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Improved MPS Gradient Models for Elasticity Problems
In this study, two novel gradient models are introduced using the well-known mesh-less Moving Particle Semi-implicit (MPS) method to achieve higher precision in stress prediction in the planar elasticity problems. These models are formulated based on Taylor series expansion by coupling two new gradient models which are suggested for simulation of free surface flows with variable-size particles (Chen in Int J Numer Meth Fluids 80:358-374, 2016) and elimination of the numerical wave dissipation obtained from the classic MPS method (Wang in Int J Numer Meth Fluids 85:69-89, 2017). The numerical solution results for two test problems and comparing with the exact solution show the effectiveness of the introduced models in achieving accuracy in calculation of stresses compared with some existing gradient models which produce simulations with severe fluctuations. In addition, the effect of estimating the node volumes based on Voronoi diagram concept on discretization accuracy of the governing differential equations is examined. From the implemented accuracy analysis, the superiority of the Voronoi-based MPS method over the standard approach is verified in terms of the calculated displacements in the considered test problems.
Improved MPS Gradient Models for Elasticity Problems
In this study, two novel gradient models are introduced using the well-known mesh-less Moving Particle Semi-implicit (MPS) method to achieve higher precision in stress prediction in the planar elasticity problems. These models are formulated based on Taylor series expansion by coupling two new gradient models which are suggested for simulation of free surface flows with variable-size particles (Chen in Int J Numer Meth Fluids 80:358-374, 2016) and elimination of the numerical wave dissipation obtained from the classic MPS method (Wang in Int J Numer Meth Fluids 85:69-89, 2017). The numerical solution results for two test problems and comparing with the exact solution show the effectiveness of the introduced models in achieving accuracy in calculation of stresses compared with some existing gradient models which produce simulations with severe fluctuations. In addition, the effect of estimating the node volumes based on Voronoi diagram concept on discretization accuracy of the governing differential equations is examined. From the implemented accuracy analysis, the superiority of the Voronoi-based MPS method over the standard approach is verified in terms of the calculated displacements in the considered test problems.
Improved MPS Gradient Models for Elasticity Problems
Iran J Sci Technol Trans Civ Eng
Shobeyri, Gholamreza (Autor:in)
01.06.2023
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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