Abstract
Plasma and neutral transport in the plasma edge region of magnetic confinement fusion devices is often simulated by iteratively coupling a finite volume (FV) code for the plasma with a Monte Carlo (MC) code for the neutral particles. Because of the statistical MC noise, the iterative scheme defines a Markov process for the plasma states. We derived relations between the iterative scheme and the statistical distribution of the plasma states. In this paper, we study in detail, for random noise coupling and in a generalized scalar setting, the relation between the artificial time step used in the iterative scheme and the variance of the plasma states. We show numerically that our new insights, gained from the scalar setting, still hold when simulating a simplified 1D plasma edge model.
| Original language | English |
|---|---|
| Pages (from-to) | 659-665 |
| Number of pages | 7 |
| Journal | Contributions to Plasma Physics |
| Volume | 58 |
| Issue number | 6-8 |
| DOIs | |
| State | Published - Jul 1 2018 |
| Externally published | Yes |
Funding
Information This research was supported by the KU Leuven, OT/13/066. H2020 Euratom, 633053. Flanders Innovation and Entrepreneurship, IWT.141064.This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014–2018 under grant agreement No. 633053. The views and opinions expressed herein do not necessarily reflect those of the European Commission. This research was partially funded by KU Leuven under research grant OT/13/066. Also, this work was sponsored by the Flanders Innovation and Entrepreneurship (IWT.141064). Matthias Baeten performed the analysis and the computations under the supervision of Giovanni Samaey and Martine Baelmans. Kristel Ghoos assisted with the simulations for the 1D plasma edge model. None reported. The authors declare no potential conflicts of interests. This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014–2018 under grant agreement No. 633053. The views and opinions expressed herein do not necessarily reflect those of the European Commission. This research was partially funded by KU Leuven under research grant OT/13/066. Also, this work was sponsored by the Flanders Innovation and Entrepreneurship (IWT.141064). 1Department of Computer Science, KU Leuven, Leuven, Belgium 2Department of Mechanical Engineering, KU Leuven, Leuven, Belgium *Correspondence M. Baeten, Department of Computer Science, KU Leuven, Celestijnenlaan 200A, 3001 Leuven, Belgium. Email: [email protected] Funding Information This research was supported by the KU Leuven, OT/13/066. H2020 Euratom, 633053. Flanders Innovation and Entrepreneurship, IWT.141064.
Keywords
- Markov process
- plasma edge simulation
- pseudo-transient continuation
- statistical error analysis