Multicomponent Reynolds-averaged Navier-Stokes simulations of reshocked Richtmyer-Meshkov instability-induced mixing

Moran-Lopez, J. Tiberius; Schilling, Oleg

doi:10.1016/j.hedp.2012.11.001

Multicomponent Reynolds-averaged Navier-Stokes simulations of reshocked Richtmyer-Meshkov instability-induced mixing

Journal Article · Wed Dec 05 00:00:00 EST 2012 · High Energy Density Physics

DOI:https://doi.org/10.1016/j.hedp.2012.11.001· OSTI ID:1788339

Moran-Lopez, J. Tiberius ^[1]; Schilling, Oleg ^[2]

Univ. of Michigan, Ann Arbor, MI (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

A third-order weighted essentially nonoscillatory (WENO) finite-difference implementation of a two-equation K–ε multicomponent Reynolds-averaged Navier–Stokes (RANS) model is used to simulate reshocked Richtmyer–Meshkov turbulent mixing of air and sulfur hexafluoride at incident shock Mach numbers Ma_s = 1.24, 1.50, 1.98 with Atwood number At = 0.67 and Ma_s = 1.45 with At = –0.67. The predicted mixing layer width evolutions are compared with experimental measurements of the width before and after reshock [M. Vetter, B. Sturtevant, Shock Waves 4 (1995) 247; F. Poggi, M.H. Thorembey, G. Rodriguez, Phys. Fluids 10 (1998) 2698] and with the analytical self-similar power-law solution of the simplified model equations before reshock. A new procedure is introduced for the specification of the initial turbulent kinetic energy and its dissipation rate, in which these quantities are related by the linear instability growth rate. The predicted mixing layer widths before reshock are shown to be sensitive to changes in the initial turbulent kinetic energy and its dissipation rate, while the widths after reshock are sensitive to changes in the model coefficients C_ε0 and σ_ρ appearing in the buoyancy (shock) production terms in the turbulent kinetic energy and dissipation rate equations. Here, a set of model coefficients and initial conditions is shown to predict mixing layer widths in generally good agreement with the pre-reshock experimental data, and very good agreement with the post-reshock data for all cases. Budgets of the turbulent kinetic energy equation just before and after reshock for the Ma_s = 1.24 case are used to identify the principal physical mechanisms generating turbulence in reshocked Richtmyer–Meshkov instability: buoyancy production (pressure work) and shear production. Numerical convergence of the mixing layer widths under spatial grid refinement is also demonstrated for each of the Mach numbers considered.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

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

Grant/Contract Number:: AC52-07NA27344; FC52-08NA28616

OSTI ID:: 1788339

Report Number(s):: LLNL-JRNL--560761; 622132

Journal Information:: High Energy Density Physics, Journal Name: High Energy Density Physics Journal Issue: 1 Vol. 9; ISSN 1574-1818

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Late-time growth rate, mixing, and anisotropy in the multimode narrowband Richtmyer–Meshkov instability: The θ -group collaboration Thornber, B.; Griffond, J.; Poujade, O. Physics of Fluids, Vol. 29, Issue 10 https://doi.org/10.1063/1.4993464	journal	October 2017
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Two-length-scale turbulence model for self-similar buoyancy-, shock-, and shear-driven mixing Morgan, Brandon E.; Schilling, Oleg; Hartland, Tucker A. Physical Review E, Vol. 97, Issue 1 https://doi.org/10.1103/physreve.97.013104	journal	January 2018
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