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Normalized SPH with stress points
Author(s) -
Randles P. W.,
Libersky L. D.
Publication year - 2000
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 - 10.1002/1097-0207(20000810)48:10<1445::aid-nme831>3.0.co;2-9
Subject(s) - smoothed particle hydrodynamics , interpolation (computer graphics) , mathematics , boundary (topology) , stability (learning theory) , anisotropy , boundary value problem , set (abstract data type) , mathematical analysis , stress (linguistics) , field (mathematics) , particle (ecology) , stress field , mechanics , physics , classical mechanics , finite element method , computer science , pure mathematics , geology , motion (physics) , linguistics , philosophy , oceanography , quantum mechanics , machine learning , programming language , thermodynamics
Smoothed particle hydrodynamics is extended to a normalized, staggered particle formulation with boundary conditions. A companion set of interpolation points is introduced that carry the stress, velocity gradient, and other derived field variables. The method is stable, linearly consistent, and has an explicit treatment of boundary conditions. Also, a new method for finding neighbours is introduced which selects a minimal and robust set and is insensitive to anisotropy in the particle arrangement. Test problems show that these improvements lead to increased accuracy and stability. Published in 2000 by John Wiley & Sons, Ltd.