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

Kucharik, M.; Scovazzi, Guglielmo; Shashkov, Mikhail Jurievich; Loubere, Raphael

doi:10.1016/j.jcp.2017.10.050

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

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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:

Kucharik, M. ^[1]; Scovazzi, Guglielmo ^[2];

^[3]; Loubere, Raphael ^[4]

Czech Technical Univ. in Prague, Praha (Czech Republic)
Duke Univ., Durham, NC (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Bordeaux, Talence (France)

Publication Date:: Sat Oct 28 00:00:00 EDT 2017

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1408834

Alternate Identifier(s):: OSTI ID: 1576606

Report Number(s):: LA-UR-17-20298
Journal ID: ISSN 0021-9991; TRN: US1703075

Grant/Contract Number:: AC52-06NA25396

Resource Type:: 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.

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                    Kucharik, M., Scovazzi, Guglielmo, Shashkov, Mikhail Jurievich, & Loubere, Raphael. A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics.  United States.  https://doi.org/10.1016/j.jcp.2017.10.050

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                    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.  https://doi.org/10.1016/j.jcp.2017.10.050.  https://www.osti.gov/servlets/purl/1408834.

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@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}

}

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