Decay and Eigenvalue Problems in Isotropic Turbulence
Zheng Ran
TL;DR
This paper introduces a new scale evolution equation for isotropic turbulence derived from the Karman-Howarth equation, revealing parallels between energy cascading in turbulence and quantum harmonic oscillators.
Contribution
It presents a novel turbulence scale evolution equation and links turbulence energy cascade to quantum harmonic oscillator principles.
Findings
New isotropic turbulence scale evolution equation
Energy cascade resembles quantum harmonic oscillator rules
Theoretical progress in turbulence modeling
Abstract
Based on the Karman-Howarth equation in 3D incompressible fluid, a new isotropic turbulence scale evolution equation and its related theory progress. The present results indicate that the energy cascading process has remarkable similarities with the determinisitic construction rules of the isotonic oscillators in quantum mechanics.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows