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Title: FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation

Abstract

In this study, we describe the software package FELIX that solves the equations of the time-dependent generator coordinate method (TDGCM) in NN-dimensions (N ≥ 1) under the Gaussian overlap approximation. The numerical resolution is based on the Galerkin finite element discretization of the collective space and the Crank–Nicolson scheme for time integration. The TDGCM solver is implemented entirely in C++. Several additional tools written in C++, Python or bash scripting language are also included for convenience. In this paper, the solver is tested with a series of benchmarks calculations. We also demonstrate the ability of our code to handle a realistic calculation of fission dynamics.

Authors:
 [1];  [2];  [2];  [3]
+ Show Author Affiliations
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); CEA, DAM, DIF, Arpajon (France)
  2. CEA, DAM, DIF, Arpajon (France)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1251024
Alternate Identifier(s):
OSTI ID: 1246500
Report Number(s):
LLNL-JRNL-670697
Journal ID: ISSN 0010-4655
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 200; Journal Issue: C; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; FELIX; finite element method; generator coordinate method; Gaussian overlap approximation; nuclear fission

Citation Formats

Regnier, D., Verriere, M., Dubray, N., and Schunck, N. FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation. United States: N. p., 2015. Web. doi:10.1016/j.cpc.2015.11.013.
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Regnier, D., Verriere, M., Dubray, N., & Schunck, N. FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation. United States. https://doi.org/10.1016/j.cpc.2015.11.013
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Regnier, D., Verriere, M., Dubray, N., and Schunck, N. Mon . "FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation". United States. https://doi.org/10.1016/j.cpc.2015.11.013. https://www.osti.gov/servlets/purl/1251024.
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@article{osti_1251024,
title = {FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation},
author = {Regnier, D. and Verriere, M. and Dubray, N. and Schunck, N.},
abstractNote = {In this study, we describe the software package FELIX that solves the equations of the time-dependent generator coordinate method (TDGCM) in NN-dimensions (N ≥ 1) under the Gaussian overlap approximation. The numerical resolution is based on the Galerkin finite element discretization of the collective space and the Crank–Nicolson scheme for time integration. The TDGCM solver is implemented entirely in C++. Several additional tools written in C++, Python or bash scripting language are also included for convenience. In this paper, the solver is tested with a series of benchmarks calculations. We also demonstrate the ability of our code to handle a realistic calculation of fission dynamics.},
doi = {10.1016/j.cpc.2015.11.013},
journal = {Computer Physics Communications},
number = C,
volume = 200,
place = {United States},
year = {Mon Nov 30 00:00:00 EST 2015},
month = {Mon Nov 30 00:00:00 EST 2015}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.cpc.2015.11.013
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Cited by: 19 works
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Figures / Tables:

Figure 1 Figure 1: Definition of the reference simplex for a 2-dimensional mesh
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Works referenced in this record:

Prompt Fission Neutron Spectrum Uncertainty Propagation Using Polynomial Chaos Expansion
journal, October 2013

  • Rising, M. E.; Prinja, A. K.; Talou, P.
  • Nuclear Science and Engineering, Vol. 175, Issue 2
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Nuclear energy density optimization: Shell structure
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Nuclear fission modes and fragment mass asymmetries in a five-dimensional deformation space
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  • Möller, P.; Madland, D. G.; Sierk, A. J.
  • Nature, Vol. 409, Issue 6822
  • DOI: 10.1038/35057204

Microscopic calculation of Pu 240 scission with a finite-range effective force
journal, November 2009

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journal, October 2012

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journal, September 1999

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journal, November 1977

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  • Freund, Roland W.
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Quadrupole collective inertia in nuclear fission: Cranking approximation
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    Works referencing / citing this record:

    Microscopic theory of nuclear fission: a review
    journal, October 2016

    Number of particles in fission fragments
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    Fission fragment charge and mass distributions in Pu 239 ( n , f ) in the adiabatic nuclear energy density functional theory
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    Microscopic self-consistent description of induced fission dynamics: Finite-temperature effects
    journal, January 2019

    From asymmetric to symmetric fission in the fermium isotopes within the time-dependent generator-coordinate-method formalism
    journal, February 2019

    Time-dependent generator-coordinate-method study of mass-asymmetric fission of actinides
    journal, May 2019

    Microscopic Theory of Nuclear Fission: A Review
    text, January 2015

    The Time-Dependent Generator Coordinate Method in Nuclear Physics
    journal, July 2020

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      Figures / Tables found in this record:

      Figure 1 (p. 8)figure
      Figure 2 (p. 9)figure
      Table 1 (p. 9)table
      Table 2 (p. 9)table
      Figure 3 (p. 10)figure
      Figure 4 (p. 10)figure
      Figure 5 (p. 10)figure
      Figure 6 (p. 11)figure
      Figure 7 (p. 11)figure
      Figure 8 (p. 13)figure
      Figure 9 (p. 13)figure
      Table 3 (p. 13)table
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