| A viscoelastic numerical scheme based on Smoothed Particle Dynamics is presented. The concept goes a step beyond Smoothed Particle Hydrodynamics (SPH) which is a grid free Lagrangian method describing the flow by fluid-pseudo particles. The relevant properties are interpolated directly on the resulting movable grid. In this work the effect of viscoelasticity is incorporated into the ordinary conservation laws by a differential constitutive equation supply for the stress tensor. In order to give confidence in the methodology we explicitly consider the non-stationary simple corotational Maxwell model in a channel geometry. Without further developments the scheme is applicable to `realistic' models relevant for three-dimensional viscoelastic (viscoplastic, etc.) flows in complex geometries.
for LaTeX users @article{MEllero2002-105,
author = {M. Ellero and M. Kr\"oger and S. Hess},
title = {Viscoelastic flows studied by Smoothed Particle Dynamics},
journal = {J. Non-Newtonian Fluid Mech.},
volume = {105},
pages = {35-51},
year = {2002}
}
\bibitem{MEllero2002-105} M. Ellero, M. Kr\"oger, S. Hess,
Viscoelastic flows studied by Smoothed Particle Dynamics,
J. Non-Newtonian Fluid Mech. {\bf 105} (2002) 35-51.MEllero2002-105
M. Ellero, M. Kr\"oger, S. Hess
Viscoelastic flows studied by Smoothed Particle Dynamics
J. Non-Newtonian Fluid Mech.,105,2002,35-51 |
mk@mat.ethz.ch
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