Algorithmic properties of the midpoint predictor-corrector time integrator.
Algorithmic properties of the midpoint predictor-corrector time integration algorithm are examined. In the case of a finite number of iterations, the errors in angular momentum conservation and incremental objectivity are controlled by the number of iterations performed. Exact angular momentum conservation and exact incremental objectivity are achieved in the limit of an infinite number of iterations. A complete stability and dispersion analysis of the linearized algorithm is detailed. The main observation is that stability depends critically on the number of iterations performed.
- Research Organization:
- Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 983698
- Report Number(s):
- SAND2009-1127; TRN: US201014%%1769
- Country of Publication:
- United States
- Language:
- English
Similar Records
Direct Dynamics Simulations using Hessian-based Predictor-corrector Integration Algorithms
A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows
A massively parallel fractional step solver for incompressible flows
Journal Article
·
Mon Jan 29 00:00:00 EST 2007
· Journal of Chemical Physics
·
OSTI ID:983698
+2 more
A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows
Journal Article
·
Sun May 01 00:00:00 EDT 1994
· IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States)
·
OSTI ID:983698
A massively parallel fractional step solver for incompressible flows
Journal Article
·
Sun Sep 20 00:00:00 EDT 2009
· Journal of Computational Physics
·
OSTI ID:983698