| 带间断扩散系数热传导方程的高精度数值模拟方法研究 |
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| 引用本文： | 宋淑红,王双虎.带间断扩散系数热传导方程的高精度数值模拟方法研究[J].应用数学学报,2011,34(2). |
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| 作者姓名： | 宋淑红 王双虎 |
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| 作者单位： | 1. 北京应用物理与计算数学研究所,北京,100094
2. 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,北京,100094;北京大学应用物理与技术研究中心,北京,100871 |
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| 基金项目： | 国家自然科学基金重点项目，青年科学基金项目 |
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| 摘 要： | 针对热传导方程在间断扩散系数处的数值求解困难,作者已经提出了"孪生逼近"自适应方法.本文以一维问题为例,推广热传导方程解的内蕴连续性到高阶,进而研究构造了更高精度,更经济的"孪生逼近"算法,并用数值结果进行了检验.
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| 关 键 词： | 热传导方程 间断扩散系数 差分离散 |
High Accuracy Numerical Method for Heat Conduction Equation With Discontinuous Diffusion Coefficient |
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| SONG SHUHONG,WANG SHUANGHU.High Accuracy Numerical Method for Heat Conduction Equation With Discontinuous Diffusion Coefficient[J].Acta Mathematicae Applicatae Sinica,2011,34(2). |
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| Authors: | SONG SHUHONG WANG SHUANGHU |
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| Institution: | SONG SHUHONG Institute of Applied Physics and Computational Mathematics,Beijing 100094) WANG SHUANGHU (National Key Laboratory of Computational Physics,Beijing 100088) (Institute of Applied Physics and Computational Mathematics,Beijing 100094) (Center for Applied Physics and Technology,Beijing 100871) |
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| Abstract: | For the numerical difficulties on discontinuous diffusion coefficient of heat conduction equations,the so-calledtwin-fittingadaptive method has been proposed.In this paper,the intrinsic properties of heat conduction equations are extended to high order,and a kind oftwin-fittingalgorithm which is more accurate and more economic is constructed, at last numerical experiments validate the algorithm's advantages. |
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| Keywords: | heat conduction equation discontinuous diffusion coefficient difference discretization |
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