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Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics

Publication ,  Journal Article
Love, E; Rider, WJ; Scovazzi, G
Published in: Journal of Computational Physics
November 1, 2009

This article presents the complete von Neumann stability analysis of a predictor/multi-corrector scheme derived from an implicit mid-point time integrator often used in shock hydrodynamics computations in combination with staggered spatial discretizations. It is shown that only even iterates of the method yield stable computations, while the odd iterates are, in the most general case, unconditionally unstable. These findings are confirmed by, and illustrated with, a number of numerical computations. Dispersion error analysis is also presented. © 2009 Elsevier Inc. All rights reserved.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

November 1, 2009

Volume

228

Issue

20

Start / End Page

7543 / 7564

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Love, E., Rider, W. J., & Scovazzi, G. (2009). Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. Journal of Computational Physics, 228(20), 7543–7564. https://doi.org/10.1016/j.jcp.2009.06.042
Love, E., W. J. Rider, and G. Scovazzi. “Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics.” Journal of Computational Physics 228, no. 20 (November 1, 2009): 7543–64. https://doi.org/10.1016/j.jcp.2009.06.042.
Love E, Rider WJ, Scovazzi G. Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. Journal of Computational Physics. 2009 Nov 1;228(20):7543–64.
Love, E., et al. “Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics.” Journal of Computational Physics, vol. 228, no. 20, Nov. 2009, pp. 7543–64. Scopus, doi:10.1016/j.jcp.2009.06.042.
Love E, Rider WJ, Scovazzi G. Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. Journal of Computational Physics. 2009 Nov 1;228(20):7543–7564.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

November 1, 2009

Volume

228

Issue

20

Start / End Page

7543 / 7564

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences