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Suspension modeling using smoothed particle hydrodynamics: Accuracy of the viscosity formulation and the suspended body dynamics

: Polfer, P.; Kraft, T.; Bierwisch, C.


Applied mathematical modelling 40 (2016), No.4, pp.2606-2618
ISSN: 0307-904X
Deutsche Forschungsgemeinschaft DFG
KR 1729/9-2
Journal Article
Fraunhofer IWM ()
smoothed particle hydrodynamics; suspension; rheology; viscosity; Jeffery orbit; numerical simulation

In this paper an approach for the numerical modeling of particulate suspensions is illustrated, its implementation described and its application investigated. The numerical fluid model is based on the smoothed particle hydrodynamics (SPH) method. The suspended solids are modeled as clusters of SPH particles using a rigid body motion solver. Two different SPH formulations for the viscous stress are applied and their characteristics are compared. The influence of numerical and physical parameters on the viscosity of the system is analyzed. The rotational motion of suspended solids under shear as well as the dependency of the viscosity on the solid volume fraction is investigated and compared to analytical models. Guidelines for SPH suspension simulations are derived aiming at the minimization of numerical errors.