University of Twente Student Theses
As of Friday, 8 August 2025, the current Student Theses repository is no longer available for thesis uploads. A new Student Theses repository will be available starting Friday, 15 August 2025.
Model Reduction of Transport Phenomena with Kernel Principal Component Analysis
Leering, Erik (2022) Model Reduction of Transport Phenomena with Kernel Principal Component Analysis.
|
PDF
4MB |
| Abstract: | Plasma, to be understood as ionized gas, is part of many physical instruments and plays a major role in nuclear fusion [3]. Accurate simulations involving plasmas are computationally expensive. To perform analysis on the behaviour of plasma under varying parameters, Model Order Reduction (MOR) is desired. In this research, I aim to perform MOR with the use of kernel Principal Component Analysis (kPCA). To this end, I explain the workings behind kPCA and Proper Symplectic Decomposition (PSD), which is a necessary tool in the conservation of the symplectic structure generally found in plasma. Lastly, I apply a kPCA-derived Reduced Order Model (kPCA-ROM) on plasma with a linear Hamiltonian and a non-linear Hamiltonian and compare the results with a PSD-ROM. |
| Item Type: | Essay (Bachelor) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics, 33 physics |
| Programme: | Applied Mathematics BSc (56965) |
| Link to this item: | https://purl.utwente.nl/essays/92093 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
Show download statistics for this publication
Show download statistics for this publicationRepository Staff Only: item control page