Energy-conserving discretization of the one-dimensional shallow water equations in material-fixed coordinates

L Mayer, J Wurm, F Woittennek - 2024 European Control …, 2024 - ieeexplore.ieee.org
A generalized approach to the spatial discretization of the one-dimensional shallow water
equations with moving boundary and an arbitrary cross-section is developed. Material-fixed …

Open‐Loop Control of Shallow Water Waves in a Tube With Moving Boundary in Material‐Fixed Coordinates

L Mayer, F Woittennek - PAMM, 2025 - Wiley Online Library
Open‐loop control design for a one‐dimensional shallow water model with moving
boundary and arbitrary cross section is considered. Despite the moving boundary, the …

Control‐oriented models of the shallow water equations using energy‐conserving discretization schemes

L Mayer, J Wurm, F Woittennek - PAMM, 2023 - Wiley Online Library
In this study, we introduce higher‐order approximation schemes for a 1D shallow‐water
model with a moving boundary and arbitrary cross‐section. The model equations are …