检索结果-南通市图书馆

GENERAL CAUCHY PROBLEM FOR THE LINEAR shallow-water equations ON AN EQUATORIAL BETA-PLANE

Journal of Hydrodynamics 2006年第3期18卷 303-309页

作者： SHEN Chun SHI Wei-hui School of Mathematics and Information Yantai Normal University Yantai 264025 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Department of Mathematics Shanghai University Shanghai 200444 China

Based on the theory of stratification, the well-posedness of the initial value problem for the linear shallow-water equations on an equatorial beta-plane was discussed. The sufficient and necessary conditions of the existence and uniqueness for the local solution of the equations were presented and the existence conditions for formal solutions of the equations vere also given. For the Cauchy problem on the hyper-plane {t = O}, the local analytic solution were worked out and a special case was discussed. Finally, an example was used to explain the variety of formal solutions for the ill-posed problem.

关键词： stratification initial value problem,well-posedness shallow-water equations

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

Least-squares finite-element method for shallow-water equations with source terms

引用

Acta Mechanica Sinica 2009年第5期25卷 597-610页

作者： Shin-Jye Liang Tai-Wen Hsu Department of Marine Environmental lnformatics National Taiwan Ocean University Department of Hydraulic and Ocean Engineering National Cheng Kung University

Numerical solution of shallow-water equations （SWE） has been a challenging task because of its nonlinear hyperbolic nature, admitting discontinuous solution, and the need to satisfy the C-property. The presence of source terms in momentum equations, such as the bottom slope and friction of bed, compounds the difficulties further. In this paper, a least-squares finite-element method for the space discretization and θ-method for the time integration is developed for the 2D non-conservative SWE including the source terms. Advantages of the method include： the source terms can be approximated easily with interpolation functions, no upwind scheme is needed, as well as the resulting system equations is symmetric and positive-definite, therefore, can be solved efficiently with the conjugate gradient method. The method is applied to steady and unsteady flows, subcritical and transcritical flow over a bump, 1D and 2D circular dam-break, wave past a circular cylinder, as well as wave past a hump. Computed results show good C-property, conservation property and compare well with exact solutions and other numerical results for flows with weak and mild gradient changes, but lead to inaccurate predictions for flows with strong gradient changes and discontinuities.

关键词： shallow-water equations Source terms Least-squares finite-element method Dam-break C-property

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

Simplification of Potential Vorcticity and MesoscaleQuasi-balanced Dynamics Model

引用

Advances in Atmospheric Sciences 1999年第2期16卷 304-313页

作者：赵强刘式适 Department of Geophysics Peking University Beijing

The physical characteristics of mesoscale are analyzed, and results show that the unbalanced forced motion is the fundamental cause, which leads to the evolution of some important mesoscale weather systems. In this paper, an alternative asymptotic expansion method, which is quite different from the conventional Rossby-number expansion, is used to simplify the potential vorticity equation. And the quasi-balanced (QB) model based on nonlinear balance equation is derived. The QB model, which is in analogy with the quasi-geostrophic model, can describe the fundamental characteristics of the mesoscale accurately and may be used as the basis of theoretical studies on the mesoscale atmospheric dynamics.

关键词： Balanced motions Potential vorticity shallow-water equations

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

Conceptual Modeling of Island Wake Interactions

Conceptual Modeling of Island Wake Interactions

引用

第五届海峡两岸水动力学研讨会

作者： Tai-Wen Hsu Meng-Hsien Chou Shin-Jye Liang Research Center for Ocean Energy and Strategies National Taiwan Ocean University Department of Hydraulic and Ocean Engineering National Cheng-Kung University Department of Marine Environmental Informatics National Taiwan Ocean University

Satellite images observed interactions of Lanyu Island wake and Green Island wake is numerical *** model is based on the depth-averaged shallow-water equations which are solved by the space-time least-squares finite-element *** results show downstream recirculations as well as island wakes of Lanyu Island and Green Island are well *** of Lanyu Island wake and Green Island wake are ***,a systematical and quantitative investigation is required to full understand the detailed interactions of Lanyu Island wake and Green Island wake.

关键词： island wakes least-squares finite-element method shallow-water equations

来源： cnki会议评论

在线全文

cnki会议

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

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

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：