An improvement in MPS method using Voronoi diagram and a new kernel function

An improvement in MPS method using Voronoi diagram and a new kernel function In this study, accuracy of the mesh-less moving particles semi-implicit (MPS) method in solving 2-D elliptic partial differential equations over a unit square domain with known analytical solutions is improved using Voronoi diagram drawing technique to approximate nodal volumes and a new kernel function. Voronoi diagram is employed as an alternative method for estimation of nodal volumes instead of kernel approximations. In addition to this, a kernel function with flat shape is introduced to enhance accuracy of MPS method. The numerical results obtained over highly irregular computational node distributions for the proposed kernel function show higher accuracy in comparison with two other employed kernel functions having steeper shapes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Brazilian Society of Mechanical Sciences and Engineering Springer Journals

An improvement in MPS method using Voronoi diagram and a new kernel function

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Publisher
Springer Journals
Copyright
Copyright © 2018 by The Brazilian Society of Mechanical Sciences and Engineering
Subject
Engineering; Mechanical Engineering
ISSN
1678-5878
eISSN
1806-3691
D.O.I.
10.1007/s40430-018-1121-9
Publisher site
See Article on Publisher Site

Abstract

In this study, accuracy of the mesh-less moving particles semi-implicit (MPS) method in solving 2-D elliptic partial differential equations over a unit square domain with known analytical solutions is improved using Voronoi diagram drawing technique to approximate nodal volumes and a new kernel function. Voronoi diagram is employed as an alternative method for estimation of nodal volumes instead of kernel approximations. In addition to this, a kernel function with flat shape is introduced to enhance accuracy of MPS method. The numerical results obtained over highly irregular computational node distributions for the proposed kernel function show higher accuracy in comparison with two other employed kernel functions having steeper shapes.

Journal

Journal of the Brazilian Society of Mechanical Sciences and EngineeringSpringer Journals

Published: Mar 14, 2018

References

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