University of Twente Student Theses
Model Reduction of Transport Phenomena with Kernel Principal Component Analysis
Leering, Erik (2022) Model Reduction of Transport Phenomena with Kernel Principal Component Analysis.
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| 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 |
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