Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520595 | Journal of Computational Physics | 2009 | 22 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
E. Love, W.J. Rider, G. Scovazzi,