Large-eddy simulation and Reynolds-averaged Navier-Stokes modeling of a reacting Rayleigh-Taylor mixing layer in a spherical geometry

Morgan, Brandon E.; Olson, Britton J.; Black, Wolfgang J.; McFarland, Jacob A.

doi:10.1103/PhysRevE.98.033111

Title: Large-eddy simulation and Reynolds-averaged Navier-Stokes modeling of a reacting Rayleigh-Taylor mixing layer in a spherical geometry

Journal Article · Mon Sep 17 00:00:00 EDT 2018 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.98.033111· OSTI ID:1548329

Morgan, Brandon E. ^[1]; Olson, Britton J. ^[1]; Black, Wolfgang J. ^[2]; McFarland, Jacob A. ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Missouri, Columbia, MO (United States)

Tenth-order compact difference code Miranda is utilized to perform large-eddy simulation (LES) of a hydrogen gas–plastic mixing layer in a spherical geometry. Once the mixing layer has achieved self-similar growth, it is heated to 1 keV, and the second-order arbitrary Lagrangian-Eulerian (ALE) code Ares is used to simulate mixing layer evolution as it undergoes thermonuclear (TN) burn. Both premixed (in which deuterium and tritium are initially present in the gas) and nonpremixed (in which deuterium is initially present only in the plastic) variants are considered at Atwood numbers 0.05 and 0.50. The effect of turbulent mixing on mean TN reaction rate is examined, and a four-equation k – L – a – V Reynolds-averaged Navier-Stokes (RANS) model is presented. The k – L – a – V model, which represents an extension of the k – L – a model [Morgan and Wickett, Phys. Rev. E 91, 043002 (2015)] by the addition of a transport equation for the scalar mass fraction variance, is then applied in one-dimensional simulations of the reacting mixing layer under consideration. Excellent agreement is gained between LES and RANS in total TN neutron production when fluctuations in reaction cross-section can be neglected.

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

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

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1548329

Alternate ID(s):: OSTI ID: 1471160

Report Number(s):: LLNL-JRNL-750537; PLEEE8; 934407

Journal Information:: Physical Review E, Vol. 98, Issue 3; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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