Skip Navigation

How to Download

FRDR offers multiple ways to download datasets. Learn more in our documentation.

Implications of Reynolds Averaging for Reactive Tracers in Turbulent Flows

Description: RANS simulations have been broadly used to investigate turbulence in the oceans and atmosphere. Within these environments there are a multitude of tracers undergoing reactions (eg. phytoplankton growth, chemical reactions). The distribution of these reactive tracers is strongly influenced by turbulent mixing. With a 50 member ensemble of two-dimensional Rayleigh-Taylor induced turbulent mixing, we show that the dynamics of a reactive tracer growing according to Fisher’s equation are poorly captured by the mean. A fluctuation-dependent sink introduced by Reynolds averaging Fisher’s equation transfers concentration from the mean to the fluctuations. We compare the dynamics of the reactive tracer with those of a passive tracer. The data herein provide all metrics used to demonstrate these results. The .mat files contain the data required to reproduce all figures and the .m files are plotting scripts. The data included herein was collected from an ensemble generated with SPINS (Spectral Parallel Incompressible Navier-Stokes Solver), which can be cloned from

The data in this repository correspond to "Implications of Reynolds Averaging for Reactive Tracers in Turbulent Flows" by Legare and Stastna, 2023 (submitted). For detailed information on interpreting the data, see the associated submitted manuscript on Preprints:
Notes: Implications of Reynolds Averaging for Reactive Tracers in Turbulent Flows Publication:
Authors: Legare, Sierra; University of Waterloo; ORCID iD 0000-0003-2341-4305
Stastna, Marek; University of Waterloo; ORCID iD 0000-0003-1770-2044
Keywords: Reynolds-Averaged Navier-Stokes Equations
RANS Simulations
Reactive Tracer
Computational Fluid Dynamics
Rayleigh-Taylor Instability
Spectral Parallel Incompressible Navier-Stokes Solver (SPINS)
Field of Research: 
Mathematics and statistics
Applied mathematics
Computational fluid mechanics
Publication Date: 2023-09-22
Publisher: Federated Research Data Repository / dépôt fédéré de données de recherche
Funder: Natural Sciences and Engineering Research Council; Alexander Graham Bell Canada Graduate Scholarship - Masters (S.L.)
Natural Sciences and Engineering Research Council; Discovery Grant; RGPIN-311844-37157
Related Identifiers: 
This dataset is cited by

This dataset is derived from

Files in Dataset 
No files uploaded
Download entire dataset using Globus Transfer. This method requires a Globus account and installing software. Watch Video: Get Started with FRDR: Download a Dataset
Download with Globus
Files for this dataset are currently being backed up so it cannot be approved at this time. Please try later.

Access to this dataset is subject to the following terms:
Creative Commons Attribution 4.0 International (CC BY 4.0)
Legare, S., Stastna, M. (2023). Implications of Reynolds Averaging for Reactive Tracers in Turbulent Flows. Federated Research Data Repository.