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A Mesh Free Method for Simulations of Incompressible Fluid Flow

M. Chatterjee, A.K. Mahendra, A.Sanyal, G. Gouthaman

Computer Modeling in Engineering & Sciences 2012, 83(4), 385-402. https://doi.org/10.3970/cmes.2012.083.385

Abstract

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.

Keywords

Mesh free, Incompressible flow, Artificial Compressibility, SLKNS.

Cite This Article

Chatterjee,, M. (2012). A Mesh Free Method for Simulations of Incompressible Fluid Flow. CMES-Computer Modeling in Engineering & Sciences, 83(4), 385–402.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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