Development of High-Order Finite Volume Schemes
In recent years modern and powerful numerical techniques have been developed in the context of finite volume and discontinuous Galerkin methods. We are interested in further extend these methods and apply them to real scale geophysical problems, as for example tsunami wave propagation.
The main characteristic of these methods is the high-order accuracy in space and time when propagating wave signals. Moreover, the use of unstructured meshes allow us to discretize complex geometries and to adapt the mesh spacing depending on the particular needs.
We are developing a well-balanced ADER finite volume type numerical method to solve the non-linear shallow water equation in order to propagate tsunami waves over long distances considering non-constant realistic bathymetry.
Current work considers extending the method to solve inundation scenarios.
Responsible group members: