Wake Vortices and Dissipation in a Tidally Modulated Flow Past a Three‐Dimensional Topography

Abstract

Large eddy simulations are employed to investigate the role of tidal modulation strength on wake vortices and dissipation in flow past three‐dimensional topography, specifically a conical abyssal hill. The barotropic current is of the form Uc + Ut sin(Ωtt), where Uc and Ut are the mean and oscillatory components, respectively, and Ωt is the tidal frequency. A regime with strong stratification and weak rotation is considered. The velocity ratio R = Ut/Uc is varied from 0 to 1. Simulation results show that the frequency of wake vortices reduces gradually with increasing R from its natural shedding frequency at R = 0 to Ωt/2 when R ≥ 0.2. The ratio of R and the excursion number, denoted as , controls the shift in the vortex frequency. When , vortices are trapped in the wake during tidal deceleration, extending the vortex shedding cycle to two tidal cycles. Elevated dissipation rates in the obstacle lee are observed in the lateral shear layer, hydraulic jet, and the near wake. The regions of strong dissipation are spatially intermittent, with values exceeding during the maximum‐velocity phase, where D is the base diameter of the hill. The maximum dissipation rate during the tidal cycle increases monotonically with R in the downstream wake. Additionally, the normalized area‐integrated dissipation rate in the hydraulic response region scales with R as (1 + R)4. Results show that the wake dissipation energetically dominates the internal wave flux in this class of low‐Froude number geophysical flows.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 01, 2022
Source ID
10.1029/2022jc018470

Entities

People

  • Geno Pawlak
  • Pranav Puthan
  • Sutanu Sarkar

Organizations

  • National Science Foundation
  • Office of Naval Research
  • Scripps Institution of Oceanography
  • University of California, San Diego

Tags

Readers

  • Analytical Mechanics
  • Coastal Oceanography
  • Fluid Mechanics and Fluid Dynamics.