论文摘要
为了提高对非稳态的Navier-Stokes/Darcy方程求解的效率与精度,提出一种新的时间异步稳定化特征线有限元法;将耦合的问题解耦为非稳态的Navier-Stokes方程和Darcy方程2个子问题,然后对每一个子问题进行求解,即在较小的时间步长上,使用稳定化特征线有限元法求解非稳态的Navier-Stokes方程,在较大的时间步长上,通过Lagrangian元求解Darcy方程。结果表明,新的数值方法具有良好的稳定性,当精确解是光滑的且初始解的近似足够精确时,误差估计最优。
论文目录
文章来源
类型: 期刊论文
作者: 贾晓峰,贾宏恩
关键词: 稳定化特征线有限元方法,方程,收敛性分析,时间异步
来源: 济南大学学报(自然科学版) 2019年02期
年度: 2019
分类: 工程科技Ⅱ辑,基础科学
专业: 数学,力学
单位: 太原理工大学数学学院
基金: 国家自然科学基金项目(11401422),山西省自然科学基金项目(2015011001)
分类号: O175.29;O35
DOI: 10.13349/j.cnki.jdxbn.2019.02.014
页码: 173-182
总页数: 10
文件大小: 255K
下载量: 34
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标签：稳定化特征线有限元方法论文; 方程论文; 收敛性分析论文; 时间异步论文;