1
Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
2
b Centre of Excellence in Mathematics, CHE, Si Ayutthaya, Bangkok 10400, Thailand
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.
Sataprahm, C., & Luadsong, A. (2014). The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow. Journal of the Egyptian Mathematical Society, 22(3), 501-510.
MLA
C. Sataprahm; A. Luadsong. "The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow", Journal of the Egyptian Mathematical Society, 22, 3, 2014, 501-510.
HARVARD
Sataprahm, C., Luadsong, A. (2014). 'The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow', Journal of the Egyptian Mathematical Society, 22(3), pp. 501-510.
VANCOUVER
Sataprahm, C., Luadsong, A. The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow. Journal of the Egyptian Mathematical Society, 2014; 22(3): 501-510.
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