University of A Coruna
Campus de Elvina, s/n
A Coruna, Spain
Tel: +34 981 167 000 Ext: 1415
e-mail: hgomez at udc dot es

Separation of two immiscible liquids

Cahn-Hilliar

Two premixed phobic liquids tend to separate when they are quenched, leading to complex patterns. The Cahn-Hilliard equation is a classical continuum theory describing this phenomenon. This picture shows a snapshot of a numerical simulation of the Cahn-Hilliard equation using Isogeometric Analysis, and an adaptive time-stepping technique that permitted computing, apparently for the first time, stationary states in three dimensions. The numerical simulation of phase separation may have relevance, for example, in the development of biodiesel.

Crystal growth in a supercooled liquid

Crystal growth

Crystals surrounded by undercooled liquid tend to grow leading to fascinating patterns, such as, for example dendrites. This picture shows the atomic structure of two crystallites growing in a supercooled liquid. The image has been obtain using large-scale numerical simulation of the Phase Field Crystal equation. We developed a new time integration scheme that preserves the fundamental features of the continuum theory.


Crack propagation in a ductile material

Crack
            propagation

Material properties at the macroscale are to a large extent controlled by complex microstructures exhibiting topological defects, such as, for example, vacancies, grain boundaries and dislocations. These defects are the result of complicated non-equilibrium dynamics that takes place on atomic length scales. This picture shows the microstrucure evolution on atomic length scales of a ductile material that undergoes fracture. The simulation has been performed approximating the Phase Field Crystal equation using a new time-stepping algorithm that inherits at the discrete level the fundamental physical features of the theory.

Water/water-vapor two phase flow

Navier-Stokes-Korteweg

Water/water-vapor two-phase flows are of great importance and appear, for example, in cavitation and implosion. This piecture show a simulation of two water-vapor bubbles right after having merged. We have employed large-scale numerical simulations of the Navier-Stokes-Korteweg equations.