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Title: Adaptive inverse ray-tracing for accurate and efficient modeling of cross beam energy transfer in hydrodynamics simulations

Abstract

Integrated hydrodynamics simulations of inertial confinement fusion rely on reduced physics models. To reproduce experimental trends, these models often feature tuning parameters, but this comes with a risk: the over-tuning of one model can hide physics inadequacies in another. The ray-based models of cross-beam-energy transfer (CBET) represent this risk. In this paper, we present an accurate and efficient model of CBET suitable for inline implementation in 3D hydrodynamics simulations. Inverse Ray Tracing (IRT) is used to compute the ray field in a 3D permittivity profile described on an unstructured tetrahedral mesh using the Inline Field Reconstruction and Interaction using Inverse Tracing framework. CBET is accounted for through perturbations to the permittivity associated with ion acoustic waves driven by the overlapped fields. Large gradients in the permittivity are resolved by coupling the IRT to a recursive Adaptive Mesh Refinement (AMR) algorithm. The use of AMR also allows for the resolution of caustics, with accurate field reconstruction performed using the Etalon integral method. Comparisons of the model with wave-based solutions from the Laser Plasma Simulation Environment demonstrate its ability to control energy conservation and gain convergence through the AMR depth only, without the use of ad hoc physical models or artificial tuningmore » parameters.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [2]; ORCiD logo [2];  [2]
+ Show Author Affiliations
  1. Centre Lasers Intenses et Applications (CELIA) (France)
  2. Lab. for Laser Energetics, Rochester, NY (United States)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); New York State Energy Research and Development Authority; Euratom
OSTI Identifier:
1614424
Alternate Identifier(s):
OSTI ID: 1567955
Grant/Contract Number:  
NA0003856; 633053
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 7; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Hydrodynamics simulations; Ray method; Energy conservation; Adaptive mesh refinement; Laser plasma interactions

Citation Formats

Colaïtis, A., Follett, R. K., Palastro, J. P., Igumenschev, I., and Goncharov, V. Adaptive inverse ray-tracing for accurate and efficient modeling of cross beam energy transfer in hydrodynamics simulations. United States: N. p., 2019. Web. doi:10.1063/1.5108777.
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Colaïtis, A., Follett, R. K., Palastro, J. P., Igumenschev, I., & Goncharov, V. Adaptive inverse ray-tracing for accurate and efficient modeling of cross beam energy transfer in hydrodynamics simulations. United States. https://doi.org/10.1063/1.5108777
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Colaïtis, A., Follett, R. K., Palastro, J. P., Igumenschev, I., and Goncharov, V. Tue . "Adaptive inverse ray-tracing for accurate and efficient modeling of cross beam energy transfer in hydrodynamics simulations". United States. https://doi.org/10.1063/1.5108777. https://www.osti.gov/servlets/purl/1614424.
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@article{osti_1614424,
title = {Adaptive inverse ray-tracing for accurate and efficient modeling of cross beam energy transfer in hydrodynamics simulations},
author = {Colaïtis, A. and Follett, R. K. and Palastro, J. P. and Igumenschev, I. and Goncharov, V.},
abstractNote = {Integrated hydrodynamics simulations of inertial confinement fusion rely on reduced physics models. To reproduce experimental trends, these models often feature tuning parameters, but this comes with a risk: the over-tuning of one model can hide physics inadequacies in another. The ray-based models of cross-beam-energy transfer (CBET) represent this risk. In this paper, we present an accurate and efficient model of CBET suitable for inline implementation in 3D hydrodynamics simulations. Inverse Ray Tracing (IRT) is used to compute the ray field in a 3D permittivity profile described on an unstructured tetrahedral mesh using the Inline Field Reconstruction and Interaction using Inverse Tracing framework. CBET is accounted for through perturbations to the permittivity associated with ion acoustic waves driven by the overlapped fields. Large gradients in the permittivity are resolved by coupling the IRT to a recursive Adaptive Mesh Refinement (AMR) algorithm. The use of AMR also allows for the resolution of caustics, with accurate field reconstruction performed using the Etalon integral method. Comparisons of the model with wave-based solutions from the Laser Plasma Simulation Environment demonstrate its ability to control energy conservation and gain convergence through the AMR depth only, without the use of ad hoc physical models or artificial tuning parameters.},
doi = {10.1063/1.5108777},
journal = {Physics of Plasmas},
number = 7,
volume = 26,
place = {United States},
year = {Tue Jul 30 00:00:00 EDT 2019},
month = {Tue Jul 30 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1063/1.5108777
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Citation Metrics:
Cited by: 15 works
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Figures / Tables:

FIG. 1 FIG. 1: Summary of the CBET physics test cases considered in this paper. (a) A wavefield incident onto a caustic pumps the reflected wavefield in a velocity and density profile. (b) Two beams exchange energy with infinitely sharp edges in a constant density plasma. (c) A beam interacts with itselfmore » in a spherical density profile, in high refraction rate regions and at a caustic. (d) Four-wave mixing in a spherical density profile with two beams, combining self-CBET at a high refraction rate, the caustic-wave CBET interaction, and the caustic-caustic CBET interaction.« less
All figures and tables (10 total)
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Works referenced in this record:

The role of hot electrons in the dynamics of a laser-driven strong converging shock
journal, November 2017

  • Llor Aisa, E.; Ribeyre, X.; Duchateau, G.
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Ray-based modeling of cross-beam energy transfer at caustics
journal, October 2018

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Three-wavelength scheme to optimize hohlraum coupling on the National Ignition Facility
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Real and complex valued geometrical optics inverse ray-tracing for inline field calculations
journal, March 2019

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Ablation Pressure Driven by an Energetic Electron Beam in a Dense Plasma
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A tesselation-based model for intensity estimation and laser plasma interactions calculations in three dimensions
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Tuning the Implosion Symmetry of ICF Targets via Controlled Crossed-Beam Energy Transfer
journal, January 2009

Isolating and quantifying cross-beam energy transfer in direct-drive implosions on OMEGA and the National Ignition Facility
journal, May 2016

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Doppler shift of laser light reflected from expanding plasmas
journal, January 1981

Influence of laser induced hot electrons on the threshold for shock ignition of fusion reactions
journal, July 2016

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Coupled hydrodynamic model for laser-plasma interaction and hot electron generation
journal, October 2015

A wave-based model for cross-beam energy transfer in direct-drive inertial confinement fusion
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Energy transfer between laser beams crossing in ignition hohlraums
journal, April 2009

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The role of hot electrons in the dynamics of a laser-driven strong converging shock
journal, November 2017

  • Llor Aisa, E.; Ribeyre, X.; Duchateau, G.
  • Physics of Plasmas, Vol. 24, Issue 11
  • DOI: 10.1063/1.5003814

Real and complex valued geometrical optics inverse ray-tracing for inline field calculations
journal, March 2019

  • Colaïtis, A.; Palastro, J. P.; Follett, R. K.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5082951
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    Impact of the Langdon effect on crossed-beam energy transfer
    journal, December 2019

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      Figures / Tables found in this record:

      FIG. 1 (p. 4)figure
      FIG. 2 (p. 7)figure
      TABLE I (p. 8)table
      FIG. 3. (p. 9)figure
      FIG. 4 (p. 10)figure
      FIG. 5 (p. 10)figure
      FIG. 6 (p. 11)figure
      FIG. 7 (p. 12)figure
      FIG. 8 (p. 13)figure
      FIG. 9 (p. 15)figure
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