26- https://doi.org/10.1103/physreve.61.813
Proper orthogonal decomposition and galerkin projection for a three-dimensional plasma dynamical system
- Jan 1, 2000
- Physical Review E
- P Beyer +2 more
A general method by which to investigate nonlinear dynamical systems close to a stability threshold is presented. This method combines a proper orthogonal decomposition and a subsequent Galerkin projection. This technique is applied to three-dimensional resistive ballooning plasma fluctuations in a tokamak. The corresponding dynamical system belongs to a large family of convective fluid systems including Rayleigh-Benard convection. A proper orthogonal decomposition of the fluctuating signal obtained by numerical simulation shows that the relevant modes are close to the linear (global) modes. The Galerkin projection provides a low-dimensional system that allows the study of shear flow generation, its subsequent fluctuation reduction, and the evolution to oscillating states.
- # Galerkin Projection
- # Proper Orthogonal Decomposition
- # Three-dimensional Plasma
- # Relevant Modes
- # Linear Global Modes
- # Low-dimensional System
- # Dynamical System
- # Three-dimensional Dynamical System
- # Subsequent Projection
- # General Method
