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三维对流扩散方程的高精度紧致差分格式
  • ISSN号：1001-4748
  • 期刊名称：《山东师范大学学报：自然科学版》
  • 时间：0
  • 分类：O241[理学—计算数学;理学—数学]
  • 作者机构：山东师范大学数学与统计学院,济南250014
  • 相关基金：国家自然科学基金资助项目（11171193）; 山东省科技发展计划资助项目（2012GGB01198）; 山东省自然科学基金资助项目（ZR2011AM016,ZR2014AM033）
作者： 乔海丽, 姜子文
关键词： 对流扩散方程, 紧致差分方法, 数值实验, convection-diffusion equations, compact difference schemes, numerical experiments
中文摘要：

以一维定常对流扩散方程的高精度差分格式为基础,构造了三维非定常对流扩散方程的高精度紧致差分格式.该格式为两层格式,时间具有二阶精度,空间具有四阶精度.具体算例说明了上述格式的精确性和可靠性.

英文摘要：

In this paper,a high accuracy compact difference scheme of three-dimensional unsteady convection diffusion equation was constructed based on a high accuracy difference scheme of one-dimensional steady convection diffusion equation.The scheme was two-layers format which has two order accuracy in time and four order accuracy in space.The accuracy and reliability of the above format were illustrated by numerical examples.

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期刊信息
  • 《山东师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:山东省教育厅
  • 主办单位:山东师范大学
  • 主编：刘凯
  • 地址：山东济南市文化东路88号
  • 邮编：250014
  • 邮箱：jsnun@sdnu.edu.cn
  • 电话：0531-86180056 86180057
  • 国际标准刊号：ISSN：1001-4748
  • 国内统一刊号：ISSN：37-1166/N
  • 邮发代号:
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  • 被引量:6742