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Semi‐analytical treatment of spherical solids in smoothed‐particle hydrodynamics fluid simulations
Author(s) -
Kostorz Wawrzyniec,
EsmailYakas Anton
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6597
Subject(s) - smoothed particle hydrodynamics , normalization (sociology) , polynomial , particle (ecology) , kernel (algebra) , mechanics , physics , mathematics , mathematical analysis , classical mechanics , oceanography , combinatorics , sociology , anthropology , geology
A method for modeling mobile spherical solids in Smoothed Particle Hydrodynamics simulations utilizing the semi‐analytical boundary formulation is given. The technique relies on evaluating individual contributions from ideally spherical bodies to the normalization factor γ and its gradient. A derivation is provided in both two and three dimensions (3D) and a close‐form solution is given for an arbitrary polynomial kernel function in 3D. The method is validated and implemented in an Smoothed‐Particle Hydrodynamics‐Discrete Element Method code to evaluate the solid fraction and results are compared to the previous standard.