Modelling free surface flows with smoothed particle hydrodynamics

• Published in: Condensed Matter Physics
• Date: 2006
• Main Authors: Sigalotti, L.Di G., Daza, J., Donoso, A.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/121317
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modelling free surface flows with smoothed particle hydrodynamics / L.Di G. Sigalotti, J. Daza, A. Donoso // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 359–366. — Бібліогр.: 28 назв. — англ.

In this paper the method of Smoothed Particle Hydrodynamics (SPH) is extended to include an adaptive
 density kernel estimation (ADKE) procedure. It is shown that for a van der Waals (vdW) fluid, this method can
 be used to deal with free-surface phenomena without difficulties. In particular, arbitrary moving boundaries can
 be easily handled because surface tension is effectively simulated by the cohesive pressure forces. Moreover,
 the ADKE method is seen to increase both the accuracy and stability of SPH since it allows the width of
 the kernel interpolant to vary locally in a way that only the minimum necessary smoothing is applied at and
 near free surfaces and sharp fluid-fluid interfaces. The method is robust and easy to implement. Examples
 of its resolving power are given for both the formation of a circular liquid drop under surface tension and the
 nonlinear oscillation of excited drops.