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Title: Two-length-scale turbulence model for self-similar buoyancy-, shock-, and shear-driven mixing

Journal Article · · Physical Review E
 [1];  [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
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The three-equation k-L-a turbulence model [B. Morgan and M. Wickett, Three-equation model for the self-similar growth of Rayleigh-Taylor and Richtmyer-Meshkov instabilities," Phys. Rev. E 91 (2015)] is extended by the addition of a second length scale equation. It is shown that the separation of turbulence transport and turbulence destruction length scales is necessary for simultaneous prediction of the growth parameter and turbulence intensity of a Kelvin-Helmholtz shear layer when model coeficients are constrained by similarity analysis. Constraints on model coeficients are derived that satisfy an ansatz of self-similarity in the low-Atwood-number limit and allow the determination of model coeficients necessary to recover expected experimental behavior. The model is then applied in one-dimensional simulations of Rayleigh-Taylor, reshocked Richtmyer-Meshkov, Kelvin{Helmholtz, and combined Rayleigh-Taylor/Kelvin-Helmholtz instability mixing layers to demonstrate that the expected growth rates are recovered numerically. Finally, it is shown that model behavior in the case of combined instability is to predict a mixing width that is a linear combination of Rayleigh-Taylor and Kelvin-Helmholtz mixing processes.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1430927
Alternate ID(s):
OSTI ID: 1416418
Report Number(s):
LLNL-JRNL-740721; PLEEE8; TRN: US1802766
Journal Information:
Physical Review E, Vol. 97, Issue 1; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

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Cited By (2)

The modeling of delayed-onset Rayleigh-Taylor and transition to mixing in laser-driven HED experiments journal May 2019
Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities journal August 2019

Figures / Tables (13)

TABLE I(p. 8)table TABLE I
FIG. 1(p. 9)figure FIG. 1
FIG. 2(p. 9)figure FIG. 2
FIG. 3(p. 10)figure FIG. 3
FIG. 4(p. 10)figure FIG. 4
FIG. 5(p. 11)figure FIG. 5
FIG. 6(p. 12)figure FIG. 6
FIG. 7(p. 12)figure FIG. 7
FIG. 8(p. 13)figure FIG. 8
FIG. 10(p. 14)figure FIG. 10
FIG. 9(p. 14)figure FIG. 9
FIG. 11(p. 15)figure FIG. 11
FIG. 12(p. 16)figure FIG. 12

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