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

Journal articles

 

  29. R. Dhote. H. Gomez, R. Melnik, J. Zu,  Isogeometric analysis of a dynamic thermo-mechanical phase-field model applied to shape memory alloys, accepted for publication in Computational Mechanics, 2014.

  28. H. Gomez, A. Reali, G. Sangalli, Accurate, efficient and (iso)geometrically flexible collocation methods for phase- field models, accepted for publication in Journal of Computational Physics, 2014.

  27. G. Vilanova, I. Colominas, H. Gomez, Coupling of discrete random walks and continuous modeling for three-dimensional tumor-induced angiogenesis, accepted for publication in Computational Mechanics, 2014.

  26. B. Gonzalez, H. Gomez, I. Romero, A thermodynamically consistent method for a phase-field model of solidification, accepted for publication in Communications in Nonlinear Science and Numerical Simulation, 2014.

  25. G. Vilanova, I. Colominas, H. Gomez, Capillary networks in tumor angiogenesis: From discrete endothelial cells to averaged phase-field descriptions via isogeometric analysis, International Journal for Numerical Methods in Biomedical Engineering, 29 1015-1037, 2013. (PDF)

  24. P.K. Galenko, H. Gomez, N.V. Kropotin, K.R. Elder, Unconditionally stable and numerical solution of the hyperbolic phase-field crystal equation, Physical Review E, 88, 013310, 2013 (PDF).

  23. U. Thiele, A.J. Archer, M.J. Robbins, H. Gomez, E. Knobloch, Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity, Physical Review E, 87, 042915, 2013 (PDF)

  22. R. Dhote, H. Gomez, R. Melnik, J. Zu, Isogeometric analysis of coupled thermo-mechanical phase-field models for shape memory alloys using distributed computing, Procedia Computer Science, 18 1068-1076, 2013 (PDF)

  21. J. Liu, H. Gomez, J.A. Evans, T.J.R. Hughes, C.M. Landis, Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations, Journal of Computational Physics, 248 47-86, 2013 (PDF)

  20. H. Gomez, L. Cueto-Felgueroso, R. Juanes, Three-dimensional simulation of unstable gravity-driven infiltration of water into a porous medium, Journal of Computational Physics, 238 217-239, 2013 (PDF)


  19. R. Dhote, H. Gomez, R. Melnik, J. Zu, Phase-field dynamic modeling of shape memory alloys based on isogeometric analysis, Advances in Science and Technology, 78 63-68, 2013 (PDF)

  18. X. Nogueira, B. Taylor, H. Gomez, I. Colominas, M.R. Mackley, Experimental and computational modeling of oscillatory flow within a baffled tube containing periodic tri-orifice baffled geometries, Computers & Chemical Engineering, 49 1-17, 2012 (PDF)

 
  17. H. Gomez, X. Nogueira, An unconditionally energy-stable method for the phase-field crystal equation, Computer Methods in Applied Mechanics and Engineering, 249-252 52-61, 2012 (PDF)

  16. G. Vilanova, H. Gomez, I. Colominas, A numerical study based on the finite element method of a multiscale continuun model of tumor angiogenesis, Journal of Biomechanics 45 S466-Supplement 1, 2012.

  15. H. Gomez, X. Nogueira, A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional,  Communications in Nonlinear Science and Numerical Simulation 17 4930-4946, 2012 (PDF)

  14. H. Gomez, T.J.R. Hughes, Provably unconditionally stable, second-order time accurate, mixed variational methods for phase-field models, Journal of Computational Physics 230 5310-5327, 2011 (PDF)

  13. H. Gomez, J. Paris, Numerical simulation of asymptotic states of the damped Kuramoto-Sivashinsky equation, Physical Review E 83, 046702, 2011 (PDF)

  12. X. Nogueira, S. Khelladi, I. Colominas, L. Cueto-Felgueroso, J. Paris, H. Gomez, High-resolution finite-volume methods on unstructured grids for turbulence and aeroacoustics, Archives of Computational Methods in Engineering, 18(3), 315-340, 2011 (PDF)

