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

28 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

Fingerprint Dive into the research topics of 'Meshless method for the stationary incompressible Navier-Stokes equations'. Together they form a unique fingerprint.

Cite this

@article{8277765ed3944cd09b9fd3a009fb016f,

title = "Meshless method for the stationary incompressible Navier-Stokes equations",

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.",

author = "Choe, {Hi Jun} and Kim, {Do Wan} and Kim, {Hyea Hyun} and Yongsik Kim",

year = "2001",

language = "English",

volume = "1",

pages = "495--525",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "Southwest Missouri State University",

number = "4",

}

TY - JOUR

T1 - Meshless method for the stationary incompressible Navier-Stokes equations

AU - Choe, Hi Jun

AU - Kim, Do Wan

AU - Kim, Hyea Hyun

AU - Kim, Yongsik

PY - 2001

Y1 - 2001

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.

UR - http://www.scopus.com/inward/record.url?scp=0012457042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012457042&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0012457042

VL - 1

SP - 495

EP - 525

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

SN - 1531-3492

IS - 4

ER -