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Title: A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics

Abstract

Hourglassing is a well-known pathological numerical artifact affecting the robustness and accuracy of Lagrangian methods. There exist a large number of hourglass control/suppression strategies. In the community of the staggered compatible Lagrangian methods, the approach of sub-zonal pressure forces is among the most widely used. However, this approach is known to add numerical strength to the solution, which can cause potential problems in certain types of simulations, for instance in simulations of various instabilities. To avoid this complication, we have adapted the multi-scale residual-based stabilization typically used in the finite element approach for staggered compatible framework. In this study, we describe two discretizations of the new approach and demonstrate their properties and compare with the method of sub-zonal pressure forces on selected numerical problems.

Authors:
 [1];  [2]; ORCiD logo [3];  [4]
  1. Czech Technical Univ. in Prague, Praha (Czech Republic)
  2. Duke Univ., Durham, NC (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Univ. of Bordeaux, Talence (France)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1408834
Report Number(s):
LA-UR-17-20298
Journal ID: ISSN 0021-9991; TRN: US1703075
Grant/Contract Number:
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 354; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Multi-material hydrodynamics; Lagrangian methods; Compatible staggered discretization; Hourglass treatment

Citation Formats

Kucharik, M., Scovazzi, Guglielmo, Shashkov, Mikhail Jurievich, and Loubere, Raphael. A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. United States: N. p., 2017. Web. doi:10.1016/j.jcp.2017.10.050.
Kucharik, M., Scovazzi, Guglielmo, Shashkov, Mikhail Jurievich, & Loubere, Raphael. A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. United States. doi:10.1016/j.jcp.2017.10.050.
Kucharik, M., Scovazzi, Guglielmo, Shashkov, Mikhail Jurievich, and Loubere, Raphael. Sat . "A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics". United States. doi:10.1016/j.jcp.2017.10.050.
@article{osti_1408834,
title = {A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics},
author = {Kucharik, M. and Scovazzi, Guglielmo and Shashkov, Mikhail Jurievich and Loubere, Raphael},
abstractNote = {Hourglassing is a well-known pathological numerical artifact affecting the robustness and accuracy of Lagrangian methods. There exist a large number of hourglass control/suppression strategies. In the community of the staggered compatible Lagrangian methods, the approach of sub-zonal pressure forces is among the most widely used. However, this approach is known to add numerical strength to the solution, which can cause potential problems in certain types of simulations, for instance in simulations of various instabilities. To avoid this complication, we have adapted the multi-scale residual-based stabilization typically used in the finite element approach for staggered compatible framework. In this study, we describe two discretizations of the new approach and demonstrate their properties and compare with the method of sub-zonal pressure forces on selected numerical problems.},
doi = {10.1016/j.jcp.2017.10.050},
journal = {Journal of Computational Physics},
number = C,
volume = 354,
place = {United States},
year = {Sat Oct 28 00:00:00 EDT 2017},
month = {Sat Oct 28 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
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