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

Authors

1 School of Civil Engineering; Iran University of Science and Technology,Tehran, School of Civil Engineering; Iran University of Science and Technology, Tehran, Iran

2 School of Civil Engineering; Iran University of Science and Technology; Iran

3 Delft Institute of Applied Mathematics; Netherlands, 2628 CD Delft, Mekelweg 4, room HB

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.

Keywords

Scientia Iranica
Volume 21, Issue 1
Transactions on Civil Engineering (A)
January and February 2014
Pages 1-10

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History

  • Receive Date: 05 August 2013
  • Revise Date: 21 December 2024
  • Accept Date: 09 July 2017

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