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

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Love, E; Rider, WJ; Scovazzi, G

Published Date

  • November 1, 2009

Published In

Volume / Issue

  • 228 / 20

Start / End Page

  • 7543 - 7564

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1016/j.jcp.2009.06.042

Citation Source

  • Scopus