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Author: Giovanni Lapenta
Requested Type: Pre-Selected Invited
Submitted: 2019-02-08 16:02:58
Co-authors: J. Park
Contact Info:
KULeuven
Celestijnelaan 200B
Leuven, 3001
Belgium
Abstract Text:
Recently, a new approach to exactly energy conserving particle in cell has been proposed [1]. The method has three main features: 1) a new mover is proposed that allows to conserve energy exactly at the level of each particle, 2) a mass matrix formulation is used to express the current in terms of the electric field, 3) the fields formulated with the mass matrix can be solved with a linear iteration giving the overall method energy conservation for both fields and particle without requiring a non-linear iteration: for this reason the method is called Energy Conserving semi-implicit (ECsim).
The main feature of the method is exact energy conservation that besides its intrinsic value in terms of physical accuracy also leads to increased stability. The ECSim method has been implemented into a production code available in both cartesian [2] and cylindrical geometry [3].
The present abstract focuses on the applicability and on recent new developments of this new method for application to different areas of plasma physics [4] and in particular fusion energy research [5].
[1] Lapenta, G. (2017). Exactly energy conserving semi-implicit particle in cell formulation. JCP, 334, 349.
[2]Gonzalez-Herrero, D., Boella, E., & Lapenta, G. (2018). Performance analysis and implementation details of the Energy Conserving Semi-Implicit Method code (ECsim). CPC, 229, 162.
[3]Gonzalez-Herrero, D., Micera, A., Boella, E., Park, J., & Lapenta, G. (2018). ECsim-CYL: Energy Conserving Semi-Implicit particle in cell simulation in axially symmetric cylindrical coordinates. CPC, 236, 153.
[4] Lapenta, G., Gonzalez-Herrero, D., & Boella, E. (2017). Multiple-scale kinetic simulations with the energy conserving semi-implicit particle in cell method. JPP, 83(2).
[5] Park, J., Lapenta, G., Gonzalez-Herrero, D., & Krall, N. (2019). Discovery of an Electron Gyroradius Scale Current Layer Its Relevance to Magnetic Fusion Energy, Earth Magnetosphere and Sunspots. arXiv:1901.08041.
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