  Soft particles at fluid interfaces play an important role in many aspects of
our daily life, such as the food industry, paints and coatings, and medical
applications. Analytical methods are not capable of describing the emergent
effects of the complex dynamics of suspensions of many soft particles, whereas
experiments typically either only capture bulk properties or require invasive
methods. Computational methods are therefore a great tool to complement
experimental work. However, an efficient and versatile numerical method is
needed to model dense suspensions of many soft particles. In this article we
propose a method to simulate soft particles in a multi-component fluid, both at
and near fluid-fluid interfaces, based on the lattice Boltzmann method, and
characterize the error stemming from the fluid-structure coupling for the
particle equilibrium shape when adsorbed onto a fluid-fluid interface.
Furthermore, we characterize the influence of the preferential contact angle of
the particle surface and the particle softness on the vertical displacement of
the center of mass relative to the fluid interface. Finally, we demonstrate the
capability of our model by simulating a soft capsule adsorbing onto a
fluid-fluid interface with a shear flow parallel to the interface, and the
covering of a droplet suspended in another fluid by soft particles with
different wettability.
