Bachelor Thesis BCLR-2023-23

BibliographyHirche, Manuel: Application and extension of a super resolution physics-informed convolutional neural network to groundwater modelling.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Bachelor Thesis No. 23 (2023).
44 pages, english.
Abstract

The computational effort of a simulation can be reduced by running simulations on a coarse grid and interpolating to a fine one. This interpolation can be done using data-driven neural networks, called super-resolution. To minimize the need to perform expensive simulations to create the datasets required for training, physics-informed neural networks (PINNs) add a physical error term to the learning process. In this work, we extend and apply a super-resolution PINN approach to a groundwater simulation with heat pumps. We extend an existing network model for flow velocity and pressure to include temperature and permeability of the soil and derive a corresponding error term. The model is trained on a data set from a simulation with different pressures and permeabilities. The results are compared with a data-driven network and bicubic interpolation. We find that both neural networks significantly outperform bicubic interpolation, whereas the PINN approach achieves slightly better results than the data-driven network.

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Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Simulation of Large Systems
Superviser(s)Schulte, Prof. Miriam; Pelzer, Julia
Entry dateSeptember 15, 2023
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