IFIP TC7 System Modeling and Optimization

Parallel-in-Time Bathymetry Reconstruction

Aug 12, 2024, 5:00 PM

30m

Seminarraum 206 (Von-Melle-Park 8)

Minisymposium Contribution MS 05: Parallel-in-time methods for PDE-constrained optimization MS 05: Parallel-in-time methods for PDE-constrained optimization

Speaker

Judith Angel

Description

For the prediction and study of water flows in a river or channel the knowledge of the bottom topography - the bathymetry - is required. Direct measurements of bathymetries are possible, but can be very expensive and time consuming. This motivates the development of methods to reconstruct a bathymetry numerically. In this talk, an approach will be shown that uses measurements of the water surface for the reconstruction. By defining an optimisation problem that is constrained by the one-dimensional shallow water equations it is possible to obtain an approximation on the real bathymetry. In this context, we investigate the use of Parallel-in-time methods in order to accelerate the computations.