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Title: Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations

Abstract

In this paper, transition and turbulence decay with the Taylor–Green vortex have been effectively used to demonstrate emulation of high Reynolds-number ( Re ) physical dissipation through numerical convective effects of various non-oscillatory finite-volume algorithms for implicit large eddy simulation (ILES), e.g. using the Godunov-based Eulerian adaptive mesh refinement code xRAGE. The inverse-chevron shock tube experiment simulations have been also used to assess xRAGE based ILES for shock driven turbulent mixing, compared with available simulation and laboratory data. The previous assessments are extended to evaluate new directionally-unsplit high-order algorithms in xRAGE, including a correction to address the well-known issue of excessive numerical diffusion of shock-capturing (e.g., Godunov-type) schemes for low Mach numbers. The unsplit options for hydrodynamics in xRAGE are discussed in detail, followed by fundamental tests with representative shock problems. Basic issues of transition to turbulence and turbulent mixing are discussed, and results of simulations of high- Re turbulent flow and mixing in canonical test cases are reported. Finally, compared to the directional-split cases, and for each grid resolution considered, unsplit results exhibit transition to turbulence with much higher effective Re —and significantly more so with the low Mach number correction.

Authors:
ORCiD logo [1];  [1];  [1];  [1];  [1];  [1]
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  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1441319
Report Number(s):
LA-UR-17-31238
Journal ID: ISSN 0898-1221
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Computers and Mathematics with Applications (Oxford)
Additional Journal Information:
Journal Name: Computers and Mathematics with Applications (Oxford); Journal Volume: 78; Journal Issue: 2; Journal ID: ISSN 0898-1221
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; shock-driven turbulence; material mixing; Eulerian methods

Citation Formats

Grinstein, F. F., Saenz, J. A., Dolence, J. C., Masser, T. O., Rauenzahn, R. M., and Francois, M. M. Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations. United States: N. p., 2018. Web. doi:10.1016/j.camwa.2018.05.008.
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Grinstein, F. F., Saenz, J. A., Dolence, J. C., Masser, T. O., Rauenzahn, R. M., & Francois, M. M. Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations. United States. https://doi.org/10.1016/j.camwa.2018.05.008
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Grinstein, F. F., Saenz, J. A., Dolence, J. C., Masser, T. O., Rauenzahn, R. M., and Francois, M. M. Thu . "Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations". United States. https://doi.org/10.1016/j.camwa.2018.05.008. https://www.osti.gov/servlets/purl/1441319.
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@article{osti_1441319,
title = {Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations},
author = {Grinstein, F. F. and Saenz, J. A. and Dolence, J. C. and Masser, T. O. and Rauenzahn, R. M. and Francois, M. M.},
abstractNote = {In this paper, transition and turbulence decay with the Taylor–Green vortex have been effectively used to demonstrate emulation of high Reynolds-number (Re) physical dissipation through numerical convective effects of various non-oscillatory finite-volume algorithms for implicit large eddy simulation (ILES), e.g. using the Godunov-based Eulerian adaptive mesh refinement code xRAGE. The inverse-chevron shock tube experiment simulations have been also used to assess xRAGE based ILES for shock driven turbulent mixing, compared with available simulation and laboratory data. The previous assessments are extended to evaluate new directionally-unsplit high-order algorithms in xRAGE, including a correction to address the well-known issue of excessive numerical diffusion of shock-capturing (e.g., Godunov-type) schemes for low Mach numbers. The unsplit options for hydrodynamics in xRAGE are discussed in detail, followed by fundamental tests with representative shock problems. Basic issues of transition to turbulence and turbulent mixing are discussed, and results of simulations of high-Re turbulent flow and mixing in canonical test cases are reported. Finally, compared to the directional-split cases, and for each grid resolution considered, unsplit results exhibit transition to turbulence with much higher effective Re—and significantly more so with the low Mach number correction.},
doi = {10.1016/j.camwa.2018.05.008},
journal = {Computers and Mathematics with Applications (Oxford)},
number = 2,
volume = 78,
place = {United States},
year = {Thu Jun 07 00:00:00 EDT 2018},
month = {Thu Jun 07 00:00:00 EDT 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1016/j.camwa.2018.05.008
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Cited by: 14 works
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Figures / Tables:

Fig. 1 Fig. 1: Slices of density at time t = 0.026 on the x = 0, y = 0 and z = 0 planes on the first (positive) octant, from the 3d Sedov spherical blast wave simulations using the default split hydro scheme (a, c), and the unsplit hydro scheme (b,more » d), on a cartesian mesh with 5 level AMR ($Δx$ = 1/512) and 6 level AMR (1/1024), respectively. All quantities are non-dimensional.« less
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    Works referencing / citing this record:

    Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities
    journal, August 2019

    • Zhou, Ye; Clark, Timothy T.; Clark, Daniel S.
    • Physics of Plasmas, Vol. 26, Issue 8
    • DOI: 10.1063/1.5088745
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      Figures / Tables found in this record:

      Fig. 1 (p. 6)figure
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      Table 1 (p. 13)table
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      Table 2 (p. 18)table
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