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

作者：Lashckarbolok M; Jabbari E^*; Vuik K

来源：Scientia Iranica, 2014, 21(1): 1-10.

• Node enrichment
• Meshless Methods
• Carreau-Yasuda fluid
• Least squares technique

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 to the field nodes position. Here, shape functions are constructed using the Radial Point Interpolation Method (RPIM). As temporal discretization, a first-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 fluid flow model in solving lid-driven cavity flow problems with different curve fitting indices values.

• 出版日期2014-2