A class of fully third-order accurate projection methods for solving the incompressible Navier-Stokes equations

Yuxin Ren; Yuxi Jiang; Miaoer Liu; Hanxin Zhang

首页> 中文期刊> 《力学学报：英文版》 >A class of fully third-order accurate projection methods for solving the incompressible Navier-Stokes equations

A class of fully third-order accurate projection methods for solving the incompressible Navier-Stokes equations

开具论文收录证明 >>

期刊封面封底目录下载 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

In this paper, a fully third-order accurate projection method for solving the incompressible Navier-Stokes equations is proposed. To construct the scheme, a continuous projection procedure is firstly presented. We then derive a sufficient condition for the continuous projection equations to be temporally third-order accurate approximations of the original Navier-Stokes equations by means of the localtruncation-error-analysis technique. The continuous projection equations are discretized temporally and spatially to third-order accuracy on the staggered grids, resulting in a fully third-order discrete projection scheme. The possibility to design higher-order projection methods is thus demonstrated in the present paper. A heuristic stability analysis is performed on this projection method showing the probability of its being stable. The stability of the present scheme is further verified through numerical tests. The third-order accuracy of the present projection method is validated by several numerical test cases.

著录项

来源
《力学学报：英文版》 |2005年第006期|542-549|共8页
作者
Yuxin Ren; Yuxi Jiang; Miaoer Liu; Hanxin Zhang;
展开▼
作者单位

Department of Engineering Mechanics,Tsinghua University,Beijing 100084, China;

Department of Engineering Mechanics,Tsinghua University,Beijing 100084, China;

CNOOC Research Center, Beijing, China;

National Key Laboratory for CFD, Beijing, China;

展开▼
原文格式 PDF
正文语种 chi
中图分类力学;
关键词
Incompressible Navier-Stokes equations; Projection methods; Third-order scheme; Local truncation error;

机译：不可压缩的Navier-Stokes方程;投影方法;三阶格式;局部截断误差;

A class of fully third-order accurate projection methods for solving the incompressible Navier-Stokes equations

摘要

著录项

相关主题

期刊订阅