Dynamic bridging modeling for coarse grained simulations of shock driven turbulent mixing

Grinstein, F. F.; Saenz, J. A.; Rauenzahn, R. M.; Germano, M.; Israel, D. M.

doi:10.1016/j.compfluid.2020.104430

Dynamic bridging modeling for coarse grained simulations of shock driven turbulent mixing

Journal Article · Fri Jan 10 00:00:00 EST 2020 · Computers and Fluids

DOI:https://doi.org/10.1016/j.compfluid.2020.104430· OSTI ID:2346068

^[1]; Saenz, J. A. ^[1]; Rauenzahn, R. M. ^[1]; Germano, M. ^[2]; Israel, D. M. ^[1]

Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Duke Univ., Durham, NC (United States)

Here, we focus on simulating the consequences of material interpenetration and mixing arising from perturbations at shocked material interfaces, as vorticity is introduced by the impulsive loading of shock waves, e.g., as in Inertial Confinement Fusion (ICF) capsule implosions. The flow physics is driven by flow instabilities such as Richtmyer-Meshkov, Kelvin-Helmholtz, Rayleigh-Taylor, and vortex stretching; it is capturable with both, classical large-eddy simulation (LES) and implicit LES (ILES) – where small-scale flow dynamics is presumed enslaved to the dynamics of the largest scales. Beyond the complex multiscale resolution issues of shocks and variable density turbulence, we must address the difficult problem of predicting flow transitions promoted by energy deposited at the material interfacial layers during the shock interface interactions. Transition involves unsteady large-scale coherent-structure dynamics resolvable by the coarse grained simulation but not by Reynolds-Averaged Navier-Stokes (RANS) modeling based on equilibrium turbulence assumptions and single-point-closures. We describe a dynamic blended hybrid RANS/LES bridging strategy for applications involving variable-density turbulent mixing applications. We report progress testing implementation of our proposed computational paradigm for relevant canonical problems, in the context of LANL’s xRAGE Eulerian hydrodynamics and BHR unsteady RANS code. Proof-of-concept cases include the Taylor-Green vortex – prototyping transition to turbulence, and a shock tube experiment – prototyping shock-driven turbulent mixing.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2346068

Alternate ID(s):: OSTI ID: 1592490

Report Number(s):: LA-UR--19-23039

Journal Information:: Computers and Fluids, Journal Name: Computers and Fluids Vol. 199; ISSN 0045-7930

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (46)

