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Pressure spectrum in homogeneous turbulence.
1Department of Systems Engineering, Nagoya Institute of Technology, Showa-ku, Nagoya, 466-8555 Japan.
Physical Review Letters
|May 1, 2001
Summary
This study investigates pressure spectrum in homogeneous steady turbulence using direct numerical simulation. Researchers found a new scaling for the pressure spectrum in the inertial range, P(k) = B(p)epsilon;(4/3)k(-7/3).
Area of Science:
- Fluid Dynamics
- Turbulence Research
- Computational Physics
Background:
- Understanding turbulence is crucial for various scientific and engineering fields.
- The behavior of pressure spectrum in turbulent flows requires further investigation.
Purpose of the Study:
- To analyze the pressure spectrum in homogeneous steady turbulence.
- To identify universal scaling laws for the pressure spectrum.
Main Methods:
- Direct numerical simulation with resolution up to 1024(3).
- Analysis of flows with Reynolds number R(lambda) ranging from 38 to 478.
Main Results:
- The energy spectrum exhibits a finite inertial range with a Kolmogorov constant K = 1.65+/-0.05.
- The pressure spectrum in the inertial range follows P(k) = B(p)epsilon;(4/3)k(-7/3), with B(p) = 8.0+/-0.5.
- A spectral bump was observed at higher wave numbers, nearly k(-5/3).
Conclusions:
- The study confirms a finite inertial range in the energy spectrum.
- A new scaling for the pressure spectrum in homogeneous steady turbulence is proposed.
- Findings contribute to the understanding of turbulence universality.