Accurate mathematical and numerical simulations of water waves propagation and non-linear waves transformation is of fundamental importance to marine and coastal engineering. Taking dispersive effects in to account is of critical importance if we want to study the nearshore wave propagation and transformation. Dispersion of water waves refers to frequency dispersion which means that waves of different wavelengths travel at different wave speeds. Within the team, we work on improving existing mathematical weakly dispersive mathematical models and we also deduce numerical schemes for those models. We are also considering numerical simulations of water waves on complex geometries using unstructured meshes.
- Shallow water type approximated models and related issues
- Framework for numerical schemes on dispersive and non-dispersive free surface flows
- Wave breaking closures (under construction)
