A fast solver for the gyrokinetic field equation with adiabatic electrons |
| |
Authors: | M Borchardt R Kleiber W Hackbusch |
| |
Institution: | 1. Max-Planck-Institut für Plasmaphysik, EURATOM Association, 17491 Greifswald, Germany;2. Max-Planck-Institut für Mathematik in den Naturwissenschaften, 04103 Leipzig, Germany |
| |
Abstract: | Describing turbulence and microinstabilities in fusion devices is often modelled with the gyrokinetic equation. During the time evolution of the distribution function a field equation for the electrostatic potential needs to be solved. In the case of adiabatic electrons it contains a flux-surface-average term resulting in an integro-differential equation. Its numerical solution is time and memory intensive for three-dimensional configurations. Here a new algorithm is presented which only requires the numerical inversion of a simpler differential operator and a subsequent addition of a correction term. This new procedure is as fast as solving the equation without the surface average. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |