and mass transfer problems of composite porous media with a periodic structure. Because there are a complicated mesoscopic configuration and a large number of degree of freedom, is very difficult to solve these problems by using the usual analytic methods or numerical methods. The theoretical analysis and numerical experiments show that the multiscale finite element method presented in this paper is very effective to solve above these kinds of problems. |
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| Keywords: | composite porous medium heat and mass transfer multiscale asymptotic analysis finite element method |
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