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13:02
Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Scaling and statistics in three-dimensional compressible turbulence
Jianchun Wang1, Yipeng Shi, Lian-Ping Wang
1SKLTCS and CAPT, College of Engineering, Peking University, Beijing 100871, China.
Physical Review Letters
|September 26, 2012
Summary
High-resolution simulations reveal compressible turbulence statistical properties mirror incompressible flows for solenoidal components. Compressive components exhibit unique scaling, with pressure effects driving differences from Burgers turbulence.
Area of Science:
- Fluid Dynamics
- Turbulence Research
- Computational Physics
Background:
- Understanding three-dimensional compressible turbulence is crucial for various scientific and engineering fields.
- Previous studies often simplified turbulence models, limiting applicability to real-world scenarios.
Purpose of the Study:
- To investigate the scaling and statistical properties of three-dimensional compressible turbulence.
- To compare these properties with incompressible turbulence and Burgers turbulence models.
Main Methods:
- High-resolution numerical simulations of compressible turbulence.
- Development and application of a heuristic model for turbulence analysis.
- Examination of two-point statistics and velocity structure functions.
Main Results:
- Solendoidal components of compressible turbulence show statistical similarities to incompressible turbulence.
- Compressive components exhibit scaling exponent saturation at high orders.
- A power-law tail in the probability density function of negative velocity divergence was observed.
Conclusions:
- Pressure effects significantly influence compressible turbulence, differentiating it from Burgers turbulence.
- The findings provide deeper insights into the complex dynamics of compressible fluid flows.
- The study validates the use of numerical simulations and heuristic models in turbulence research.
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