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<p>In stratified turbulence, which is one of canonical anisotropic turbulence, energy flux should be anisotropic and directional. Based on two ansatzes, net locality and efficiency of the energy transfer, the local energy flux, which is a geometric vector in the wavenumber space, can be uniquely determined. On the other hand, the weak turbulence theory demonstrates that nonlocal resonant interactions are dominant in the energy transfer of internal-wave turbulence in the anisotropic and scale-invariant limits. The <i>local</i> energy-flux vectors represent energy flux to the wavenumber modes having large frequencies and large vertical wavenumbers, which is similar to major contribution of <i>local</i> resonant interactions and that due to parametric subharmonic instability among the <i>nonlocal</i> resonant interactions. The locality of the energy transfer in internal-wave turbulence is discussed to clarify the difference and similarity between the local energy-flux vectors and the nonlocal resonant interactions.</p>

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Anisotropic Energy Cascade in Strongly Stratified Turbulence

  • 期刊论文

  • 发表日期：

    2025年3月20日

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  • Naoto Yokoyama,
  • Masanori Takaoka

摘要

In stratified turbulence, which is one of canonical anisotropic turbulence, energy flux should be anisotropic and directional. Based on two ansatzes, net locality and efficiency of the energy transfer, the local energy flux, which is a geometric vector in the wavenumber space, can be uniquely determined. On the other hand, the weak turbulence theory demonstrates that nonlocal resonant interactions are dominant in the energy transfer of internal-wave turbulence in the anisotropic and scale-invariant limits. The local energy-flux vectors represent energy flux to the wavenumber modes having large frequencies and large vertical wavenumbers, which is similar to major contribution of local resonant interactions and that due to parametric subharmonic instability among the nonlocal resonant interactions. The locality of the energy transfer in internal-wave turbulence is discussed to clarify the difference and similarity between the local energy-flux vectors and the nonlocal resonant interactions.