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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
