## Section: Application Domains

Keywords : fluid mechanics, unsteady flows, multiphase flows, unstructured meshes.

### Fluid mechanics

The numerical simulation of unsteady flows is still a challenge since efficient schemes and efficient implementations are needed. This challenge is even higher if large size problems are to be tackled, and if the meshes are not regular.

Among the problems to be considered, one may list the computation of mixing layers, shockâ€“vortices interactions, the noise generated by a flow. This last item clearly needs very high order schemes, and the today best schemes use regular structured meshes. Hence, one of our objectives is to construct very high order schemes for unstructured meshes.

Another example where large computer resources are needed is the simulation of multiphase flows. In that case, several difficulties must be faced: unsteady flows, complex geometries and a very complex physical model.