# Multi-water-bag models of ion temperature gradient instability in cylindrical geometry

## Abstract

Ion temperature gradient instabilities play a major role in the understanding of anomalous transport in core fusion plasmas. In the considered cylindrical geometry, ion dynamics is described using a drift-kinetic multi-water-bag model for the parallel velocity dependency of the ion distribution function. In a first stage, global linear stability analysis is performed. From the obtained normal modes, parametric dependencies of the main spectral characteristics of the instability are then examined. Comparison of the multi-water-bag results with a reference continuous Maxwellian case allows us to evaluate the effects of discrete parallel velocity sampling induced by the Multi-Water-Bag model. Differences between the global model and local models considered in previous works are discussed. Using results from linear, quasilinear, and nonlinear numerical simulations, an analysis of the first stage saturation dynamics of the instability is proposed, where the divergence between the three models is examined.

- Authors:

- Institut Jean Lamour UMR CNRS 7198 Département Physique de la Matière et des Matériaux, Université de Lorraine, Faculté des Sciences et Technologie, Campus Victor Grignard BP 70239, 54506 Vandoeuvre-lès-Nancy Cedex (France)
- Institut Jean Lamour UMR CNRS 7198 Département Physique de la Matière et des Matériaux and Institut Elie Cartan UMR CNRS 7502 INRIA Calvi Team, Université de Lorraine, Faculté des Sciences et Technologie, Campus Victor Grignard BP 70239, 54506 Vandoeuvre-lès-Nancy Cedex (France)

- Publication Date:

- OSTI Identifier:
- 22218594

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 5; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHARGED-PARTICLE TRANSPORT; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; CYLINDRICAL CONFIGURATION; DISTRIBUTION FUNCTIONS; DRIFT INSTABILITY; ELECTRON TEMPERATURE; ION TEMPERATURE; IONS; MATHEMATICAL MODELS; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; PLASMA; PLASMA SIMULATION; TEMPERATURE GRADIENTS

### Citation Formats

```
Coulette, David, and Besse, Nicolas.
```*Multi-water-bag models of ion temperature gradient instability in cylindrical geometry*. United States: N. p., 2013.
Web. doi:10.1063/1.4804272.

```
Coulette, David, & Besse, Nicolas.
```*Multi-water-bag models of ion temperature gradient instability in cylindrical geometry*. United States. doi:10.1063/1.4804272.

```
Coulette, David, and Besse, Nicolas. Wed .
"Multi-water-bag models of ion temperature gradient instability in cylindrical geometry". United States. doi:10.1063/1.4804272.
```

```
@article{osti_22218594,
```

title = {Multi-water-bag models of ion temperature gradient instability in cylindrical geometry},

author = {Coulette, David and Besse, Nicolas},

abstractNote = {Ion temperature gradient instabilities play a major role in the understanding of anomalous transport in core fusion plasmas. In the considered cylindrical geometry, ion dynamics is described using a drift-kinetic multi-water-bag model for the parallel velocity dependency of the ion distribution function. In a first stage, global linear stability analysis is performed. From the obtained normal modes, parametric dependencies of the main spectral characteristics of the instability are then examined. Comparison of the multi-water-bag results with a reference continuous Maxwellian case allows us to evaluate the effects of discrete parallel velocity sampling induced by the Multi-Water-Bag model. Differences between the global model and local models considered in previous works are discussed. Using results from linear, quasilinear, and nonlinear numerical simulations, an analysis of the first stage saturation dynamics of the instability is proposed, where the divergence between the three models is examined.},

doi = {10.1063/1.4804272},

journal = {Physics of Plasmas},

number = 5,

volume = 20,

place = {United States},

year = {Wed May 15 00:00:00 EDT 2013},

month = {Wed May 15 00:00:00 EDT 2013}

}