Abstract
Based on a micro–macro approach, the smoothed particle hydrodynamics (SPH) method is developed to simulate 2D transient viscoelastic fluid flows, in which the polymer dynamics is described by the evolution of a number of continuous Brownian configuration fields. This approach combines a macroscopic description of the kinematics with a coarse-grained microscopic description of the evolution of the extra-stress, and accordingly a closed-form constitutive equation is not necessary any longer. In order to validate our approach, both Poiseuille flow and Couette flow using Hookean dumbbell model are first studied. Results for the velocity, the shear stress and the first normal stress difference are in good agreement with the reference data from the literature. The simulations are also extended to the finitely extendable non-linear elastic (FENE) dumbbell model. In particular, the influence of dimensionless finite extensibility parameter b on the evolutions of the velocity and the polymer stress tensor is analyzed in detail. Results for the lid driven cavity flow of FENE dumbbell model are also shown. All numerical results demonstrate that the SPH method is a powerful and flexible tool for meshfree simulations of 2D transient viscoelastic fluid flows using Brownian configuration fields.
Published Version
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