• Complex
  • Title
  • Author
  • Keyword
  • Abstract
  • Scholars
Search

Author:

Li, Jian (Li, Jian.) | Chen, Zhangxin (Chen, Zhangxin.)

Indexed by:

SCIE Scopus

Abstract:

A stabilized finite volume method for solving the transient Navier-Stokes equations is developed and studied in this paper. This method maintains conservation property associated with the Navier-Stokes equations. An error analysis based on the variational formulation of the corresponding finite volume method is first introduced to obtain optimal error estimates for velocity and pressure. This error analysis shows that the present stabilized finite volume method provides an approximate solution with the same convergence rate as that provided by the stabilized linear finite element method for the Navier-Stokes equations under the same regularity assumption on the exact solution and a slightly additional regularity on the source term. The stability and convergence results of the proposed method are also demonstrated by the numerical experiments presented.

Keyword:

inf-sup condition Local pressure projection Navier-Stokes equations Optimal error estimate Stabilized finite volume method

Author Community:

  • [ 1 ] [Li, Jian] Baoji Univ Arts & Sci, Dept Math, Baoji 721013, Peoples R China
  • [ 2 ] [Li, Jian; Chen, Zhangxin] Univ Calgary, Dept Chem & Petr Engn, Schulich Sch Engn, Calgary, AB T2N 1N4, Canada
  • [ 3 ] [Chen, Zhangxin] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China

Reprint Author's Address:

  • Baoji Univ Arts & Sci, Dept Math, Baoji 721013, Peoples R China.

Show more details

Related Keywords:

Source :

ADVANCES IN COMPUTATIONAL MATHEMATICS

ISSN: 1019-7168

Year: 2013

Issue: 2

Volume: 38

Page: 281-320

1 . 5 6 2

JCR@2013

1 . 9 1 0

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:73

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 14

SCOPUS Cited Count: 22

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

FAQ| About| Online/Total:1464/168873094
Address:XI'AN JIAOTONG UNIVERSITY LIBRARY(No.28, Xianning West Road, Xi'an, Shaanxi Post Code:710049) Contact Us:029-82667865
Copyright:XI'AN JIAOTONG UNIVERSITY LIBRARY Technical Support:Beijing Aegean Software Co., Ltd.