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Updated: Aug 11, 2026
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Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Experiments and direct numerical simulations of two-dimensional turbulence
1Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence cedex, France.
Summary
Two-dimensional grid turbulence exhibits two coexisting cascades, aligning with theoretical predictions for energy density and scalar spectra. Energy transfers upscale, and vorticity correlations follow logarithmic patterns consistent with recent models.
Area of Science:
- Fluid Dynamics
- Turbulence Theory
- Computational Physics
Background:
- Two-dimensional (2D) turbulence is a fundamental area of fluid dynamics.
- Understanding energy and scalar transfer mechanisms is crucial for characterizing turbulent flows.
- Previous models have proposed specific behaviors for 2D turbulent systems.
Purpose of the Study:
- To investigate the coexistence of energy and scalar cascades in 2D grid turbulence.
- To validate experimental and simulation findings against established theoretical predictions.
- To analyze the energy transfer function and vorticity correlation function.
Main Methods:
- Conducting experiments on 2D grid turbulence.
- Performing direct numerical simulations (DNS) of 2D grid turbulence.
- Analyzing energy density, scalar spectra, energy transfer function, and vorticity correlation function.
Main Results:
- Observed the coexistence of two distinct cascades in 2D grid turbulence.
- Confirmed consistency between experimental/simulation results and theoretical predictions for energy density and scalar spectra.
- The energy transfer function demonstrated expected upscale energy transfers.
- The vorticity correlation function exhibited a logarithmic behavior, supporting recent theoretical models.
Conclusions:
- The study confirms the existence of two cascades in 2D grid turbulence.
- Findings validate key theoretical predictions regarding energy and scalar transport in such flows.
- The observed vorticity correlation supports emerging theoretical frameworks for 2D turbulence.
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