skip to main content


This content will become publicly available on October 28, 2018

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

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.
 [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:
Report Number(s):
Journal ID: ISSN 0021-9991; TRN: US1703075
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 354; Journal Issue: C; Journal ID: ISSN 0021-9991
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)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Multi-material hydrodynamics; Lagrangian methods; Compatible staggered discretization; Hourglass treatment
OSTI Identifier: