检索结果-南通市图书馆

All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations

Communications in Computational Physics 2011年第6期10卷 1-31页

作者： pierre degond Min Tang Institute of Mathematics of Toulouse Universite Paul Sabatier118route de Narbonne31062 Toulouse cedexFrance

An all speed scheme for the Isentropic Euler equations is presented in thispaper. When the Mach number tends to zero, the compressible Euler equations converge to their incompressible counterpart, in which the density becomes a constant. Increasing approximation errors and severe stability constraints are the main difficultyin the low Mach regime. The key idea of our all speed scheme is the special semiimplicit time discretization, in which the low Mach number stiff term is divided intotwo parts, one being treated explicitly and the other one implicitly. Moreover, the fluxof the density equation is also treated implicitly and an elliptic type equation is derivedto obtain the density. In this way, the correct limit can be captured without requesting the mesh size and time step to be smaller than the Mach number. Compared withprevious semi-implicit methods [11,13,29], firstly, nonphysical oscillations can be suppressed by choosing proper parameter, besides, only a linear elliptic equation needs tobe solved implicitly which reduces much computational cost. We develop this semiimplicit time discretization in the framework of a first order Local Lax-Friedrichs (orRusanov) scheme and numerical tests are displayed to demonstrate its performances.

关键词： Low Mach number Isentropic Euler equations compressible flow incompressible limit asymptotic preserving Rusanov scheme

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

Numerical Simulations of Rarefied Gases in Curved Channels: Thermal Creep, Circulating Flow, and Pumping Effect

引用

Communications in Computational Physics 2009年第10期6卷 919-954页

作者： Kazuo Aoki pierre degond Luc Mieussens Department of Mechanical Engineering and Science Graduate School of EngineeringKyoto UniversityKyoto 606-8501Japan Universite de Toulouse UPSINSAUT1UTMInstitut de Mathematiques de ToulouseF-31062 ToulouseFrance CNRS Institut de Mathematiques de Toulouse UMR 5219F-31062 ToulouseFrance Universite de Bordeaux Institut de Mathematiques de Bordeaux351cours de la Liberation33405 Talence cedexFrance

We present numerical simulations of a new system of micro-pump based on the thermal creep effect described by the kinetic theory of *** device is made of a simple smooth and curved channel with a periodic temperature *** the Boltzmann-BGK model as the governing equation for the gas flow,we develop a numerical method based on a deterministic finite volume scheme,implicit in time,with an implicit treatment of the boundary *** method is comparatively less sensitive to the slow flow velocity than the usual Direct Simulation Monte Carlo method in case of long devices,and turns out to be accurate enough to compute macroscopic quantities like the pressure field in the *** simulations show the ability of the device to produce a one-way flow that has a pumping effect.

关键词： Knudsen compressor thermal creep flow transpiration flow BGK model implicit scheme

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

Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations

引用

Communications in Computational Physics 2012年第1期11卷 147-178页

作者： Stephane Brull pierre degond Fabrice Deluzet Institut de Mathematiques de Bordeaux UMR 5251 Equipe Mathematiques Appliquees de Bordeaux(MAB)Universite Bordeaux 1351cours de la Liberation-33405 TALENCE cedexFrance Universite de Toulouse UPSINSAUT1UTMInstitut de Mathematiques de ToulouseF-31062 ToulouseFrance CNRS Institut de Mathematiques de Toulouse UMR 5219F-31062 ToulouseFrance

This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic *** numerical method is designed for arbitrary spacedependent anisotropy directions and does not require any specially adapted coordinate *** is also designed to be equally accurate in the strongly and the mildly anisotropic *** method is applied to the Euler-Lorentz system,in the drift-fluid *** system provides a model for magnetized plasmas.

关键词： Anisotropic elliptic problem asymptotic-preserving scheme Lorentz force large magnetic field low-Mach number drift-fluid limit

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

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：