Abstract
Most commonly used models for turbulent mixing in the ocean rely on a background stratification against which turbulence must work to stir the fluid. While this background stratification is typically well defined in idealized numerical models, it is more difficult to capture in observations. Here, a potential discrepancy in ocean mixing estimates due to the chosen calculation of the background stratification is explored using direct numerical simulation data of breaking internal waves on slopes. Two different methods for computing the buoyancy frequency, one based on a three-dimensionally sorted density field (often used in numerical models) and the other based on locally sorted vertical density profiles (often used in the field), are used to quantify the effect of on turbulence quantities. It is shown that how is calculated changes not only the flux Richardson number, which is often used to parameterize turbulent mixing, but also the turbulence activity number or the Gibson number, leading to potential errors in estimates of the mixing efficiency using -based parameterizations.
Recommended Citation
R. S. Arthur et al., "How We Compute N Matters to Estimates of Mixing in Stratified Flows," Journal of Fluid Mechanics, vol. 831, article no. R2, Cambridge University Press, Nov 2017.
The definitive version is available at https://doi.org/10.1017/jfm.2017.679
Department(s)
Civil, Architectural and Environmental Engineering
Keywords and Phrases
internal waves; stratified turbulence; turbulent mixing
International Standard Serial Number (ISSN)
1469-7645; 0022-1120
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 Cambridge University Press, All rights reserved.
Publication Date
25 Nov 2017

Comments
National Science Foundation, Grant 1151838