检索结果-南通市图书馆

On the two-layer high-level Green-Naghdi model in a general form

Journal of Hydrodynamics 2024年第1期36卷 78-86页

作者： Bin-bin Zhao Tian-yu Zhang Zhan Wang Wen-yang Duan Alexander Chesnokov Natalia Shmakova College of Shipbuilding Engineering Harbin Engineering UniversityHarbin150001China Qingdao Innovation and Development Center of Harbin Engineering University Qingdao266000China Lavrentyev Institute of Hydrodynamics NovosibirskRussia

The traditional high-level Green-Naghdi(HLGN)model,which uses the polynomial as the shape function to approximate the variation of the horizontal-and vertical-velocity components along the vertical direction for each-fluid layer,can accurately describe the large-amplitude internal waves in a two-layer system for the shallow configuration(h_(2)/λ■1,h_(1)/λ■1).However,for the cases of the deep configuration(h_(2)/λ■1,h_(1)/λ=O(1)),higher-order polynomial is needed to approximate the variation of the velocity components along the vertical direction for the lower-fluid ***,however,introduces additional unknowns,leading to a significant increase in computational *** paper,for the first time,derives a general form of the HLGN model for a two-layer fluid system,where the general form of the shape function is used during the *** obtaining the general form of the two-layer HLGN equations,corresponding solutions can be obtained by determining the reasonable shape ***-amplitude internal solitary waves in a deep configuration are studied by use of two different HLGN *** of the two HLGN models shows that the polynomial as the shape function for the upper-fluid layer and the production of exponential and polynomial as the shape function for the lower-fluid layer is a good *** comparing with Euler’s solutions and the laboratory measurements,the accuracy of the two-layer HLGN model is verified.

关键词： High-level Green-Naghdi(HLGN)model general form internal waves deep configuration

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

实对称矩阵在相合分解下的Moore-Penrose型广义逆的通式

引用

高等学校计算数学学报 2006年第3期28卷 236-242页

作者：何楚宁湖南师范大学数学与计算机科学学院长沙410006

1引言与符号说明对m×n矩阵A,下列矩阵方程：（1）AXA=A,（2）XAX=x,（3）(AX);=AX,（4）(XA);=XA称为Penrose方程．如果X满足上述方程（i）(j),…（k）,则称X为（ij…k）逆,其全体记为A（ij…k）．（1234）逆常记为A;．所有这种矩阵叫... 详细信息

1引言与符号说明对m×n矩阵A,下列矩阵方程：（1）AXA=A,（2）XAX=x,（3）(AX);=AX,（4）(XA);=XA称为Penrose方程．如果X满足上述方程（i）(j),…（k）,则称X为（ij…k）逆,其全体记为A（ij…k）．（1234）逆常记为A;．所有这种矩阵叫广义逆（矩阵）或Moore- Penrose型逆（矩阵）．广义逆矩阵在许多数学领域有广泛应用．它在解矩阵方程中的作用

关键词： congruence decomposition real symmetric matrix Moore-Penrose inverses general form

来源：

同方期刊数据库评论

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Strong/weak limits and strong/weak differentials of multi-variable indeterminate forms. I: Deduction and geometric illustration

引用

Journal of Chongqing University 2003年第2期2卷 104-108页

作者：宋光世 Chongqing University Chongqing 400044 P.R.China

Strong and weak limits as well as strong and weak differentials of multi-variable indeterminate forms are discussed based on the thorough exploration of differentiation to solve the strong and weak limits and differentials of unitary indeterminate forms. The fruit of this work is going to be reported in three parts. The first part presents the standard analysis on this subject which supplements, systematizes and advances L. Hospital抯 principles on differential calculus by applying special ,general, and limit guaranteeing theories together with K(t) and XhK0 theories. The combination of theoretical analysis and geometric signification makes the derivation intuitional, visual and easy to perceive.

关键词： strong limit weak limit strong differential weak differential indeterminate form multi-variable special form general form

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：