A node enrichment strategy in collocated discrete leastsquares meshless method for the solution of generalized Newtonian fluid flow

A 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 dened to distribute collocation points according to the eld nodes position. Here, shape functions are constructed using the Radial Point Interpolation Method (RPIM). As temporal discretization, a rst-order accurate scheme, named the semi-incremental fractional step method, is used. One of the advantages of this scheme is its capability of using large time step sizes for the solution of governing equations on steady state problems. The capability of the presented strategy is shown by investigating the Carreau-Yasuda uid ow model in solving lid-driven cavity ow problems with dierent curve tting indices values.