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Title: Effect of the numerical discretization scheme in Shock-Driven turbulent mixing simulations

Abstract

In this work, we evaluate the effects of distinct numerical strategies in simulations of shock-driven turbulent mixing. An air-SF6-air gas curtain subjected to Mach 1.2 shock-waves is computed with Implicit Large-Eddy Simulation based on three numerical schemes: directional-split with Harten-Lax-van Leer (HLL) solver; directional-unsplit using HLL-Contact (HLLC) solver; and directional-unsplit with HLLC solver and a Low Mach number Correction (LMC). The results illustrate the importance of the numerical strategy to the accuracy of the predictions. Whereas both split and unsplit schemes result in a similar spatial development of the initial shock-driven instability, only the unsplit schemes can predict the turbulent mixing transition after reshock observed by the laboratory experiments. Such feature increases the mixing rate of the two fluids, this being particularly pronounced when the LMC is active due to i) the reduced flow Mach number, and ii) the larger effective Reynolds number. Since the selected mixing problem is driven by the deposition of vorticity at the fluids’ interface, the resultant flow physics is analyzed by investigating the contribution of distinct inviscid mechanisms to the production of vorticity: baroclinicity, stretching, and dilatation. As expected, it is observed that the production of vorticity is initially dominated by the baroclinicity mechanism. Yet,more » the relevance of the remainder mechanisms is enhanced after the reshock and may even surpass the baroclinicity term.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  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:
1604011
Report Number(s):
LA-UR-19-31104
Journal ID: ISSN 0045-7930
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Computers and Fluids
Additional Journal Information:
Journal Volume: 201; Journal Issue: C; Related Information: This paper is dedicated to the memory of Dr. Douglas Nelson Woods ( ∗January 11 th 1985 - † September 11 th 2019), promising young scientist and post-doctoral research fellow at Los Alamos National Laboratory. Our thoughts and wishes go to his wife Jes- sica, to his parents Susan and Tom, to his sister Rebecca and to his brother Chris, whom he left behind.; Journal ID: ISSN 0045-7930
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Shock-driven turbulent mixing; Gas curtain; RMI; ILES; Numerical discretization scheme; Turbulence; Transition; Vorticity production

Citation Formats

Soares Pereira, Filipe Miguel, Grinstein, Fernando F., and Israel, Daniel M.. Effect of the numerical discretization scheme in Shock-Driven turbulent mixing simulations. United States: N. p., 2020. Web. https://doi.org/10.1016/j.compfluid.2020.104487.
Soares Pereira, Filipe Miguel, Grinstein, Fernando F., & Israel, Daniel M.. Effect of the numerical discretization scheme in Shock-Driven turbulent mixing simulations. United States. https://doi.org/10.1016/j.compfluid.2020.104487
Soares Pereira, Filipe Miguel, Grinstein, Fernando F., and Israel, Daniel M.. Sat . "Effect of the numerical discretization scheme in Shock-Driven turbulent mixing simulations". United States. https://doi.org/10.1016/j.compfluid.2020.104487. https://www.osti.gov/servlets/purl/1604011.
@article{osti_1604011,
title = {Effect of the numerical discretization scheme in Shock-Driven turbulent mixing simulations},
author = {Soares Pereira, Filipe Miguel and Grinstein, Fernando F. and Israel, Daniel M.},
abstractNote = {In this work, we evaluate the effects of distinct numerical strategies in simulations of shock-driven turbulent mixing. An air-SF6-air gas curtain subjected to Mach 1.2 shock-waves is computed with Implicit Large-Eddy Simulation based on three numerical schemes: directional-split with Harten-Lax-van Leer (HLL) solver; directional-unsplit using HLL-Contact (HLLC) solver; and directional-unsplit with HLLC solver and a Low Mach number Correction (LMC). The results illustrate the importance of the numerical strategy to the accuracy of the predictions. Whereas both split and unsplit schemes result in a similar spatial development of the initial shock-driven instability, only the unsplit schemes can predict the turbulent mixing transition after reshock observed by the laboratory experiments. Such feature increases the mixing rate of the two fluids, this being particularly pronounced when the LMC is active due to i) the reduced flow Mach number, and ii) the larger effective Reynolds number. Since the selected mixing problem is driven by the deposition of vorticity at the fluids’ interface, the resultant flow physics is analyzed by investigating the contribution of distinct inviscid mechanisms to the production of vorticity: baroclinicity, stretching, and dilatation. As expected, it is observed that the production of vorticity is initially dominated by the baroclinicity mechanism. Yet, the relevance of the remainder mechanisms is enhanced after the reshock and may even surpass the baroclinicity term.},
doi = {10.1016/j.compfluid.2020.104487},
journal = {Computers and Fluids},
number = C,
volume = 201,
place = {United States},
year = {2020},
month = {2}
}

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