TY  - EJOU
AU  - Gouthaman, M. Chatterjee, A.K. Mahendra, A.Sanyal, G. 

TI  - A Mesh Free Method for Simulations of Incompressible Fluid Flow
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 83
IS  - 4
SN  - 1526-1506

AB  - In this paper, we describe an Incompressible Navier-Stokes (INS) sol -ver using mesh less least square based discretisation on arbitrary distribution of points. The method uses modified Artificial Compressibility Method (ACM) with least square based discretisation. The Solver operates on an arbitrary distribution of points and uses a novel least squares based method that replaces the normal equations approach. This method generates the non-symmetric cross-product matrix by suitable selection of sub stencils such that the matrix is diagonally dominant and well conditioned. The INS solver has been validated with results available in literature for standard test cases.
KW  - Mesh free
KW  -  Incompressible flow
KW  -  Artificial Compressibility
KW  -  SLKNS

DO  - 10.3970/cmes.2012.083.385