Meshless method for the stationary incompressible Navier-Stokes equations

Hi Jun Choe, Do Wan Kim, Hyea Hyun Kim, Yongsik Kim

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

Mathematical analysis is achieved on a mcshless method for the stationary incompressible Stokes and Navier-Stokes equations. In particular, the Moving Least Square Reproducing Kernel(MLSRK) method is employed. The existence of discrete solution and its error estimate are obtained. As a numerical example for convergence analysis, we compute the numerical solutions for these equations to compare with exact solutions. Also we solve the driven cavity flow numerically as a test problem.

Original languageEnglish
Pages (from-to)495-525
Number of pages31
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume1
Issue number4
Publication statusPublished - 2001 Dec 1

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All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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