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.

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