Section: Application Domains

Free surface hydrodynamics

Prediction of free surface flow hydrodynamics can be of extreme importance in many applications such as , e.g. protection of coastal environments, design of coastal structures, etc. We have developed simulation tools for the prediction of both hydrostatic and non-hydrostatic free surface flows, including also wave breaking effects. We have also started work on the improvement of the asymptotic modeling of the dispersive wave behavior which controls strongly the heights and position of the waves. These models are discretized by appropriate generalizations of the residual based techniques we propose.

In addition to the basic modeling activity, we have started to study the output dependence on the variability of input data depending on the model (such as for example, for the friction coefficient), and on environmental conditions (topography, incoming wave description etc). These quantities often involve a certain degree of uncertainty. By coupling a robust shallow-water solver based on a residual distribution scheme with some stochastic methods to show the large variability of important physical outputs (e.g. wave runup, flooded area, etc) due to input uncertainties.