Associate Professor

Tomás Morales de Luna

Department of Mathematical Analysis, Statistics and O.R., and Applied Mathematics · University of Málaga

My research deals with the numerical simulation of geophysical flows: shallow water type models, sediment transport and non-conservative hyperbolic systems, solved with finite volume methods. I am a member of the EDANYA research group.

Office hours

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First term

Monday
10:30 – 13:30
Wednesday
10:30 – 13:30

Research interests

  • Simulation of geophysical flows
  • Shallow water models and sediment transport
  • Multilayer shallow water models
  • Non-conservative hyperbolic systems
  • Finite volume methods
  • Entropy satisfying schemes

Research group

I am a member of EDANYA, with wide experience in the numerical analysis of systems of partial differential equations and, in particular, in hyperbolic systems and finite volume methods. Its research focuses on the simulation of geophysical fluids: shallow water models, sediment transport, avalanches, tsunamis, oceanographic applications and hazard assessment.

EDANYA (FQM-216)

Publications

54 publications · since 2008

See publications
  1. 2026

    How to make fully discrete entropy stability of three-point well-balanced finite-volume schemes

    C. Berthon, M. C. Díaz, L. Martaud, T. Morales de Luna

    Journal of Numerical Mathematics

  2. 2026

    Advances in Nonlinear Hyperbolic Partial Differential Equations: Numerical Analysis and Applications

    T. Morales de Luna, S. Boscarino, P. Frolkovič, L. O. Müller, C. Escalante (eds.)

    ICIAM2023 Springer Series

  3. 2025

    Semi-implicit fully exactly well-balanced schemes for the two-layer shallow water system

    C. Caballero-Cárdenas, M. J. Castro, C. Chalons, T. Morales de Luna, M. L. Muñoz-Ruiz

    Applied Numerical Mathematics

  4. 2025

    High-order well-balanced schemes for shallow models for dry avalanches

    M. J. Castro Díaz, C. Escalante, J. Garres-Díaz, T. Morales de Luna

    Applied Numerical Mathematics