# The Eulerian variational formulation of the gyrokinetic system in general spatial coordinates

@inproceedings{Sugama2020TheEV, title={The Eulerian variational formulation of the gyrokinetic system in general spatial coordinates}, author={Hideo Sugama and Seikichi Matsuoka and Masanori Nunami and Shinsuke Satake}, year={2020} }

The Eulerian variational formulation of the gyrokinetic system with electrostatic turbulence is presented in general spatial coordinates by extending our previous work [H. Sugama, {\it et al}., Phys.\ Plasmas {\bf 25}, 102506 (2018)]. The invariance of the Lagrangian of the system under an arbitrary spatial coordinate transformation is used to derive the local momentum balance equation satisfied by the gyrocenter distribution functions and the turbulent potential which are given as solutions of…

## 3 Citations

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## References

SHOWING 1-10 OF 51 REFERENCES

### Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems

- Physics
- 1999

This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises.

### Energy and momentum conservation in the Euler–Poincaré formulation of local Vlasov–Maxwell-type systems

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2020

The action principle by Low (1958 Proc. R. Soc. Lond. A 248 282–7) for the classic Vlasov–Maxwell system contains a mix of Eulerian and Lagrangian variables. This renders the Noether analysis of…

### Impact of centrifugal drifts on ion turbulent transport

- Physics
- 2018

The influence of sonic toroidal rotation on gyrokinetic stability and transport is studied, with important implications for heavy impurity dynamics. When centrifugal drifts and electrostatic trapping…

### Modern gyrokinetic formulation of collisional and turbulent transport in toroidally rotating plasmas

- Physics
- 2017

Collisional and turbulent transport processes in toroidal plasmas with large toroidal flows on the order of the ion thermal velocity are formulated based on the modern gyrokinetic theory. Governing…

### Toroidal angular momentum balance during rotation changes induced by electron heating modulation in tokamak plasmas

- Physics
- 2017

An electron heating modulation numerical experiment based on a global full-f gyrokinetic model shows that transitions from ion temperature gradient driven (ITG) turbulence to trapped electron mode…

### Conservation laws for collisional and turbulent transport processes in toroidal plasmas with large mean flows

- Physics
- 2017

A novel gyrokinetic formulation is presented by including collisional effects into the Lagrangian variational principle to yield the governing equations for background and turbulent electromagnetic…

### Kinetic simulations of turbulent fusion plasmas

- Physics
- 2006

In this paper, advances in kinetic simulations of turbulent fusion plasmas are reviewed by focusing on physical and numerical models used in five dimensional (5D) gyrokinetic simulations. Theoretical…

### Monte Carlo particle-in-cell methods for the simulation of the Vlasov–Maxwell gyrokinetic equations

- MathematicsJournal of Plasma Physics
- 2015

The particle-in-cell (PIC) algorithm is the most popular method for the discretisation of the general 6D Vlasov–Maxwell problem and it is widely used also for the simulation of the 5D gyrokinetic…

### Velocity-space structures of distribution function in toroidal ion temperature gradient turbulence

- Physics
- 2006

Velocity–space structures of ion distribution function associated with the ion temperature gradient (ITG) turbulence and the collisionless damping of the zonal flow are investigated by means of a…