The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow |
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Institution: | 1. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand;2. Centre of Excellence in Mathematics, CHE, Si Ayutthaya, Bangkok 10400, Thailand |
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Abstract: | This article presents a numerical algorithm using the Meshless Local Petrov-Galerkin (MLPG) method for the incompressible Navier–Stokes equations. To deal with time derivatives, the forward time differences are employed yielding the Poisson’s equation. The MLPG method with the moving least-square (MLS) approximation for trial function is chosen to solve the Poisson’s equation. In numerical examples, the local symmetric weak form (LSWF) and the local unsymmetric weak form (LUSWF) with a classical Gaussian weight and an improved Gaussian weight on both regular and irregular nodes are demonstrated. It is found that LSWF1 with a classical Gaussian weight order 2 gives the most accurate result. |
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Keywords: | MLS MLPG Improved Gaussian’s weight Unsteady incompressible fluid flow |
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