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

Publication ,  Journal Article
Love, E; Scovazzi, G
Published in: Computer Methods in Applied Mechanics and Engineering
September 1, 2009

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.

Duke Scholars

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

September 1, 2009

Volume

198

Issue

41-44

Start / End Page

3207 / 3213

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Love, E., & Scovazzi, G. (2009). On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics. Computer Methods in Applied Mechanics and Engineering, 198(41–44), 3207–3213. https://doi.org/10.1016/j.cma.2009.06.002
Love, E., and G. Scovazzi. “On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics.” Computer Methods in Applied Mechanics and Engineering 198, no. 41–44 (September 1, 2009): 3207–13. https://doi.org/10.1016/j.cma.2009.06.002.
Love E, Scovazzi G. On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics. Computer Methods in Applied Mechanics and Engineering. 2009 Sep 1;198(41–44):3207–13.
Love, E., and G. Scovazzi. “On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics.” Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 41–44, Sept. 2009, pp. 3207–13. Scopus, doi:10.1016/j.cma.2009.06.002.
Love E, Scovazzi G. On the angular momentum conservation and incremental objectivity properties of a predictor/multi-corrector method for Lagrangian shock hydrodynamics. Computer Methods in Applied Mechanics and Engineering. 2009 Sep 1;198(41–44):3207–3213.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

September 1, 2009

Volume

198

Issue

41-44

Start / End Page

3207 / 3213

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences