Sataprahm, C., Luadsong, A. (2014). The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow. test, 22(3), 501-510.
C. Sataprahm; A. Luadsong. "The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow". test, 22, 3, 2014, 501-510.
Sataprahm, C., Luadsong, A. (2014). 'The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow', test, 22(3), pp. 501-510.
Sataprahm, C., Luadsong, A. The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow. test, 2014; 22(3): 501-510.

The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Pages 501-510    PDF (818.44 K)
Authors
C. Sataprahm1; A. Luadsong2
1Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand
2b 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.
Keywords
MLS; MLPG; Improved Gaussian’s weight; Unsteady incompressible fluid flow
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