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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