Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture
It is proposed that critical balance a scale-by-scale balance between the linear propagation and nonlinear interaction time scales can be used as a universal scaling conjecture for determining the spectra of strong turbulence in anisotropic wave systems. Magnetohydrodynamic (MHD), rotating and strat...
| Auteurs principaux: | , |
|---|---|
| Format: | Journal article |
| Langue: | English |
| Publié: |
2011
|
| _version_ | 1826283462992068608 |
|---|---|
| author | Nazarenko, S Schekochihin, A |
| author_facet | Nazarenko, S Schekochihin, A |
| author_sort | Nazarenko, S |
| collection | OXFORD |
| description | It is proposed that critical balance a scale-by-scale balance between the linear propagation and nonlinear interaction time scales can be used as a universal scaling conjecture for determining the spectra of strong turbulence in anisotropic wave systems. Magnetohydrodynamic (MHD), rotating and stratified turbulence are considered under this assumption and, in particular, a novel and experimentally testable energy cascade scenario and a set of scalings of the spectra are proposed for low-Rossby-number rotating turbulence. It is argued that in neutral fluids the critically balanced anisotropic cascade provides a natural path from strong anisotropy at large scales to isotropic Kolmogorov turbulence at very small scales. It is also argued that the k -2 spectra seen in recent numerical simulations of low-Rossby-number rotating turbulence may be analogous to the k -3/2 spectra of the numerical MHD turbulence in the sense that they could be explained by assuming that fluctuations are polarised (aligned) approximately as inertial waves (Alfvén waves for MHD). © 2011 Cambridge University Press. |
| first_indexed | 2024-03-07T00:59:16Z |
| format | Journal article |
| id | oxford-uuid:89284b7b-bafd-4364-b48a-c401ae2bc2a5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:59:16Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:89284b7b-bafd-4364-b48a-c401ae2bc2a52022-03-26T22:22:32ZCritical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjectureJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:89284b7b-bafd-4364-b48a-c401ae2bc2a5EnglishSymplectic Elements at Oxford2011Nazarenko, SSchekochihin, AIt is proposed that critical balance a scale-by-scale balance between the linear propagation and nonlinear interaction time scales can be used as a universal scaling conjecture for determining the spectra of strong turbulence in anisotropic wave systems. Magnetohydrodynamic (MHD), rotating and stratified turbulence are considered under this assumption and, in particular, a novel and experimentally testable energy cascade scenario and a set of scalings of the spectra are proposed for low-Rossby-number rotating turbulence. It is argued that in neutral fluids the critically balanced anisotropic cascade provides a natural path from strong anisotropy at large scales to isotropic Kolmogorov turbulence at very small scales. It is also argued that the k -2 spectra seen in recent numerical simulations of low-Rossby-number rotating turbulence may be analogous to the k -3/2 spectra of the numerical MHD turbulence in the sense that they could be explained by assuming that fluctuations are polarised (aligned) approximately as inertial waves (Alfvén waves for MHD). © 2011 Cambridge University Press. |
| spellingShingle | Nazarenko, S Schekochihin, A Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture |
| title | Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture |
| title_full | Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture |
| title_fullStr | Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture |
| title_full_unstemmed | Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture |
| title_short | Critical balance in magnetohydrodynamic, rotating and stratified turbulence: towards a universal scaling conjecture |
| title_sort | critical balance in magnetohydrodynamic rotating and stratified turbulence towards a universal scaling conjecture |
| work_keys_str_mv | AT nazarenkos criticalbalanceinmagnetohydrodynamicrotatingandstratifiedturbulencetowardsauniversalscalingconjecture AT schekochihina criticalbalanceinmagnetohydrodynamicrotatingandstratifiedturbulencetowardsauniversalscalingconjecture |