Author(s): Pablo Solan-Fustero; Adrian Navas-Montilla; Pilar Garia-Navarro; Jose-Luis Gracia Lozano

Linked Author(s): Pablo Solán-Fustero

Keywords: Shallow water; Reduced-order modelling; POD methods; Snapshots method; Computational resources

Abstract: Reduced-order modelling (ROM) is a widely used technique for performing numerical simulations using less computational resources. It can be applied to environmental problems like free surface flows, which usually involve high computational costs due to the large spatial and temporal scales of the events. In this work, an intrusive ROM (IROM) strategy based on the Proper Orthogonal Decomposition (POD) is applied to the 1D Shallow Water equations. The POD method provides an orthogonal basis for representing a given set of data and constructing the IROM by means of the method of snapshots. The main goal of this work is to develop a simulation model able to cope with realistic applications. The computational improvement and the accuracy of the IROM results with respect to those of the full-order model are examined.

DOI: https://doi.org/10.3850/IAHR-39WC252171192022297

Year: 2022