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Bathymetry reconstruction in shallow water using PDE-constrained optimisation and its acceleration through parallel-in-time methods
Citation Link: https://doi.org/10.15480/882.16012
Publikationstyp
Doctoral Thesis
Date Issued
2025
Sprache
English
Author(s)
Advisor
Referee
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2025-10-13
Institute
TORE-DOI
Citation
Technische Universität Hamburg (2025)
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 numerical methods to reconstruct a bathymetry indirectly. In this thesis, bathymetries will be inferred from measurements of the water surface height. 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.
Subjects
bathymetry reconstruction
shallow water equations
PDE-constrained optimisation
parallel-in-time methods
DDC Class
551: Geology, Hydrology Meteorology
515.3: Differential calculus and equations
004: Computer Sciences
Funding Organisations
More Funding Information
We acknowledge the support by the Deutsche Forschungsgemeinschaft (DFG) within the Research Training Group GRK 2583 “Modeling, Simulation and Optimization of Fluid Dynamic Applications”.
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Angel_Judith_Dissertation.pdf
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