Hamburg 2001 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.8: Poster

Donnerstag, 29. März 2001, 15:45–18:15, Foyer S\ 3

Viscoelastic flow studied by Smoothed Particle Hydrodynamics — •Marco Ellero, Martin Kroeger, and Siegfried Hess — Institute for Theoretical Physics, TU Berlin, Hardenbergstr.36, PN 7-1, 10623, Berlin, Germany

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 prioriNo-dq 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)