• Matter and Radiation at Extremes
  • Vol. 7, Issue 2, 026902 (2022)
C. Samulski1, B. Srinivasan1, M. J.-E. Manuel2, R. Masti1, J. P. Sauppe3, and J. Kline3
Author Affiliations
  • 1Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24060, USA
  • 2General Atomics, P.O. Box 85608, San Diego, California 92186, USA
  • 3Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545, USA
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    DOI: 10.1063/5.0062168 Cite this Article
    C. Samulski, B. Srinivasan, M. J.-E. Manuel, R. Masti, J. P. Sauppe, J. Kline. Deceleration-stage Rayleigh–Taylor growth in a background magnetic field studied in cylindrical and Cartesian geometries[J]. Matter and Radiation at Extremes, 2022, 7(2): 026902 Copy Citation Text show less

    Abstract

    Experiments have identified the Rayleigh–Taylor (RT) instability as one of the greatest obstacles to achieving inertial confinement fusion. Consequently, mitigation strategies to reduce RT growth and fuel–ablator mixing in the hotspot during the deceleration phase of the implosion are of great interest. In this work, the effect of seed magnetic fields on deceleration-phase RT growth are studied in planar and cylindrical geometries under conditions relevant to the National Ignition Facility (NIF) and Omega experiments. The magnetohydrodynamic (MHD) and resistive-MHD capabilities of the FLASH code are used to model imploding cylinders and planar blast-wave-driven targets. Realistic target and laser parameters are presented that suggest the occurrence of morphological differences in late-time RT evolution in the cylindrical NIF case and a measurable difference in spike height of single-mode growth in the planar NIF case. The results of this study indicate the need for target designs to utilize an RT-unstable foam–foam interface in order to achieve sufficient magnetic field amplification to alter RT evolution. Benchmarked FLASH simulations are used to study these magnetic field effects in both resistive and ideal MHD.
    γB2=gkAt2B2k2cos2θμ0(ρ2ρ1),

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    ρt+(ρu)=0,

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    uρt+(ρuu)+P=ρg,

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    ρEt+[(ρE+P)u]=ρug,

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    ρt+(ρu)=0,

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    ρut+[(ρu)uBB]+p*=ρg,

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    ρEt+[uρE+p*B(uB)]=ρgu+(σT)+[B×(η×B)],

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    Bt+(uBBu)=×(η×B),

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    p*=p+B22,

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    E=12u2+ϵ+12B2ρ,

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    ρϵt+[(ρϵ+P)u]uP=0.

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    η=melee2neleτele,

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    η=η1.96,

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    Rm=ULD,

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    ηest=3.3×109ZilnΛTe3/2,

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    C. Samulski, B. Srinivasan, M. J.-E. Manuel, R. Masti, J. P. Sauppe, J. Kline. Deceleration-stage Rayleigh–Taylor growth in a background magnetic field studied in cylindrical and Cartesian geometries[J]. Matter and Radiation at Extremes, 2022, 7(2): 026902
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