Sharif University of TechnologyScientia Iranica1026-309821120140201A node enrichment strategy in Collocated Discrete Least Squares meshless method for the solution of generalized Newtonian fluids flowA node enrichment strategy in Collocated Discrete Least Squares meshless method for the solution of generalized Newtonian fluids flow1101604ENMohsen LashckarbolokSchool of Civil Engineering; Iran University of Science and Technology,Tehran, School of Civil Engineering; Iran University of Science and Technology, Tehran, IranEbrahim JabbariSchool of Civil Engineering; Iran University of Science and Technology; IranKees VuikDelft Institute of Applied Mathematics; Netherlands, 2628 CD Delft, Mekelweg 4, room HBJournal Article20130805A simple node enrichment strategy using a gradient based error estimator is presented for the Collocated Discrete Least Squares (CDLS) meshless method. Also, a procedure is defined to distribute collocation points according tothefield nodes position. Here, shape functions are constructed using Radial Point Interpolation Method (RPIM). As temporal discretization a first-order accurate scheme, named semi-incremental fractional step method is used. One of the advantages of this scheme is its capability to use large time step sizes for the solution of the governing equations on steady state problems. The capability of the presented strategy is shown by investigating Carreau-Yasuda fluid flow model in solving lid-driven cavity flow problemwith different curve fitting indices values.http://scientiairanica.sharif.edu/article_1604_1d2af9225e628269c03d5b6d439ffcbf.pdf