Improving Accuracy of SPH Method Using Voronoi Diagram

In this paper, the mesh-less SPH formulation is modified based on Voronoi diagram to approximate region influence of computational nodal points to achieve higher accuracy. The accuracy of the proposed method is examined for a 2-D elliptical partial differential equation with known analytical solutio...

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Bibliographic Details
Published in:Iranian journal of science and technology. Transactions of civil engineering 2017-09, Vol.41 (3), p.345-350
Main Authors: Shobeyri, Gholamreza, Ardakani, Reza Rasti
Format: Article
Language:English
Subjects:
Accuracy
Approximation
Civil Engineering
Computer applications
Engineering
Fluid mechanics
Fluid-structure interaction
Metal forming
Methods
Numerical analysis
Partial differential equations
Research Paper
Simulation
Voronoi graphs
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Summary:In this paper, the mesh-less SPH formulation is modified based on Voronoi diagram to approximate region influence of computational nodal points to achieve higher accuracy. The accuracy of the proposed method is examined for a 2-D elliptical partial differential equation with known analytical solution using both regular and irregular node distributions. In addition, a comparison between the accuracy is accomplished for conventional SPH and the proposed method. The numerical results indicate the accuracy of the proposed method over SPH method especially for irregular node distributions.
ISSN:2228-6160
2364-1843
DOI:10.1007/s40996-017-0069-9