Complex fluids exist in nature and are continually engineered for specific applications
involving the addition of macromolecules to a solvent, among other means. This imparts …

The objective of this article is to summarise the work that we have been doing as a group in
the context of stabilised finite element formulations for viscoelastic fluid flows. Viscoelastic …

Water and air behave in a similar way and their flow can be described in a very accurate
way by the Navier–Stokes equations. Others fluids behave differently: they cannot be …

We review progress and open challenges for a number of problems related to the Oldroyd B
model which are of current interest to the mathematical community. We discuss existence …

In this work, the rise of Taylor bubbles in a vertical tube filled with viscoelastic media is
investigated by means of volume-of-fluid-based direct numerical simulations. The …

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 …

The flow of polymer solutions past solid obstacles or through porous media gives rise to rich
physical phenomena over a wide range of spatial and temporal scales. Viscoelasticity, in …

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 …

A new streamfunction/log-conformation formulation of incompressible viscoelastic flows is
presented. The log-conformation representation guaranties the positive-definiteness of the …

Gas-liquid capillary flow finds widespread applications in reaction engineering, owing to its
ability to facilitate precise control and efficient mixing. Incorporating compact and regular …