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带间断扩散系数热传导方程的高精度数值模拟方法研究
  • ISSN号：0254-3079
  • 期刊名称：应用数学学报
  • 时间：2011
  • 页码：229-239
  • 分类：O551.3[理学—热学与物质分子运动论;理学—物理]
  • 作者机构：[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, [3]北京大学应用物理与技术研究中心,北京100871
  • 相关基金：国家自然科学基金重点项目（10931004）; 青年科学基金项目（11001024）资助项目
  • 相关项目：辐射扩散问题的间断Galerkin高保真算法研究
作者： 宋淑红|王双虎|
关键词： 热传导方程, 间断扩散系数, 差分离散, heat conduction equation, discontinuous diffusion coefficient, difference discretization
中文摘要：

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.

英文摘要：

For the numerical difficulties on discontinuous diffusion coefficient of heat conduction equations,the so-called＂twin-fitting＂adaptive method has been proposed.In this paper,the intrinsic properties of heat conduction equations are extended to high order,and a kind of＂twin-fitting＂algorithm which is more accurate and more economic is constructed, at last numerical experiments validate the algorithm＇s advantages.

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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864