TY - JOUR
T1 - Meshless Local Petrov-Galerkin (MLPG) method for convection-diffusion problems
AU - Lin, H.
AU - Atluri, S. N.
PY - 2000
Y1 - 2000
N2 - Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion problems, in one and two dimensions. Even for very high Peclet number flows, the MLPG method, with upwinding, gives very good results. It shows that the MLPG method is very promising to solve the convection-dominated flow problems, and fluid mechanics problems.
AB - Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion problems, in one and two dimensions. Even for very high Peclet number flows, the MLPG method, with upwinding, gives very good results. It shows that the MLPG method is very promising to solve the convection-dominated flow problems, and fluid mechanics problems.
KW - Convection-dominated flow
KW - MLPG
KW - MLS
KW - Upwinding
UR - http://www.scopus.com/inward/record.url?scp=0005843312&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0005843312
SN - 1526-1492
VL - 1
SP - 45
EP - 60
JO - CMES - Computer Modeling in Engineering and Sciences
JF - CMES - Computer Modeling in Engineering and Sciences
IS - 2
ER -