Hamburg 2001 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 42: Neuronale Netze / Statistische Physik fernab vom thermischen Gleichgewicht
DY 42.7: Vortrag
Donnerstag, 29. März 2001, 12:15–12:30, S 6
Viscoelastic flow studied by Smoothed Particle Hydrodynamics — •Marco Ellero1, Martin Kröger1,2, and Siegfried Hess1 — 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin — 2Polymerphysik, Institute of Polymers, ETH Zürch, CH-8092 Zürich
A three-dimensional viscoelastic code based on the Smoothed Particle
Hydrodynamics
is presented. SPH is a grid free Lagrangian based method in which the flow
is represented
by fluid-pseudo
particles and the relevant flow properties are interpolated on the
resulting movable grid [1].
Particle methods are robust and enjoy automatic grid adaptivity, consistent
treatment of
boundary free surfaces, as in the case of materials simulations [2], for
which a priori specifications are not required.
In this work we present preliminary SPH calculations of viscoelastic flows
with constitutive
time equation
for the stress tensor based on the well known Maxwell model. This should
permit to simulate complex
non-Newtonian flows characterized by elastic behaviour under small
deformations and by a dissipative
relaxation which exhibit decay of the stress tensor components in typical
times as observed
experimentally. Particular attention is also paid to the problem of
boundary conditions for which the
approach of image particles is considered [3].
[1] J. J. Monaghan, Annu. Rev. Astron. Astrophys. 30, 543
(1992)
[2] L. D. Libersky and A. G. Petschek, Lecture Note in Physics 395, 248 (1990)
[3] H. Takeda, S. M. Miyama and M. Sekiya, Prog. Theor. Phys. 92, 939
(1994)