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==Abstract==
  
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The application of smoothed particle hydrodynamics (SPH) encounters challenges related to consistency, stability, and accuracy. Inconsistencies in SPH arise from non-uniform particle distribution and a lack of neighboring particles at the boundary, leading to numerical instability and inaccurate particle approximations. Various methods have been proposed to address these issues. One such framework is the corrected SPH, designed to ensure consistency of the method. In this work, performance of some correction procedures are analysed through gradient calculations of a function. The root mean square error of the gradient approximation is analysed to justify the method’s convergence and accuracy
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== Full Paper ==
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<pdf>Media:Draft_Sanchez Pinedo_762444212pap_2064.pdf</pdf>

Latest revision as of 10:36, 23 October 2024

Abstract

The application of smoothed particle hydrodynamics (SPH) encounters challenges related to consistency, stability, and accuracy. Inconsistencies in SPH arise from non-uniform particle distribution and a lack of neighboring particles at the boundary, leading to numerical instability and inaccurate particle approximations. Various methods have been proposed to address these issues. One such framework is the corrected SPH, designed to ensure consistency of the method. In this work, performance of some correction procedures are analysed through gradient calculations of a function. The root mean square error of the gradient approximation is analysed to justify the method’s convergence and accuracy

Full Paper

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Document information

Published on 23/10/24
Submitted on 23/10/24

Volume Advances and Applications in Meshfree, Particle, and Peridynamic Methods, 2024
DOI: 10.23967/eccomas.2024.019
Licence: CC BY-NC-SA license

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