# Angular momentum and rotational energy of mean flows in toroidal magnetic fields

@article{Wiesenberger2020AngularMA, title={Angular momentum and rotational energy of mean flows in toroidal magnetic fields}, author={Matthias Wiesenberger and Markus Held}, journal={Nuclear Fusion}, year={2020}, volume={60} }

We derive the balance equation for the Favre averaged angular momentum in toroidal not necessarily axisymmetric magnetic field equilibria. We find that the components of angular momentum are given by the covariant poloidal and toroidal components of E×B and parallel flow velocities and we separately identify all relevant stress tensors, torques and source terms for each of these components. Our results feature the Favre stress generalisations of previously found Reynolds stresses like the…

## 5 Citations

### On the interpretation of kinetic effects from ionization in fluid models and its impact on filamentary transport

- 2023

Physics

Physics of Plasmas

In regions where a plasma is not fully ionized, such as the edge and scrape-off layer (SOL) regions in a tokamak, the charged particles may be subject to strong sources from interactions with neutral…

### Long-wavelength closures for collisional and neutral interaction terms in gyro-fluid models

- 2022

Physics

Journal of Physics: Conference Series

A collisional gyro-fluid model is presented. The goal of the model is edge and scrape-off layer turbulence. The emphasize in the model derivation heavily lies on ”implementability” with today’s…

### Beyond the Oberbeck–Boussinesq and long wavelength approximation

- 2022

Physics

Nuclear Fusion

We present the first simulations of a reduced magnetized plasma model that incorporates both arbitrary wavelength polarization and non-Oberbeck–Boussinesq effects. Significant influence of these two…

### Validation of edge turbulence codes in a magnetic X-point scenario in TORPEX

- 2022

Physics of Plasmas

### Electric field and turbulence in global Braginskii simulations across the ASDEX Upgrade edge and scrape-off layer

- 2021

Physics

Turbulence simulations in diverted geometry across the edge and scrape-off layer (SOL) of ASDEX Upgrade are performed with the GRILLIX code (Stegmeir et al 2019 Phys. Plasmas 26 052517). The…

## 75 References

### Momentum balance and radial electric fields in axisymmetric and nonaxisymmetric toroidal plasmas

- 2010

Physics

We have investigated the influence of symmetry properties of toroidal magnetic configurations on the mechanisms used for determining the radial electric field such as the momentum balance and the…

### Energetic consistency and momentum conservation in the gyrokinetic description of tokamak plasmas

- 2010

Physics

Gyrokinetic field theory is addressed in the context of a general Hamiltonian. The background magnetic geometry is static and axisymmetric and all dependence of the Lagrangian on dynamical variables…

### Energetics of the interaction between electromagnetic ExB turbulence and zonal flows

- 2005

Physics

A detailed analysis of the energy transfer system between ExB turbulence and zonal flows is given. Zonal flows, driven by the ExB Reynolds stress of the turbulence, are coupled to pressure…

### Role of ion diamagnetic effects in the generation of large scale flows in toroidal ion temperature gradient mode turbulence

- 2000

Physics

The secondary instability of large scale flows, such as zonal flows and streamers, in toroidal ion temperature gradient turbulence is investigated. It is shown that diamagnetic effects (finite…

### Gyrofluid potential vorticity equation and turbulent equipartion states

- 2015

Physics, Environmental Science

An equation governing potential vorticity in a magnetized plasmas is derived. The equation is analogous to Ertel’s theorem. In the long wave-length limit the potential vorticity equals the ratio of…

### Intrinsic parallel rotation drive by electromagnetic ion temperature gradient turbulence

- 2016

Physics

The quasilinear intrinsic parallel flow drive including parallel residual stress, kinetic stress, cross Maxwell stress and parallel turbulent acceleration by electromagnetic ion temperature gradient…

### Intrinsic ambipolarity and rotation in stellarators.

- 2008

Physics

Physical review letters

It is shown that collisional plasma transport is intrinsically ambipolar only in quasiaxisymmetric or quasihelically symmetric magnetic configurations. Only in such fields can the plasma rotate…

### The energy-momentum tensor of electromagnetic fields in matter

- 2017

Physics

We present a complete resolution of the Abraham-Minkowski controversy . This is done by considering several new aspects which invalidate previous discussions. We show that: 1)For polarized matter the…

### Tokamak-edge toroidal rotation due to inhomogeneous transport and geodesic curvature

- 2012

Physics

In a model kinetic ion transport equation for the pedestal and scrape-off layer, passing-ion drift orbit excursions interact with spatially inhomogeneous but purely diffusive transport to cause the…

### Drift-ordered fluid equations for field-aligned modes in low-β collisional plasma with equilibrium pressure pedestals

- 2003

Physics

Starting from the complete short mean-free path fluid equations describing magnetized plasmas, assuming that plasma pressure is small compared to magnetic pressure, considering field-aligned plasma…