Hydrodynamics in a high-rate production reactor for microalgae cultivation affects the light
history perceived by cells. The interplay between cell movement and medium turbidity leads …

In some configurations, dispersion effects must be taken into account to improve the
simulation of complex fluid flows. A family of free-surface dispersive models has been …

By a semi-Lagrangian change of coordinates, the hydrostatic Euler equations describing
free-surface sheared flows is rewritten as a system of quasilinear equations, where stability …

We propose a numerical method for a family of two-dimensional dispersive shallow water
systems with topography. The considered models consist in shallow water approximations …

Abstract The Alboran Basin may be subject to tsunami hazards. If such an event were to
occur, it is expected that the urbanised and densely populated areas of northern Moroccan …

In this thesis we study implicit time discretizations for the Saint-Venant system. First we
consider the issue of the low Froude regime in the two dimensional case. The ability to …

We are interested in free surface flows where density variations coming eg from temperature
or salinity differences play a significant role in the hydrody-namic regime. In water, acoustic …

We present several time-dependent analytical solutions for the incompressible Euler system
with a free surface. These analytical solutions give quantitative descriptions of some …

Microalgae can produce biomass using light as an energy source through photosynthesis.
Algal biomass has great potential for the production of food, feed, pharmaceuticals and …

This thesis is dedicated to the study of some partial differential equations describing free-
surface flows in fluid mechanics and it consists of three interrelated projects. The first project …