# The dynamics of interacting nonlinearities governing long wavelength drift wave turbulence

## Abstract

This work examines a group of turbulent systems with marked differences from Navier-Stokes turbulence, and attempts to quantify some of their properties. This group of systems represents a variety of drift wave fluctuations believed to be of fundamental importance in laboratory fusion devices. From extensive simulation of simple local fluid models of long wavelength drift wave turbulence in tokamaks, a reasonably complete picture of the basic properties of spectral transfer and saturation has emerged. These studies indicate that many conventional notions concerning directions of cascades, locality and isotropy of transfer, frequencies of fluctuations, and stationarity of saturation are not valid for moderate to long wavelengths (k{rho}{sub s} {le} 1). In particular, spectral energy transfer at long wavelengths is dominated by the E {times} B nonlinearity, which carries energy to short scale (even in 2-D) in a manner that is highly nonlocal and anisotropic. In marked contrast to the canonical self-similar cascade dynamics of Kolmogorov, energy is efficiently passed between modes separated by the entire spectrum range in a correlation time. At short wavelengths, transfer is dominated by the polarization drift nonlinearity. While the standard dual cascade applies in this subrange, it is found that finite spectrum size can produce cascadesmore »

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)

- OSTI Identifier:
- 98645

- Resource Type:
- Miscellaneous

- Resource Relation:
- Other Information: TH: Thesis (Ph.D.); PBD: 1993

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION; TOKAMAK TYPE REACTORS; PLASMA DRIFT; PLASMA; DRIFT INSTABILITY; PARAMETRIC INSTABILITIES

### Citation Formats

```
Newman, D E.
```*The dynamics of interacting nonlinearities governing long wavelength drift wave turbulence*. United States: N. p., 1993.
Web.

```
Newman, D E.
```*The dynamics of interacting nonlinearities governing long wavelength drift wave turbulence*. United States.

```
Newman, D E. 1993.
"The dynamics of interacting nonlinearities governing long wavelength drift wave turbulence". United States.
```

```
@article{osti_98645,
```

title = {The dynamics of interacting nonlinearities governing long wavelength drift wave turbulence},

author = {Newman, D E},

abstractNote = {This work examines a group of turbulent systems with marked differences from Navier-Stokes turbulence, and attempts to quantify some of their properties. This group of systems represents a variety of drift wave fluctuations believed to be of fundamental importance in laboratory fusion devices. From extensive simulation of simple local fluid models of long wavelength drift wave turbulence in tokamaks, a reasonably complete picture of the basic properties of spectral transfer and saturation has emerged. These studies indicate that many conventional notions concerning directions of cascades, locality and isotropy of transfer, frequencies of fluctuations, and stationarity of saturation are not valid for moderate to long wavelengths (k{rho}{sub s} {le} 1). In particular, spectral energy transfer at long wavelengths is dominated by the E {times} B nonlinearity, which carries energy to short scale (even in 2-D) in a manner that is highly nonlocal and anisotropic. In marked contrast to the canonical self-similar cascade dynamics of Kolmogorov, energy is efficiently passed between modes separated by the entire spectrum range in a correlation time. At short wavelengths, transfer is dominated by the polarization drift nonlinearity. While the standard dual cascade applies in this subrange, it is found that finite spectrum size can produce cascades that are reverse directed (i.e., energy to high k) and are nonconservative in enstrophy and energy similarity ranges (but conservative overall). In regions where both nonlinearities are important, cross-coupling between the nonlinearities gives rise to large nonlinear frequency shifts as well as changes in the spectral dynamics. This profoundly affects the dynamics of saturation by modifying the growth rate and nonlinear transfer rates. These modifications can produce a nonstationary saturated state with large amplitude, long period relaxation oscillations in the energy, spectrum shape, and transport rates.},

doi = {},

url = {https://www.osti.gov/biblio/98645},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1993},

month = {12}

}