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Turbulent Flow

Turbulent Flow

Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent spots,...

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Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques

Published on: March 12, 2019

Turbulence phase screens based on polar-logarithmic spectral sampling.

William P Burckel¹, Ryan N Gray

¹Schafer Corporation, 2309 Renard S. E., Albuquerque, New Mexico 87106, USA. bburckel@schaferalb.com

|July 12, 2013

Summary

This study introduces a new method for generating accurate turbulence phase screens using filtered white noise and logarithmic sampling. This approach overcomes limitations of traditional uniform sampling, improving simulation efficiency and accuracy.

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Area of Science:

Adaptive optics
Computational physics
Wave optics

Background:

Traditional uniform sampling schemes for turbulence phase screens present several limitations.
These limitations can affect the accuracy and efficiency of wave-optics simulations.

Purpose of the Study:

To develop an accurate method for generating turbulence phase screens.
To overcome the shortcomings associated with uniform sampling schemes in wave-optics simulations.

Main Methods:

Utilized a filtered white noise process applied to logarithmically sampled turbulence spectra.
Employed cylindrical spatial frequency coordinates for generating phase screens.
Decoupled phase screen sampling from the wave-optics computational mesh requirements.

Main Results:

The proposed method produces accurate phase screens.
Phase screens exhibit isotropic statistics and do not require low spatial frequency augmentation.
Achieved prescribed resolution with optimized sampling for simulations.
Developed an economical method for screen motion, minimizing memory usage.

Conclusions:

Logarithmic sampling offers a superior alternative to uniform sampling for turbulence phase screens.
The new method enhances the efficiency and accuracy of wave-optics simulations.
This technique provides a more optimal and economical approach to simulating atmospheric turbulence.