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Published on: April 23, 2018
Turbulent flow properties of large-scale vortex systems.
1Department of Mechanical Engineering, University of Maryland, College Park, MD 20742 bernard@umd.edu.
Summary
Simulations of interacting vortex tubes reveal statistical properties consistent with turbulent fluid flow, including the Kolmogorov spectrum. A novel algorithm makes vortex tube methods practical for high Reynolds number turbulence simulation.
Area of Science:
- Fluid dynamics
- Computational physics
Background:
- Turbulent fluid flow is characterized by complex dynamics, including vortex filaments.
- Understanding these dynamics is crucial for various scientific and engineering applications.
Purpose of the Study:
- To investigate the relationship between dynamically interacting vortex tubes and turbulent fluid flow.
- To assess the viability of vortex tube methods for simulating high Reynolds number flows.
Main Methods:
- Large-scale computations of dynamically interacting vortex tubes forming filaments.
- Application of a loop-removal algorithm to manage computational complexity.
Main Results:
- Statistical properties of vortex tubes align with turbulence observations, such as the Kolmogorov inertial range spectrum.
- Vorticity distribution exhibits lognormality, a known characteristic of turbulence.
- The loop-removal algorithm reduces computational growth rate from exponential to linear.
Conclusions:
- The vortex tube method, enhanced by the loop-removal algorithm, shows promise for simulating high Reynolds number turbulent flows.
- The method's consistency with established turbulence statistics validates its physical underpinnings.
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