The lid-driven cavity is an important fluid mechanical system serving as a benchmark for
testing numerical methods and for studying fundamental aspects of incompressible flows in …

We present a second-order finite-difference scheme for viscoelastic flows based on a recent
reformulation of the constitutive laws as equations for the matrix logarithm of the …

The present work is concerned with the benchmark problem of flow in a lid-driven square
cavity. The geometry offers a typically simple two-dimensional flow, for which accurate …

The non-Newtonian effects in the flow of non-Newtonian fluids that can be modelled with
generalised Newtonian constitutive equations are investigated using a numerical scheme …

The addition of a minute amount of solid polymers into a Newtonian solvent like water can
originate an elastic instability as the Weissenberg number (ratio of the elastic forces to that of …

The lid-driven cavity flow is a well-known benchmark problem for the validation of new
numerical methods and techniques. In experimental and numerical studies with viscoelastic …

In this work we implement the log-conformation reformulation for viscoelastic constitutive
equations as proposed by Fattal and Kupferman (2004) in the open-source CFD-software …

In this work we compare different stabilisation approaches currently used in the simulation of
viscoelastic fluid flow. These approaches are: the both-sides diffusion, the positive …

Numerical simulations for incompressible flow in two-sided and four-sided lid driven cavities
are reported in the present study. For the two-sided driven cavity, the upper wall is moved to …

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 …