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Improved boundary treatment for the smoothed particle hydrodynamics method using implicit surfaces
Author(s) -
Bui Thanh T.,
Nakata Susumu
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6314
Subject(s) - smoothed particle hydrodynamics , boundary (topology) , curvature , mathematics , boundary value problem , singular boundary method , boundary conditions in cfd , particle (ecology) , mathematical analysis , robin boundary condition , geometry , free boundary problem , mechanics , physics , boundary element method , finite element method , geology , oceanography , thermodynamics
The boundary treatment for modeling complex geometries in smoothed particle hydrodynamics (SPH) methods is always challenging, especially for objects with sharp corners. In this paper, we propose an improved boundary treatment technique to handle boundary conditions in the SPH method where objects are represented as implicit surfaces. The improved boundary treatment technique provides a full treatment for complicated geometries and can handle sharp edges without any special treatment. The boundary particles are uniformly distributed in compliance with the curvature of the objects, therefore taking into consideration the effect of the boundary. Several simulations are presented to validate and demonstrate the applicability and versatility of the proposed technique.