  11. H. Gomez, T.J.R. Hughes, X. Nogueira, V. Calo, Isogeometric analysis of the Navier-Stokes-Korteweg equations, Computer Methods in Applied Mechancis and Engineering, 199:1828-1840, 2010 (PDF)

  10. H. Gomez, I. Colominas, F. Navarrina, J. Paris, M. Casteleiro, A hyperbolic theory for advection-diffusion problems: Mathematical foundations and numerical modeling, Archives of Computational Methods in Engineering, 17 191-211, 2010 (PDF)

  9. X.Nogueira, L. Cueto-Felgueroso, I. Colominas, H. Gomez, Implicit large eddy simulation of non-wall-bounded turbulent flows based on the multiscale properties of a high-order finite volume method, Computer Methods in Applied Mechancis and Engineering, 199:615-624, 2010 (PDF)

  8. X. Nogueira, L. Cueto-Felgueroso, I. Colominas, H. Gomez, F. Navarrina, M. Casteleiro, On the accuracy of finite volume methods and discontinuous Galerkin discretizations for compressible flow problems n unstructured meshes, International Journal for Numerical Methods in Engineering, 78:1553-1584, 2009 (PDF)

  7. H. Gomez, V. Calo, Y. Bazilevs, T.J.R. Hughes, Isogeometric Analysis of the Cahn-Hilliard phase-field model, Computer Methods in Applied Mechancis and Engineering, 197:4333-4352, 2008 (PDF)

  6. H. Gomez, I. Colominas, F. Navarrina, M. Casteleiro, A hyperbolic model for convection-diffusion transport problems in CFD: Numerical analysis and applications, Revista de la Real Academia de Ciencias: Serie A: Matematicas, 102:319-335, 2008 (PDF).

 5. H. Gomez, I. Colominas, F. Navarrina, M. Casteleiro, A mathematical model and a numerical model for hyperbolic mass transport in compressible flows, Heat and Mass Transfer, 45, 2008 (PDF)

  4. F. Navarrina, I. Colominas, M. Casteleiro, L. Cueto-Felgueroso, H. Gomez, J. Fe, A. Soage, A  numerical model for the transport of salinity in estuaries, International Journal for Numerical Methods in Fluids, 56:507-523, 2008 (PDF)

  3. H. Gomez, I. Colominas, F. Navarrina, M. Casteleiro, Un nuevo enfoque para el tratamiento de los terminos difusivos de la ecuacion de conveccion-difusion en el metodo de Galerkin discontinuo, Revista Internacional de Metodos Numericos en Ingenieria, 23:343-362, 2007 (PDF).

   2. H. Gomez, I. Colominas, F. Navarrina, M. Casteleiro, A  discontinuos Galerkin method for a hyperbolic model for convection-diffusion problems in CFD, International Journal for Numerical Methods in Engineering, 71:1342-1364, 2007 (PDF)

   1. H. Gomez, I. Colominas, F. Navarrina, M. Casteleiro, A finite element formulation for a convection-diffusion model based on Cattaneo's law, Computer Methods in Applied Mechanics and Engineering, 196:1757-1766, 2007 (PDF)


Book chapters


  3. H. Gomez, V.M. Calo, T.J.R. Hughes, Isogeometric Analysis of the Phase-field Models: Application to the Cahn-Hilliard equation, Computational Methods in Applied Sciences, Springer, 1-16, 2008.

  2. H. Gomez, I. Colominas, F. Navarrina, M. Casteleiro, A generalized method for advective-diffusive computations in engineering, Fluid Structure Interaction and Moving Boundary Problems, 315-325, WIT, 2005.

  1. F. Navarrina, I. Colominas, M. Casteleiro, L. Cueto-Felgueroso, H. Gomez, J. Fe, A. Soage, Analysis of hydrodynamic and transport phenomena in the 'Ria de Arousa': a numerical model for high environmental impact estuaries, Fluid Structure Interaction and Moving Boundary Problems, WIT, 340-352, 2005.

Peer-reviewed conference proceedings