Homogeneous isotropic turbulence in four spatial dimensions

Arjun Berera, Richard D. J. G. Ho, Daniel Clark

Research output: Contribution to journalArticlepeer-review

Abstract

Direct Numerical Simulation is performed of the forced Navier-Stokes equation in four spatial dimensions. Well equilibrated, long time runs at sufficient resolution were obtained to reliably measure spectral quantities, the velocity derivative skewness and the dimensionless dissipation rate. Comparisons to corresponding two and three dimensional results are made. Energy fluctuations are measured and show a clear reduction moving from three to four dimensions. The dynamics appear to show simplifications in four dimensions with a picture of increased forward energy transfer resulting in an extended inertial range with smaller Kolmogorov scale. This enhanced forwards transfer is linked to our finding of increased dissipative anomaly and velocity derivative skewness.
Original languageEnglish
Article number085107
JournalPhysics of Fluids
Volume32
DOIs
Publication statusPublished - 17 Aug 2020

Keywords

  • physics.flu-dyn
  • cond-mat.stat-mech
  • hep-th

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