Jul 27 – 31, 2020
Virtual event
Europe/Berlin timezone

Reduced order modelling for data assimilation in parametrized optimal control framework

Jul 29, 2020, 7:30 PM
1h
Poster Posters 2

Speaker

Maria Strazzullo (SISSA, mathLab)

Description

Modelling data assimilation allows to fill the gap between numerical simulations and experimental data. Optimal control problems governed by parametrized partial differential equations is suited for this kind of application, where you want to track problem solutions towards known quantities, given by data collections or previous knowledge. Still, the computational effort increases when one has to deal with nonlinear and/or time-dependent governing equations.
Reduced order methods are an effective approach to solve data assimilation problems in a reliable and faster way. We apply the POD-Galerkin methodology in environmental marine sciences where different parameters describe several physical configurations.
We present two numerical experiments: a boundary control for riverbed current represented by time-dependent Stokes equations, and a nonlinear time-dependent tracking problem for velocity-height solutions of shallow water equations.

Primary author

Maria Strazzullo (SISSA, mathLab)

Co-authors

Francesco Ballarin (SISSA, mathLab) Gianluigi Rozza (SISSA, mathLab)

Presentation materials