Simulating Couette Flow Using the Meshless Local Petrov-Galerkin Method

Abstract:

The paper deals with use of the meshless method for incompressible fluid flow analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) – local weak formulation of the Navier-Stokes equations. The shape function construction is the crucial part of the meshless numerical analysis in the construction of shape functions. The article presents the radial point interpolation method (RPIM) for the shape functions construction.

• Periodical: Applied Mechanics and Materials (Volume 617)
• Pages: 203-208
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.617.203
• Online since: August 2014
• Authors: Juraj Mužík*
• Keywords: Meshless Analysis, Meshless Petrov-Galerkin Method, Navier-Stokes Equation

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