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

24 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

Fingerprint

Driven Cavity Flow
Moving Least Squares
Reproducing Kernel
Meshless Method
Kernel Methods
Incompressible Navier-Stokes Equations
Mathematical Analysis
Stokes
Convergence Analysis
Navier Stokes equations
Test Problems
Error Estimates
Navier-Stokes Equations
Exact Solution
Numerical Solution
Numerical Examples

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Choe, Hi Jun ; Kim, Do Wan ; Kim, Hyea Hyun ; Kim, Yongsik. / Meshless method for the stationary incompressible Navier-Stokes equations. In: Discrete and Continuous Dynamical Systems - Series B. 2001 ; Vol. 1, No. 4. pp. 495-525.
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Meshless method for the stationary incompressible Navier-Stokes equations. / Choe, Hi Jun; Kim, Do Wan; Kim, Hyea Hyun; Kim, Yongsik.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 1, No. 4, 01.12.2001, p. 495-525.

Research output: Contribution to journalArticle

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