A node enrichment strategy in Collocated Discrete Least Squares meshless method for the solution of generalized Newtonian fluids flow

Abstract

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 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.