Water Waves

In this work we consider non-hydrstatic models of water waves including the Serre-Green-Naghdi model of nonlinear dispersive shallow water waves, fully nonlinear potential flow, and full three-dimensional wave models based on free-boundary and two-phase incompressible Navier-Stokes models. These models provide the capability to resolve a range of important physical processes neglected by the Shallow Water Equations, such as dispersion and breaking.

We address the well-balanced property for free surface flows over variable bathymetry, robustness during wetting and drying, and both conforming and embedded approaches to representing surface elevations. The overall objective is to allow modelers to begin exploiting high-fidelity models for both local engineering design and for informing sub-grid parameterizations in earth system models.

Project:
Anticipating Threats to Natural Systems — funded by US Army ERDC (2023)