Meshless method for the stationary incompressible Navier-Stokes equations

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

Meshless method for the stationary incompressible Navier-Stokes equations

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

29 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 language	English
Pages (from-to)	495-525
Number of pages	31
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	1
Issue number	4
Publication status	Published - 2001

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

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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.",

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N2 - 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.

AB - 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.

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Meshless method for the stationary incompressible Navier-Stokes equations

Abstract

All Science Journal Classification (ASJC) codes

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