A new operator splitting algorithm for elastoviscoplastic flow problems

Ibrahim Cheddadi (1) , Pierre Saramito (2)

1 BANG - Nonlinear Analysis for Biology and Geophysical flows
2 EDP - Equations aux Dérivées Partielles

This paper presents an efficient time-dependent decoupled approach for the numerical resolution of the highly nonlinear set of coupled partial differential equations appearing in elastoviscoplastic fluid flow problems. The two main nonlinear difficulties, the viscoplasticity and the viscoelasticity, are then solved separately. Numerical simulations suggest an optimal convergence rate with respect to the space discretization. Finally, numerical results compare well with experimental measurements on liquid foams in a complex geometry. Future works will explore flows of liquid foams for tridimensional geometries where experimental data are available and also compare to flows of others soft glassy materials such as carbopol solutions.

Mots clés: liquid foams and emulsions; elastoviscoplasticity; yield stress; nonlinear viscoelasticity; numerical simulation

Domaines: Physique mathématique [math-ph]; Analyse numérique [math.NA]

Ibrahim Cheddadi, Pierre Saramito. A new operator splitting algorithm for elastoviscoplastic flow problems. Journal of Non-Newtonian Fluid Mechanics, 2013, 202, pp.13-21. ⟨10.1016/j.jnnfm.2013.09.004⟩. ⟨hal-00809802v3⟩