Associate Professor of Applied Mathematics
University of A Coruna, Spain
Tel: +34 981 167 000 Ext: 1415
e-mail: hgomez (at) udc (dot) es

Hector Gomez

Hector Gomez

Crystal growth in a supercooled liquid


Phase field
            crystal

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.

Separation of two immiscible liquids


Cahn-Hilliard

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.

Unstable infiltration in porous media

Unstable gravity-driven infiltration into a porous
              medium

Infiltration of water in dry porous media is subject to a powerful gravity-driven instability, leading to the phenomenon of gravity fingering. Water infiltrates the soil through preferential flow paths rather than as a compact wetting front.

Our Research Statement


We develop new modeling and computer-based simulation techniques to address a number of problems in engineering, physics and life sciences. Particular research interests include Computational Mechanics, Complex Fluids, Phase-field Methods, Biomechanics, Tumor-growth modeling, and Multiphase Flow.

Some illustrative examples of our research may be found in the pictures below. Relevant publications and citation data may be found at Google Scholar or ResearcherID

Recent News


09/2014 - Hector Gomez selected as one of the Innovators under 35 by MIT Technology Review (Spain Section). (Press releases: ABC, El Mundo, La Voz de Galicia, Instituto de la Ingeniería de España, La Opinión)

07/2014 - Hector Gomez delivers a Semi-Plenary Lecture at the World Congress on Computational Mechanics

01/2014 - Guillermo Vilanova gets an award in the Poster Competition of the IGA2014 Conference !

06/2013 - Tom Hughes visits the group and receives an Honorary Doctorate from University of A Coruña !!!

06/2013 - Hector will be Keynote Speaker at the 12th U.S. National Congress on Computational Mechanics

02/2013 - Hector Gomez receives the 2012 Juan C. Simo Award to the best young researcher in the field of Computational Mechanics.  The award is given every year by the Spanish Society of Numerical Methods in Engineering (SEMNI). (Press releases: ABC, La Voz de Galicia, El Correo Gallego, El Ideal Gallego, La Opinion, Diario de Ferrol, Faro de Vigo, Instituto de la Ingeniería de España, La Opinión (Interview), Universidade de A Coruña)

08/2012 - Hector is awarded an ERC Starting Grant to undertake the project MuSIC- Modeling and SImulation of Cancer growth; Budget: 1,405.420 Eur. (Press releases: ABC, ABC Agencias, La Vanguardia, La Voz de Galicia, terra NOTICIAS, El Correo Gallego, La Opinion, El Ideal Gallego, Axencia Galega de Noticas)

07/2012 - Hector Gomez delivers an Invited Lecture at The First NEMB Venice Workshop on Cancer Nanotechnology

Crack propagation in a ductile material

Crack
            propgation

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.











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