Skip to content
DraconiticResearch
Search Sources API
194,216 studies31 sourcesUpdated 8 min ago
PreprintCC BY 4.0arXiv

The dynamical role of vortices in the two-dimensional inverse cascade of turbulence

  • V. J. Valadão
  • R. M. Pereira
  • L. Moriconi
  • G. Boffetta
Open at sourcePDFDOICite

Abstract

We study the inverse energy cascade of two-dimensional turbulence by means of high-resolution numerical simulations forced at intermediate wavenumbers. To clarify the role of vortices generated near the forcing scale, we decompose the vorticity and velocity fields into vortex and background components. Although the vortex component carries only a small fraction of the total energy, it has a clear effect on the energy spectrum and produces deviations from dimensional Kolmogorov scaling, which is realized by the background flow. We derive a generalized von Karman--Howarth balance for the decomposed fields and obtain a relation involving the third-order correlation between vortex and background velocity increments. The simulations support this prediction, which we interpret as a constant inertial-range flux associated with vortex-background correlations.

Related

  1. Stability of inverse cascade in NLS Wave turbulence
    Guillaume Costa, Sergey Nazarenko, Giorgio Krstulovic
    arXivPreprintCC BY 4.0Full textStatistical & nonlinear physicsarXiv
  2. Wave-driven geostrophic vortices in rotating turbulence
    Vladimir Parfenyev, Sergey Vergeles
    arXivPreprintCC BY 4.0Full textFluid dynamicsarXiv
  3. Intrinsic dynamical shadowing of point vortices and finite time singularities
    Xavier Leoncini, Perla El Kettani, Edgardo Ugalde
    HALPreprintCC BY 4.0Full textFluid dynamicsStatistical & nonlinear physicsHALarXiv
  4. Why MHD turbulence forms sheets: energy conversion and cascade geometry
    Damiano Capocci, Moritz Linkmann
    arXivPreprintCC BY 4.0Full textFluid dynamicsPlasma physicsarXiv
  5. Cascade-driven fragmentation-aggregation transitions in decaying turbulence
    Vivek Kumar, Prasoon Suchandra, Shivam Prajapati +2
    arXivPreprintCC BY 4.0Full textFluid dynamicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{valadao2026dynamical,
  title = {{The dynamical role of vortices in the two-dimensional inverse cascade of turbulence}},
  author = {V. J. Valadão and R. M. Pereira and L. Moriconi and G. Boffetta},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01553},
  eprint = {2609.01553},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01553},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The dynamical role of vortices in the two-dimensional inverse cascade of turbulence
AU  - V. J. Valadão
AU  - R. M. Pereira
AU  - L. Moriconi
AU  - G. Boffetta
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01553
UR  - https://arxiv.org/abs/2609.01553
AB  - We study the inverse energy cascade of two-dimensional turbulence by means of high-resolution numerical simulations forced at intermediate wavenumbers. To clarify the role of vortices generated near the forcing scale, we decompose the vorticity and velocity fields into vortex and background components. Although the vortex component carries only a small fraction of the total energy, it has a clear effect on the energy spectrum and produces deviations from dimensional Kolmogorov scaling, which is realized by the background flow. We derive a generalized von Karman--Howarth balance for the decomposed fields and obtain a relation involving the third-order correlation between vortex and background velocity increments. The simulations support this prediction, which we interpret as a constant inertial-range flux associated with vortex-background correlations.
ER  -