Shockdriven transition to turbulence: Emergence of powerlaw scaling
Abstract
Here, we consider two cases of interaction between a planar shock and a cylindrical density interface. In the first case (planar normal shock), the axis of the gas cylinder is parallel to the shock front and baroclinic vorticity deposited by the shock is predominantly two dimensional (directed along the axis of the cylinder). In the second case, the cylinder is tilted, resulting in an oblique shock interaction and a fullythreedimensional shockinduced vorticity field. Furthermore, the statistical properties of the flow for both cases are analyzed based on images from two orthogonal visualization planes, using structure functions of the intensity maps of fluorescent tracer premixed with heavy gas. And at later times, these structure functions exhibit powerlawlike behavior over a considerable range of scales. Manifestation of this behavior is remarkably consistent in terms of dimensionless time τ defined based on Richtmyer's linear theory within the range of Mach numbers from 1.1 to 2.0 and the range of gas cylinder tilt angles with respect to the plane of the shock front (0–30°).
 Authors:
 Univ. of New Mexico, Albuquerque, NM (United States). Dept. of Mechnical Engineering
 Indian Inst. of Technology (IIT), Kanpur (India)
 Publication Date:
 Research Org.:
 Univ. of New Mexico, Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1368386
 Alternate Identifier(s):
 OSTI ID: 1359984
 Grant/Contract Number:
 NA0002913; NA0002913
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review Fluids
 Additional Journal Information:
 Journal Volume: 2; Journal Issue: 5; Journal ID: ISSN 2469990X
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; RichtmyerMeshkov instability; compressible flow
Citation Formats
Olmstead, D., Wayne, P., Simons, D., Trueba Monje, I., Yoo, J. H., Kumar, S., Truman, C. R., and Vorobieff, P. Shockdriven transition to turbulence: Emergence of powerlaw scaling. United States: N. p., 2017.
Web. doi:10.1103/PhysRevFluids.2.052601.
Olmstead, D., Wayne, P., Simons, D., Trueba Monje, I., Yoo, J. H., Kumar, S., Truman, C. R., & Vorobieff, P. Shockdriven transition to turbulence: Emergence of powerlaw scaling. United States. doi:10.1103/PhysRevFluids.2.052601.
Olmstead, D., Wayne, P., Simons, D., Trueba Monje, I., Yoo, J. H., Kumar, S., Truman, C. R., and Vorobieff, P. 2017.
"Shockdriven transition to turbulence: Emergence of powerlaw scaling". United States.
doi:10.1103/PhysRevFluids.2.052601.
@article{osti_1368386,
title = {Shockdriven transition to turbulence: Emergence of powerlaw scaling},
author = {Olmstead, D. and Wayne, P. and Simons, D. and Trueba Monje, I. and Yoo, J. H. and Kumar, S. and Truman, C. R. and Vorobieff, P.},
abstractNote = {Here, we consider two cases of interaction between a planar shock and a cylindrical density interface. In the first case (planar normal shock), the axis of the gas cylinder is parallel to the shock front and baroclinic vorticity deposited by the shock is predominantly two dimensional (directed along the axis of the cylinder). In the second case, the cylinder is tilted, resulting in an oblique shock interaction and a fullythreedimensional shockinduced vorticity field. Furthermore, the statistical properties of the flow for both cases are analyzed based on images from two orthogonal visualization planes, using structure functions of the intensity maps of fluorescent tracer premixed with heavy gas. And at later times, these structure functions exhibit powerlawlike behavior over a considerable range of scales. Manifestation of this behavior is remarkably consistent in terms of dimensionless time τ defined based on Richtmyer's linear theory within the range of Mach numbers from 1.1 to 2.0 and the range of gas cylinder tilt angles with respect to the plane of the shock front (0–30°).},
doi = {10.1103/PhysRevFluids.2.052601},
journal = {Physical Review Fluids},
number = 5,
volume = 2,
place = {United States},
year = 2017,
month = 5
}

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