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


Journal Article

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 t2 i, where i is the iteration index. © 2009 Elsevier B.V. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Love, E; Scovazzi, G

Published Date

  • September 1, 2009

Published In

Volume / Issue

  • 198 / 41-44

Start / End Page

  • 3207 - 3213

International Standard Serial Number (ISSN)

  • 0045-7825

Digital Object Identifier (DOI)

  • 10.1016/j.cma.2009.06.002

Citation Source

  • Scopus