We survey the field of micro-macro numerical techniques for predicting complex flows of
viscoelastic fluids. The micro-macro approach couples the mesoscopic scale of kinetic …

▪ Abstract Recent advances in the computational modeling of molecular conformational and
orientational effects in the flow of viscoelastic fluids are described. These advances involve …

In this paper, a comprehensive description of a finite-volume method for the simulation of
time-dependent viscoelastic flows is given. It is applied to simulate the flow of a particular …

ABSTRACT A survey is presented of the field of computational rheology applied to the
analysis of viscoelastic effects in complex flows of polymeric fluids. First, I outline the …

Liquid crystalline polymers LCPs are large molecules that generally contain long rigid or
semirigid segments. Because of these rigid units, they can display phase transitions …

In this paper two test cases adequate for the assessment of viscoelastic flow codes under
unsteady flow conditions are investigated. For one of them an analytical solution is also …

We present a general introduction to the multiscale modelling and simulation of complex
fluids. The perspective is mathematical. The level is elementary. For illustration purposes …

In this article, we analyze the stability of various numerical schemes for differential models of
viscoelastic fluids. More precisely, we consider the prototypical Oldroyd-B model, for which a …

The dynamics of dilute solutions of finitely extensible nonlinear elastic (FENE) bead-spring
dumbbell and chain models in start-up and relaxation of uniaxial elongational and shear …

This review summarized the multiscale simulation (MSS) methods for polymeric liquids.
Since polymeric liquids have multiscale characteristics of monomeric, mesoscopic, and …