Brief description by means of keywords of the main research topics.

Numerical techniques for the 1D shallow water equations

  • Finite difference schemes: explícit and implícit methods.
  • Conservative finite volume methods: centered and upwind schemes.
  • Steady and unsteady flows.
  • Flow junctions


High resolution schemes in 1D

  • TVD property, flux limiter theory.
  • Semilagrangian methods.
  • Influence of the interpolation.


Numerical techniques for the 2D shallow water equations

  •  Finite volumes.
  • Application to steady and unsteady transcritical flows.
  • Influence of the source terms in the properties of the solution.
  • Influence of the wet/dry boundaries.
  • Use of structured and unstructured grids.
  • Multidimensional upwinding techniques.

High resolution schemes in 2D

  • Extension of 1D techniques to 2D by means of operator splitting techniques on quadrilateral grids
  • 2D and higher order schemes on unstructured grids
  • High order conservative polynomial representation for convection problems.

Grid adaptation

  • Sensitivity of finite volume schemes to the grid: Contour shape.
  • Dynamic adaptive grids in steady 2D problems on unstructured grids using explict schemes.
  • Dynamic adaptive grids in unsteady 2D problems on unstructured grids using explicit schemes.
  • Implict flow resolution coupled to mesh node movement.

Numerical simulation of advection-diffusion transport

  • Passive solute transport coupled to 1D steady and unsteady flow.
  • Passive solute transport coupled to 2D steady and unsteady flow.
  • Reactive solute transport of several solutes coupled to 2D steady and unsteady flow.

Numerical simulation of erodible bed flows

  • Bed load transport models
  • Waves generated by bed slides
  • Suspended load transport models
  • Debris flow models.

Application of simulation models to irrigation flow

  • Inundation systems. Furrow irrigation and fertigation.
  • Infiltration models.
  • Regulation and authomatic control in irrigation canals.

Application of simulation models to river flow

  • Flooding and inundation waves on irregular topography.
  • External boundary conditions.
  • Internal boundary conditions: bridges and gates.
  • Friction models.

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Application of simulation models to environmental flows 

  • Water temperature field simulation in complex flows.
  • Nutrient transport simulation in complex flows.
  • Erosive capacity of environmental flows.

Application of simulation models to Hyfrology

  • Analysis of simplified models for overland flow
  • Richards equation simulation in subsurface domains with variable saturation
  • Dynamic coupling of surface and subsurface models



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