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On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics

Authors
Journal
Computer Methods in Applied Mechanics and Engineering
0045-7825
Publisher
Elsevier
Publication Date
Volume
198
Identifiers
DOI: 10.1016/j.cma.2009.06.002
Keywords
  • Angular Momentum Conservation
  • Incremental Objectivity
  • Predictor/Multi-Corrector Algorithm
  • Mid-Point Time Integrator
  • Lagrangian Shock Hydrodynamics
  • Staggered Formulation
Disciplines
  • Computer Science

Abstract

Abstract This article presents an analysis of the global angular momentum conservation and objectivity properties for a predictor/multi-corrector scheme often used in shock hydrodynamics computations in combination with staggered spatial discretizations. As the number of iterations increases, the numerical solution of the predictor/multi-corrector algorithm converges to that of an implicit mid-point time integrator, which preserves global angular momentum and incremental objectivity. In the case of a finite number of iterations, the order of accuracy with which these quantities are preserved is always higher than the order of accuracy of the method, and decays as Δ t 2 i , where i is the iteration index.

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