Fluid–fluid interfaces, laden with polymers, particles or other surface-active moieties, often
show a rheologically complex response to deformations, in particular when strong lateral …

Cell membranes are vital to shield a cell's interior from the environment. At the same time
they determine to a large extent the cell's mechanical resistance to external forces. In recent …

Parametric finite elements lead to very efficient numerical methods for surface evolution
equations. We introduce several computational techniques for curvature driven evolution …

In this paper, we present an isogeometric analysis for studying the dynamical behavior of
inextensible vesicles under an external fluid flow with inertial forces. We consider a phase …

We present a new diffuse interface model for the dynamics of inextensible vesicles in a
viscous fluid with inertial forces. A new feature of this work is the implementation of the local …

A new framework for two-fluid flows using a finite element/level set method is presented and
verified through the simulation of the rising of a bubble in a viscous fluid. This model is then …

Vesicles and many biological membranes are made of two monolayers of lipid molecules
and form closed lipid bilayers. The dynamical behavior of vesicles is very complex and a …

We develop a finite element scheme to approximate the dynamics of two and three
dimensional fluidic membranes in Navier–Stokes flow. Local inextensibility of the membrane …

We propose a numerical framework tailored for simulating the dynamics of vesicles with
inextensible membranes, which mimic red blood cells, immersed in a non‐Newtonian fluid …

In this paper, we introduce a thermodynamically-consistent phase-field model to investigate
the hydrodynamics of inextensible multicomponent vesicles in various fluid flows with inertial …