@Article{cmes.2012.083.311,
AUTHOR = {D.  Ngo-Cong, N.  Mai-Duy, W.  Karunasena, T.  Tran-Cong},
TITLE = {Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {83},
YEAR = {2012},
NUMBER = {3},
PAGES = {311--352},
URL = {http://www.techscience.com/CMES/v83n3/25793},
ISSN = {1526-1506},
ABSTRACT = {In this study, local moving least square - one dimensional integrated radial basis function network (LMLS-1D-IRBFN) method is presented and demonstrated with the solution of time-dependent problems such as Burgers' equation, unsteady flow past a square cylinder in a horizontal channel and unsteady flow past a circular cylinder. The present method makes use of the partition of unity concept to combine the moving least square (MLS) and one-dimensional integrated radial basis function network (1D-IRBFN) techniques in a new approach. This approach offers the same order of accuracy as its global counterpart, the 1D-IRBFN method, while the system matrix is more sparse than that of the 1D-IRBFN, which helps reduce the computational cost significantly. For fluid flow problems, the diffusion terms are discretised by using LMLS-1D-IRBFN method, while the convection terms are explicitly calculated by using 1D-IRBFN method. The present numerical procedure is combined with a domain decomposition technique to handle large-scale problems. The numerical results obtained are in good agreement with other published results in the literature.},
DOI = {10.3970/cmes.2012.083.311}
}