Hector Gomez
Associate
Professor of Applied Mathematics
University of A Coruna, Spain
Tel: +34 981 167 000 Ext: 1415
e-mail: hgomez (at) udc (dot) es
University of A Coruna, Spain
Tel: +34 981 167 000 Ext: 1415
e-mail: hgomez (at) udc (dot) es
Hector Gomez
Crystal growth in a supercooled liquid
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
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.
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.
Unstable infiltration in porous media
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, Heat and Mass Transfer, and Multiphase Flow.
Some illustrative examples of our research may be found in the pictures below. Relevant publications and citation data may be found in ResearcherID
Some illustrative examples of our research may be found in the pictures below. Relevant publications and citation data may be found in ResearcherID
Recent News
04/2013 - Hector appointed member of the
Young Academy of Europe
04/2013 - Our paper on Functional entropy variables for complex fluids accepted for publication in Journal of Computational Physics.
04/2013 - David Gonzalez-Rodriguez and Ean Hin Ooi visit the group.
04/2013 - Our paper on Localized states of the conserved Swift-Hohenberg equation accepted for publication in Physical Review E.
03/2013 - Our paper on Capillary networks in tumor angiogenesis accepted for publication in International Journal for Numerical Methods in Biomedical Engineering.
03/2013 - Vasileios Vavourakis and Rakesh Dhote visit the group.
02/2013 - Hector to receive 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)
01/2012 - Our paper on numericcal simulation of gravity-driven infiltration has been accepted for publication in Journal of Computational Physics (link to paper)
04/2013 - Our paper on Functional entropy variables for complex fluids accepted for publication in Journal of Computational Physics.
04/2013 - David Gonzalez-Rodriguez and Ean Hin Ooi visit the group.
04/2013 - Our paper on Localized states of the conserved Swift-Hohenberg equation accepted for publication in Physical Review E.
03/2013 - Our paper on Capillary networks in tumor angiogenesis accepted for publication in International Journal for Numerical Methods in Biomedical Engineering.
03/2013 - Vasileios Vavourakis and Rakesh Dhote visit the group.
02/2013 - Hector to receive 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)
01/2012 - Our paper on numericcal simulation of gravity-driven infiltration has been accepted for publication in Journal of Computational Physics (link to paper)
12/2012 - Francisco Guillén, Professor
of Diferential Equations and Numerical Analysis at
University of Sevilla, visits the group.
11/2012 - Hector Gomez, K. van der Zee,
T.J.R. Hughes and J.T. Oden will organize a Minisymposium on
"Phase-field Modeling and Simulation" at the U.S. National Congress on
Computational Mechanics. The deadline to submit an
abstract is February, 15.
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 will be Invited Speaker at The First NEMB Venice Workshop on Cancer Nanotechnology
05/2012 - Fermin Navarrina and Hector
Gomez will organize a Minisymposium on Isogeometric Analysis
at Congreso de Metodos Numericos en Ingenieria, 25-28 June,
2013 in Bilbao. The deadline to submit an abstract is
October, 15th, 2012.
04/2012 - Our paper on numerical simulation of the Swift-Hohenberg equation has been accepted for publication in Communications in Nonlinear Science and Numerical Simulation (link to paper).
04/2012 - Our paper on numerical simulation of the Swift-Hohenberg equation has been accepted for publication in Communications in Nonlinear Science and Numerical Simulation (link to paper).
02/2012 - Our paper on numerical simulation of the phase-field crystal equation has been accepted for publication in Computer Methods in Applied Mechanics and Engineering (link to paper)
12/2011 - Our paper "Isogeometric Analysis of the Cahn-Hilliard phase-field model" has become one of the most cited articles in Computer Methods in Applied Mechanics and Enginneering since 2007.
Crack propagation in a ductile material
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
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.
