论文摘要
本文考虑了一种求解大Reynolds数定常Navier-Stokes方程带回溯（backtracking）技巧的两水平有限元方法.其基本思想是,首先在一粗网格上求解带有亚格子模型稳定项的Navier-Stokes方程,然后在细网格上求解一个亚格子模型稳定化的线性Newton问题,最后又回到粗网格上求解线性化的校正问题.通过适当的稳定化参数和粗细网格尺寸的选取,本文的算法能取得最优渐近收敛阶.数值实验检验了理论分析的正确性和算法的有效性.
论文目录
文章来源
类型: 期刊论文
作者: 杨晓成,尚月强
关键词: 方程,大数,回溯技巧,亚格子稳定化方法,两水平方法
来源: 中国科学:数学 2019年05期
年度: 2019
分类: 基础科学
专业: 数学
单位: 西南大学数学与统计学院
基金: 国家自然科学基金(批准号:11361016),重庆市基础与前沿研究计划(批准号:cts2016jcyjA0348)资助项目
分类号: O241.82
页码: 815-830
总页数: 16
文件大小: 1770K
下载量: 39
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标签：方程论文; 大数论文; 回溯技巧论文; 亚格子稳定化方法论文; 两水平方法论文;