We propose numerical simulations of viscoelastic fluids based on a hybrid algorithm combining Lattice–Boltzmann models (LBM) and Finite Differences (FD) schemes, the former used to model the macroscopic hydrodynamic equations, and the latter used to model the polymer dynamics. The kinetics of the polymers is introduced using constitutive equations for viscoelastic fluids with finitely extensible non-linear elastic dumbbells with Peterlin's closure (FENE-P). The numerical model is first benchmarked by characterizing the rheological behavior of dilute homogeneous solutions in various configurations, including steady shear, elongational flows, transient shear and oscillatory flows. As an upgrade of complexity, we study the model in presence of non-ideal multicomponent interfaces, where immiscibility is introduced in the LBM description using the “Shan–Chen” interaction model. The problem of a confined viscoelastic (Newtonian) droplet in a Newtonian (viscoelastic) matrix under simple shear is investigated and numerical results are compared with the predictions of various theoretical models. The proposed numerical simulations explore problems where the capabilities of LBM were never quantified before.

Gupta, A., Sbragaglia, M., Scagliarini, A. (2015). Hybrid lattice boltzmann/finite difference simulations of viscoelastic multicomponent flows in confined geometries. JOURNAL OF COMPUTATIONAL PHYSICS, 291, 177-197 [10.1016/j.jcp.2015.03.006].

Hybrid lattice boltzmann/finite difference simulations of viscoelastic multicomponent flows in confined geometries

SBRAGAGLIA, MAURO;SCAGLIARINI, ANDREA
2015-01-01

Abstract

We propose numerical simulations of viscoelastic fluids based on a hybrid algorithm combining Lattice–Boltzmann models (LBM) and Finite Differences (FD) schemes, the former used to model the macroscopic hydrodynamic equations, and the latter used to model the polymer dynamics. The kinetics of the polymers is introduced using constitutive equations for viscoelastic fluids with finitely extensible non-linear elastic dumbbells with Peterlin's closure (FENE-P). The numerical model is first benchmarked by characterizing the rheological behavior of dilute homogeneous solutions in various configurations, including steady shear, elongational flows, transient shear and oscillatory flows. As an upgrade of complexity, we study the model in presence of non-ideal multicomponent interfaces, where immiscibility is introduced in the LBM description using the “Shan–Chen” interaction model. The problem of a confined viscoelastic (Newtonian) droplet in a Newtonian (viscoelastic) matrix under simple shear is investigated and numerical results are compared with the predictions of various theoretical models. The proposed numerical simulations explore problems where the capabilities of LBM were never quantified before.
2015
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
Gupta, A., Sbragaglia, M., Scagliarini, A. (2015). Hybrid lattice boltzmann/finite difference simulations of viscoelastic multicomponent flows in confined geometries. JOURNAL OF COMPUTATIONAL PHYSICS, 291, 177-197 [10.1016/j.jcp.2015.03.006].
Gupta, A; Sbragaglia, M; Scagliarini, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/117293
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