Nonlinear Vortex Structures Driven by Small-Scale Non-helical Forces in Obliquely Rotating Stratified Fluids


  • M.I. Kopp Institute for Single Crystals, Nat. Acad. of Sci. of Ukraine
  • A.V. Tur Universit´e de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Plan´etologie
  • V.V. Yanovsky Institute for Single Crystals, Nat. Acad. of Sci. of Ukraine, V.N. Karazin Kharkiv National University



equations of hydrodynamics in the Boussinesq approximation, Coriolis force, multiscale asymptotic expansions, small-scale nonhelical turbulence, a-effect


We study a new type of large-scale instability in obliquely rotating stratifi ed fl uids with small-scale nonhelical turbulence. The small-scale turbulence is generated by the external force with zero helicity and low Reynolds number. The theory uses the method of multiscale asymptotic expansions. The nonlinear equations for large-scale motions are obtained in the third order of perturbation theory. We consider a linear instability and stationary nonlinear modes. Solutions in the form of nonlinear Beltrami waves and localized vortex structures such as kinks of a new type are obtained.


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How to Cite

Kopp, M., Tur, A., & Yanovsky, V. (2021). Nonlinear Vortex Structures Driven by Small-Scale Non-helical Forces in Obliquely Rotating Stratified Fluids. Ukrainian Journal of Physics, 66(6), 478.



General physics