Improved non-local electron thermal transport model for two-dimensional radiation hydrodynamics simulations

An implicit, non-local thermal conduction algorithm based on the algorithm developed by Schurtz, Nicolai, and Busquet (SNB) [Schurtz et al., Phys. Plasmas 7, 4238 (2000)] for non-local electron transport is presented and has been implemented in the radiation-hydrodynamics code DRACO. To study the model's effect on DRACO's predictive capability, simulations of shot 60 303 from OMEGA are completed using the iSNB model, and the computed shock speed vs. time is compared to experiment. Temperature outputs from the iSNB model are compared with the non-local transport model of Goncharov et al. [Phys. Plasmas 13, 012702 (2006)]. Effects on adiabat are also examined in a polar drive surrogate simulation. Results show that the iSNB model is not only capable of flux-limitation but also preheat prediction while remaining numerically robust and sacrificing little computational speed. Additionally, the results provide strong incentive to further modify key parameters within the SNB theory, namely, the newly introduced non-local mean free path. This research was supported by the Laboratory for Laser Energetics of the University of Rochester.

[1]  A. R. Bell,et al.  An implicit Vlasov-Fokker-Planck code to model non-local electron transport in 2-D with magnetic fields , 2004 .

[2]  Bell,et al.  Two-dimensional nonlocal electron transport in laser-produced plasmas. , 1988, Physical review letters.

[3]  Vladimir T. Tikhonchuk,et al.  Comparison for non-local hydrodynamic thermal conduction models , 2013 .

[4]  C Stoeckl,et al.  Time-dependent electron thermal flux inhibition in direct-drive laser implosions. , 2003, Physical review letters.

[5]  J. A. Marozas,et al.  Velocity and Timing of Multiple Spherically Converging Shock Waves in Liquid Deuterium , 2011 .

[6]  S. Skupsky,et al.  Early stage of implosion in inertial confinement fusion: Shock timing and perturbation evolution , 2006 .

[7]  A. R. Bell,et al.  Electron energy transport in ion waves and its relevance to laser‐produced plasmas , 1983 .

[8]  R. G. Evans,et al.  Electron energy transport in steep temperature gradients in laser-produced plasmas , 1981 .

[9]  J. Delettrez.  Thermal electron transport in direct-drive laser fusion , 1986 .

[10]  P. A. Norreys,et al.  A Vlasov-Fokker-Planck code for high energy density physics , 2011, J. Comput. Phys..

[11]  J. Meyer-ter-Vehn,et al.  The physics of inertial fusion - Hydrodynamics, dense plasma physics, beam-plasma interaction , 2004 .

[12]  Denis G. Colombant,et al.  The development of a Krook model for nonlocal transport in laser produced plasmas. I. Basic theory , 2008 .

[13]  Denis G. Colombant,et al.  The development of a Krook model for nonlocal transport in laser produced plasmas. II. Application of the theory and comparisons with other models , 2008 .

[14]  Guy Schurtz,et al.  A nonlocal electron conduction model for multidimensional radiation hydrodynamics codes , 2000 .

[15]  Stefano Atzeni,et al.  Stopping and scattering of relativistic electron beams in dense plasmas and requirements for fast ignition , 2008 .

[16]  Gilbert W. Collins,et al.  Velocity and timing of multiple spherically converging shock waves in liquid deuterium. , 2011, Physical review letters.

[17]  R. Short,et al.  A practical nonlocal model for electron heat transport in laser plasmas , 1991 .

[18]  L. Spitzer,et al.  TRANSPORT PHENOMENA IN A COMPLETELY IONIZED GAS , 1953 .

[19]  J. A. Marozas,et al.  Two-dimensional simulations of plastic-shell, direct-drive implosions on OMEGA , 2004 .

[20]  J. Virmont,et al.  Nonlocal heat transport due to steep temperature gradients , 1983 .

[21]  Wallace M. Manheimer,et al.  Numerical fluid solutions for nonlocal electron transport in hot plasmas: Equivalent diffusion versus nonlocal source , 2010, J. Comput. Phys..

[22]  Denis G. Colombant,et al.  Krook model for nonthermal electron energy transport. III. Spherical configurations , 2009 .