检索结果-南通市图书馆

Higher-order compact scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

Communications in Computational Physics 2012年第1期11卷 99-113页

作者： T.V.S.Sekhar B.Hema Sundar Raju Y.V.S.S.Sanyasiraju Department of Mathematics Pondicherry Engineering CollegePuducherry-605014India Department of Mathematics Indian Institute of TechnologyMadrasChennai-600036India

A higher-order compact scheme on the nine point 2-D stencil is developed for the steady stream-function vorticity form of the incompressible Navier-Stokes(NS)equations in spherical polar coordinates,which was used earlier only for the cartesian and cylindrical *** steady,incompressible,viscous and axially symmetric flow past a sphere is used as a model *** non-linearity in the N-S equations is handled in a comprehensive manner avoiding complications in *** scheme is combined with the multigrid method to enhance the convergence *** solutions are obtained over a non-uniform grid generated using the transformation r=ex while maintaining a uniform grid in the computational *** superiority of the higher order compact scheme is clearly illustrated in comparison with upwind scheme and defect correction technique at high Reynolds numbers by taking a large *** is a pioneering effort,because for the first time,the fourth order accurate solutions for the problem of viscous flow past a sphere are presented *** drag coefficient and surface pressures are calculated and compared with available experimental and theoretical *** is observed that these values simulated over coarser grids using the present scheme aremore accuratewhen compared to other conventional *** has also been observed that the flow separation initially occurred at Re=21.

关键词： fourth order compact scheme Navier-stokes equations spherical polar coordinates drag coefficient.

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

fourth order compact Boundary Value Method for Option Pricing with Jumps

引用

Advances in Applied Mathematics and Mechanics 2009年第6期1卷 845-861页

作者： Spike T.Lee Hai-Wei Sun Department of Mathematics University of MacaoMacaoChina

We consider pricing options in a jump-diffusion model which requires solving a partial integro-differential *** the spatial direction with a fourth order compact scheme leads to a linear system of ordinary differential *** the temporal direction,we utilize the favorable boundary value methods owing to their advantageous stability *** addition,the resulting large sparse system can be solved rapidly by the GMRES method with a circulant Strang-type *** results demonstrate the high order accuracy of our scheme and the efficiency of the preconditioned GMRES method.

关键词： Partial integro-differential equation fourth order compact scheme boundary value method preconditioning Toeplitz matrix

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

Analysis of Gray Scott’s Model Numerically

引用

American Journal of Computational Mathematics 2021年第4期11卷 273-288页

作者： Ahmed Abdulrahim Ahmed Amin Daoud Suleiman Mashat Department of Mathematics Numerical Analysis King Abdulaziz University Jeddah Saudi Arabia

In this paper, a two-dimensional nonlinear coupled Gray Scott system is simulated with a finite difference scheme and a finite volume technique. Pre and post-processing lead to a new solution called GSmFoam by understanding geometry settings and mesh information. The concentration profile changes over time, as does the intensity of the contour patterns. The OpenFoam solver gives you the confidence to compare the pattern result with efficient numerical algorithms on the Gray Scott model.

关键词： fourth order compact scheme Finite Volume Method Fully Implicit scheme Alternating Direction Implicit (ADI) scheme Gray Scott Solver OpenFoam

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：