Abstract
Particle-based simulations of the Vlasov equation typically require a large number of particles, which leads to a high-dimensional system of ordinary differential equations. Solving such systems is computationally very expensive, especially when simulations for many different values of input parameters are desired. In this work, we compare several model reduction techniques and demonstrate their applicability to numerical simulations of the Vlasov equation. The necessity of symplectic model reduction algorithms is illustrated with a simple numerical experiment.
Original language | English |
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Pages (from-to) | e202200046 |
Number of pages | 13 |
Journal | Contributions to Plasma Physics |
Volume | 63 |
Issue number | 5-6 |
Early online date | 6 Oct 2022 |
DOIs | |
Publication status | Published - Jun 2023 |
Externally published | Yes |
Keywords
- data-driven model reduction
- geometric integration
- particle-in-cell method
- Vlasov equation