Turbulent mixing in spherical implosions Youngs, David L.; Williams, Robin J. R. International Journal for Numerical Methods in Fluids, Vol. 56, Issue 8 https://doi.org/10.1002/fld.1594	journal	January 2008
An Analysis of Numerical Errors in Large-Eddy Simulations of Turbulence Ghosal, Sandip Journal of Computational Physics, Vol. 125, Issue 1 https://doi.org/10.1006/jcph.1996.0088	journal	April 1996
Towards the Ultimate Conservative Difference Scheme van Leer, Bram Journal of Computational Physics, Vol. 135, Issue 2 https://doi.org/10.1006/jcph.1997.5704	journal	August 1997
Investigation of a Dynamic Hybrid RANS/LES Modelling Methodology for Finite-Volume CFD Simulations Walters, D. K.; Bhushan, S.; Alam, M. F. Flow, Turbulence and Combustion, Vol. 91, Issue 3 https://doi.org/10.1007/s10494-013-9481-9	journal	July 2013
A Two-length Scale Turbulence Model for Single-phase Multi-fluid Mixing Schwarzkopf, J. D.; Livescu, D.; Baltzer, J. R. Flow, Turbulence and Combustion, Vol. 96, Issue 1 https://doi.org/10.1007/s10494-015-9643-z	journal	September 2015
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor–Green Vortex Flow Shu, Chi-Wang; Don, Wai-Sun; Gottlieb, David Journal of Scientific Computing, Vol. 24, Issue 1 https://doi.org/10.1007/s10915-004-5407-y	journal	July 2005
Efficient implementation of essentially non-oscillatory shock-capturing schemes Shu, Chi-Wang; Osher, Stanley Journal of Computational Physics, Vol. 77, Issue 2 https://doi.org/10.1016/0021-9991(88)90177-5	journal	August 1988
Direct simulation of three-dimensional turbulence in the Taylor–Green vortex Brachet, M. E. Fluid Dynamics Research, Vol. 8, Issue 1-4 https://doi.org/10.1016/0169-5983(91)90026-F	journal	October 1991
Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations Grinstein, F. F.; Saenz, J. A.; Dolence, J. C. Computers & Mathematics with Applications, Vol. 78, Issue 2 https://doi.org/10.1016/j.camwa.2018.05.008	journal	July 2019
On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes Guillard, Hervé; Murrone, Angelo Computers & Fluids, Vol. 33, Issue 4 https://doi.org/10.1016/j.compfluid.2003.07.001	journal	May 2004
Initial conditions and modeling for simulations of shock driven turbulent material mixing Grinstein, Fernando F. Computers & Fluids, Vol. 151 https://doi.org/10.1016/j.compfluid.2016.11.003	journal	June 2017
An improved reconstruction method for compressible flows with low Mach number features Thornber, B.; Mosedale, A.; Drikakis, D. Journal of Computational Physics, Vol. 227, Issue 10 https://doi.org/10.1016/j.jcp.2008.01.036	journal	May 2008
High-order conservative reconstruction schemes for finite volume methods in cylindrical and spherical coordinates Mignone, A. Journal of Computational Physics, Vol. 270 https://doi.org/10.1016/j.jcp.2014.04.001	journal	August 2014
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I Zhou, Ye Physics Reports, Vol. 720-722 https://doi.org/10.1016/j.physrep.2017.07.005	journal	December 2017
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II Zhou, Ye Physics Reports, Vol. 723-725 https://doi.org/10.1016/j.physrep.2017.07.008	journal	December 2017
Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock Hill, D. J.; Pantano, C.; Pullin, D. I. Journal of Fluid Mechanics, Vol. 557 https://doi.org/10.1017/S0022112006009475	journal	June 2006
Small-scale structure of the Taylor–Green vortex Brachet, Marc E.; Meiron, Daniel I.; Orszag, Steven A. Journal of Fluid Mechanics, Vol. 130, Issue -1 https://doi.org/10.1017/S0022112083001159	journal	May 1983
Turbulence: the filtering approach Germano, M. Journal of Fluid Mechanics, Vol. 238 https://doi.org/10.1017/S0022112092001733	journal	May 1992
The mixing transition in turbulent flows Dimotakis, Paul E. Journal of Fluid Mechanics, Vol. 409 https://doi.org/10.1017/S0022112099007946	journal	April 2000
Observation of mix in a compressible plasma in a convergent cylindrical geometry Barnes, Cris W.; Batha, S. H.; Dunne, A. M. Physics of Plasmas, Vol. 9, Issue 11 https://doi.org/10.1063/1.1511730	journal	November 2002
Modeling shock unsteadiness in shock/turbulence interaction Sinha, Krishnendu; Mahesh, Krishnan; Candler, Graham V. Physics of Fluids, Vol. 15, Issue 8 https://doi.org/10.1063/1.1588306	journal	August 2003
Unification and extension of the similarity scaling criteria and mixing transition for studying astrophysics using high energy density laboratory experiments or numerical simulations Zhou, Ye Physics of Plasmas, Vol. 14, Issue 8 https://doi.org/10.1063/1.2739439	journal	August 2007
Grid-independent large-eddy simulation using explicit filtering Bose, Sanjeeb T.; Moin, Parviz; You, Donghyun Physics of Fluids, Vol. 22, Issue 10 https://doi.org/10.1063/1.3485774	journal	October 2010
Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments Grinstein, F. F.; Gowardhan, A. A.; Wachtor, A. J. Physics of Fluids, Vol. 23, Issue 3 https://doi.org/10.1063/1.3555635	journal	March 2011
Richtmyer–Meshkov turbulent mixing arising from an inclined material interface with realistic surface perturbations and reshocked flow Hahn, M.; Drikakis, D.; Youngs, D. L. Physics of Fluids, Vol. 23, Issue 4 https://doi.org/10.1063/1.3576187	journal	April 2011
A dynamic hybrid Reynolds-averaged Navier Stokes–Large eddy simulation modeling framework Bhushan, S.; Walters, D. K. Physics of Fluids, Vol. 24, Issue 1 https://doi.org/10.1063/1.3676737	journal	January 2012
Implicit large-eddy simulation of passive scalar mixing in statistically stationary isotropic turbulence Wachtor, A. J.; Grinstein, F. F.; DeVore, C. R. Physics of Fluids, Vol. 25, Issue 2 https://doi.org/10.1063/1.4783924	journal	February 2013
Two classes of Richtmyer-Meshkov instabilities: A detailed statistical look Ristorcelli, J. R.; Gowardhan, A. A.; Grinstein, F. F. Physics of Fluids, Vol. 25, Issue 4 https://doi.org/10.1063/1.4802039	journal	April 2013
A dynamic subgrid‐scale eddy viscosity model Germano, Massimo; Piomelli, Ugo; Moin, Parviz Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 7 https://doi.org/10.1063/1.857955	journal	July 1991
Differential filters for the large eddy numerical simulation of turbulent flows Germano, M. Physics of Fluids, Vol. 29, Issue 6 https://doi.org/10.1063/1.865649	journal	January 1986
A comparison of two dynamic subgrid closure methods for turbulent thermal convection Wong, V. C.; Lilly, D. K. Physics of Fluids, Vol. 6, Issue 2 https://doi.org/10.1063/1.868335	journal	February 1994
A statistical formulation of the dynamic model Germano, M. Physics of Fluids, Vol. 8, Issue 2 https://doi.org/10.1063/1.868841	journal	February 1996
Simulation of transition and turbulence decay in the Taylor–Green vortex Drikakis, Dimitris; Fureby, Christer; Grinstein, Fernando F. Journal of Turbulence, Vol. 8 https://doi.org/10.1080/14685240701250289	journal	January 2007
Reynolds-averaged Navier–Stokes initialization and benchmarking in shock-driven turbulent mixing Haines, Brian M.; Grinstein, Fernando F.; Schwarzkopf, John D. Journal of Turbulence, Vol. 14, Issue 2 https://doi.org/10.1080/14685248.2013.779380	journal	February 2013
The RAGE radiation-hydrodynamic code Gittings, Michael; Weaver, Robert; Clover, Michael Computational Science & Discovery, Vol. 1, Issue 1 https://doi.org/10.1088/1749-4699/1/1/015005	journal	October 2008
Estimating the effective Reynolds number in implicit large-eddy simulation Zhou, Ye; Grinstein, Fernando F.; Wachtor, Adam J. Physical Review E, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevE.89.013303	journal	January 2014
Modeling of Rayleigh-Taylor mixing using single-fluid models Kokkinakis, Ioannis W.; Drikakis, Dimitris; Youngs, David L. Physical Review E, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevE.99.013104	journal	January 2019
A Methodology for Simulating Compressible Turbulent Flows Fasel, Hermann F.; von Terzi, Dominic A.; Sandberg, Richard D. Journal of Applied Mechanics, Vol. 73, Issue 3 https://doi.org/10.1115/1.2150231	journal	September 2005
Partially-Averaged Navier-Stokes Model for Turbulence: A Reynolds-Averaged Navier-Stokes to Direct Numerical Simulation Bridging Method Girimaji, Sharath S. Journal of Applied Mechanics, Vol. 73, Issue 3 https://doi.org/10.1115/1.2151207	journal	November 2005
Development of a Continuous Model for Simulation of Turbulent Flows Yousuff Hussaini, M.; Thangam, Siva; Woodruff, Stephen L. Journal of Applied Mechanics, Vol. 73, Issue 3 https://doi.org/10.1115/1.2173006	journal	November 2005
Glimm’s Method for Gas Dynamics Colella, Phillip SIAM Journal on Scientific and Statistical Computing, Vol. 3, Issue 1 https://doi.org/10.1137/0903007	journal	March 1982
Detached-Eddy Simulation Spalart, Philippe R. Annual Review of Fluid Mechanics, Vol. 41, Issue 1 https://doi.org/10.1146/annurev.fluid.010908.165130	journal	January 2009
Turbulence transport equations for variable-density turbulence and their relationship to two-field models Besnard, D.; Harlow, F. H.; Rauenzahn, R. M. https://doi.org/10.2172/7271399	report	June 1992
Role of Initial Conditions in Establishing Asymptotic Flow Behavior George, William K.; Davidson, Lars AIAA Journal, Vol. 42, Issue 3 https://doi.org/10.2514/1.3459	journal	March 2004
Turbulence Modeling for Time-Dependent RANS and VLES: A Review Speziale, Charles G. AIAA Journal, Vol. 36, Issue 2 https://doi.org/10.2514/2.7499	journal	February 1998
Comment on 'Turbulence modeling for time-dependent RANS and VLES - A review' Germano, M. AIAA Journal, Vol. 36 https://doi.org/10.2514/3.14045	journal	January 1998

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