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 Dec 1 |
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All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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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 journal › Article
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 - 2001/12/1
Y1 - 2001/12/1
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 -