Meshfree method for the non-stationary incompressible navier-stokes equations

Hi Jun Choe; Do Wan Kim; Yongsik Kim

Meshfree method for the non-stationary incompressible navier-stokes equations

Hi Jun Choe, Do Wan Kim, Yongsik Kim

Department of Mathematics

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

10 Citations (Scopus)

Abstract

We consider the solvability and the error estimates of numerical solutions of the non-stationary incompressible Stokes and Navier-Stokes equations by the meshfree method. The moving least square reproducing kernel method or the MLSRK method is employed for the space approximations. The existence of numerical solutions and the L²-type error estimates are obtained. As a numerical example, we compare the numerical solutions of the Stokes and the Navier-Stokes equations with the exact solutions. Also we solve the non-stationary Navier-Stokes driven cavity flow using the MLSRK method.

Original language	English
Pages (from-to)	17-39
Number of pages	23
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	6
Issue number	1
Publication status	Published - 2006 Jan

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

@article{8228b63737574160ae90113b4e6ac160,

title = "Meshfree method for the non-stationary incompressible navier-stokes equations",

abstract = "We consider the solvability and the error estimates of numerical solutions of the non-stationary incompressible Stokes and Navier-Stokes equations by the meshfree method. The moving least square reproducing kernel method or the MLSRK method is employed for the space approximations. The existence of numerical solutions and the L2-type error estimates are obtained. As a numerical example, we compare the numerical solutions of the Stokes and the Navier-Stokes equations with the exact solutions. Also we solve the non-stationary Navier-Stokes driven cavity flow using the MLSRK method.",

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

year = "2006",

month = jan,

language = "English",

volume = "6",

pages = "17--39",

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

issn = "1531-3492",

publisher = "Southwest Missouri State University",

number = "1",

}

TY - JOUR

T1 - Meshfree method for the non-stationary incompressible navier-stokes equations

AU - Choe, Hi Jun

AU - Kim, Do Wan

AU - Kim, Yongsik

PY - 2006/1

Y1 - 2006/1

N2 - We consider the solvability and the error estimates of numerical solutions of the non-stationary incompressible Stokes and Navier-Stokes equations by the meshfree method. The moving least square reproducing kernel method or the MLSRK method is employed for the space approximations. The existence of numerical solutions and the L2-type error estimates are obtained. As a numerical example, we compare the numerical solutions of the Stokes and the Navier-Stokes equations with the exact solutions. Also we solve the non-stationary Navier-Stokes driven cavity flow using the MLSRK method.

AB - We consider the solvability and the error estimates of numerical solutions of the non-stationary incompressible Stokes and Navier-Stokes equations by the meshfree method. The moving least square reproducing kernel method or the MLSRK method is employed for the space approximations. The existence of numerical solutions and the L2-type error estimates are obtained. As a numerical example, we compare the numerical solutions of the Stokes and the Navier-Stokes equations with the exact solutions. Also we solve the non-stationary Navier-Stokes driven cavity flow using the MLSRK method.

UR - http://www.scopus.com/inward/record.url?scp=33644505844&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644505844&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33644505844

SN - 1531-3492

VL - 6

SP - 17

EP - 39

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 1

ER -

Meshfree method for the non-stationary incompressible navier-stokes equations

Abstract

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this