Nonlinear amplification in hydrodynamic turbulence

Kartik P. Iyer, Katepalli R. Sreenivasan, P. K. Yeung

Research output: Contribution to journalArticlepeer-review


Using direct numerical simulations performed on periodic cubes of various sizes, the largest being, we examine the nonlinear advection term in the Navier-Stokes equations generating fully developed turbulence. We find significant dissipation even in flow regions where nonlinearity is locally absent. With increasing Reynolds number, the Navier-Stokes dynamics amplifies the nonlinearity in a global sense. This nonlinear amplification with increasing Reynolds number renders the vortex stretching mechanism more intermittent, with the global suppression of nonlinearity, reported previously, restricted to low Reynolds numbers. In regions where vortex stretching is absent, the angle and the ratio between the convective vorticity and solenoidal advection in three-dimensional isotropic turbulence are statistically similar to those in the two-dimensional case, despite the fundamental differences between them.

Original languageEnglish (US)
JournalJournal of Fluid Mechanics
StatePublished - Jan 10 2022


  • isotropic turbulence
  • turbulence simulation
  • turbulence theory

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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