Tomographic reconstruction of atmospheric turbulence with the use of time-dependent stochastic inversion

Vecherin, Sergey N.; Ostashev, Vladimir E.; Ziemann, Astrid; Wilson, D. Keith; Arnold, Klaus; Barth, Manuela

doi:10.1121/1.2756798

Cited by 36 publications

(39 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this context, it can be a very important tool in the study and validation of the theories of turbulence flow. One method for reconstructing turbulent flow based on acoustic tomography is already suggested in Vecherin et al (2007). Although, the authors ignore the main results of this paper (that the time-of-flight measurements are not sufficient for the full wind reconstruction), the exposed ideas can be useful when applied with appropriate changes.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Acoustic Tomography for Scalar and Vector Fields: Theory and Application to Temperature and Wind Estimation

Jovanović

Sbaiz

Vetterli

2009

Journal of Atmospheric and Oceanic Technology

View full text Add to dashboard Cite

Acoustic tomography is a type of inverse problem. The idea of estimating physical quantities that influence sound propagation by measuring the parameters of propagation has proven to be successful in many practical domains, including temperature and wind estimation in the atmosphere. However, in most of the previous work in this area, the algorithms used have not been proven mathematically to provide the correct solution to the inverse problem.This paper considers the problem of reconstructing 2D temperature and wind fields by using acoustic tomography setups. Primarily, it shows that the classical time-of-flight measurements are not sufficient to reconstruct wind fields. As a solution, an additional set of measurements related solely to the parameters of sound propagation-more precisely, to the angles of departure/arrival of sound waves-is suggested. To take the full benefit of this additional information, the bent-ray model of sound propagation is introduced. In this work, it is also shown that, when a temperature and a source-free 2D wind field are observed on bounded domains, the complete reconstruction is possible using only measurements of the time of flight. Conversely, the angles of departures/arrivals are sufficient to reconstruct a temperature and a curl-free 2D wind fields on bounded domains. Further, an iterative reconstruction algorithm is proposed and possible variations to the main scheme are discussed. Finally, the performed numerical simulations confirm the theoretical results, demonstrate fast convergence, and show the advantages of the adopted bent-ray model for sound propagation over the straight-ray model.

show abstract

Section: Discussionmentioning

confidence: 99%

“…In these methods, a priori knowledge about the correlation structure of the solution and the noise is needed. The methods can be extended to include the correlation over space and time (Vecherin et al 2007). …”

Section: ) Groupmentioning

confidence: 99%

Acoustic Tomography for Scalar and Vector Fields: Theory and Application to Temperature and Wind Estimation

Jovanović

Sbaiz

Vetterli

2009

Journal of Atmospheric and Oceanic Technology

View full text Add to dashboard Cite

show abstract

“…In addition, if the flow profile along the axis within a certain segment along a jet or in a pipe can be taken as invariant, the vertical velocity can be reconstructed from ultrasonic measurements with transducers mounted in two layers. 4 Vecherin et al 5,6 proposed a time-dependent stochastic inversion method for the reconstruction of atmospheric turbulence. Prince 7,8 studied 3-D flow vector field reconstruction in a smaller vessel with acoustic measurements.…”

Section: Introductionmentioning

confidence: 99%

Acoustic reconstruction of the velocity field in a furnace using a characteristic flow model

Zhou

Chen³

et al. 2012

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

An acoustic method can provide a noninvasive, efficient and full-field reconstruction of aerodynamic fields in a furnace. A simple yet reasonable model is devised for reconstruction of a velocity field in a cross section of a tangential furnace from acoustic measurements based on typical physical characteristics of the field. The solenoidal component of the velocity field is modeled by a curved surface, derived by rotating a curve of Gaussian distribution, determined by six characteristic parameters, while the nonrotational component is governed by a priori knowledge. Thus the inverse problem is translated into determination of the characteristic parameters using a set of acoustic projection data. First numerical experiments were undertaken to simulate the acoustic measurement, so as to preliminarily validate the effectiveness of the model. Based on this, physical experiments under different operating conditions were performed in a pilot-scale setup to provide a further test. Hot-wire anemometry and strip floating were applied to compare with acoustic measurements. The acoustic measurements provided satisfactory consistency with both of these approaches. Nevertheless, for a field with a relatively large magnitude of air velocities, the acoustic measurement can give more reliable reconstructions. Extension of the model to measurements of hot tangential furnaces is also discussed.

show abstract

“…The cost, maintenance, and deployment difficulties limit more widespread use of some of these instruments, and affordable and agile versions must be developed. Acoustic tomography is being tested for CBL applications where a source and microphone array yields point and area averaged temperature and velocity fields (and hence the heat fluxes; Vecherin et al 2007). There is good potential for application of this technique to SBL, but this requires further research and breakthroughs in methods for treating sound propagation in stably stratified turbulent fluids.…”

Section: E V E Lo Pm E Nt a N D D E Ploy M E Nt Challengesmentioning

confidence: 99%

Whither the Stable Boundary Layer?

Fernando¹,

Weil²

2010

Bull. Amer. Meteor. Soc.

113

View full text Add to dashboard Cite

C learly no other part of the atmosphere is more important to Earth's ecosystems than its lowest layer, known as the atmospheric boundary layer (ABL). The land surface exchanges heat, mass, and momentum with the free atmosphere through the ABL, and naturally the ABL is affected by orography, land use, external forcing (e.g., radiation), and Earth's rotation. Environmental changes, whether due to slowly evolving global warming or rapidly dispersing atmospheric releases, permeate through to living organisms via the ABL. During the daytime, the ABL is driven by surface heating [the convective boundary layer (CBL)], whereas radiative cooling near the ground at night leads to the stable boundary layer (SBL). The nocturnal boundary layer (NBL) is the most common manifestation of SBL, with notable exceptions being areas where the urban heat island eliminates the near-surface stable stratification and polar regions where the SBL can persist continuously for days. The SBL breaks down into a CBL during the "morning transition," and the CBL collapses to an SBL during the "evening transition."Over the past half century, the progress in understanding the CBL has far outpaced the SBL; the much stronger forcing in the CBL makes measurement and modeling of turbulence therein much easier. Conversely, the SBL encapsulates a unique mix of processes that are generally much weaker (at least in total) and often difficult to measure at their scales of influence (let alone over multiple scales), study in isolation, or parameterize robustly. These processes interact in nonlinear way such that emerging new phenomena overshadow the contributing processes, and direct parameterizations of the former based on an understanding of the latter may not be viable. A greater emphasis is therefore needed on the interactions of SBL processes and the resulting modification of heat, mass, and momentum fluxes. Modeling of commonly sought meteorological and air quality indicators-surface temperature and wind speed/direction, fog, air pollution, and dispersion of chemical, biological, and radiological contaminants-relies heavily on  Detail of a shallow SBL in a mountain valley. For complete photo, see Fig. 1.

show abstract

Tomographic reconstruction of atmospheric turbulence with the use of time-dependent stochastic inversion

Cited by 36 publications

References 17 publications

Acoustic Tomography for Scalar and Vector Fields: Theory and Application to Temperature and Wind Estimation

Acoustic Tomography for Scalar and Vector Fields: Theory and Application to Temperature and Wind Estimation

Acoustic reconstruction of the velocity field in a furnace using a characteristic flow model

Whither the Stable Boundary Layer?

Contact Info

Product

Resources

About