Section: Research Program

Introduction

The research activities carried out within the ANGE team strongly couple the development of methodological tools with applications to real–life problems and the transfer of numerical codes. Even if the present program is more problem–driven by challenging applications than methodology–driven, it is fundamental to justify mathematically results at each step.

The difficulties arising in gravity driven flow studies are threefold.

• Models and equations encountered in fluid mechanics (typically the free surface Navier-Stokes equations) are complex to analyze and solve.

• The underlying phenomena often take place over large domains with very heterogeneous length scales (size of the domain, mean depth, wave length,...) and distinct time scales, e.g. coastal erosion, propagation of a tsunami,...

• Last but not least, these problems are multi-physics with strong couplings and nonlinearities.