Current
research
projects
Time
stability and invariance analysis of
staggered methods
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Previous/next topic |
Spetral
radius as a function of the
Courant and (non-dimensional)
wave numbers, for
two-iterations of the
predictor/multi-corrector.
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Recent
studies
[1] on
predictor/multi-corrector time
integrators
commonly used in
shock hydrodynamics
computations revealed a curious
phenomenon.
The odd iterates are
unconditionally unstable, while
the even are
conditionally stable. In addition,
angular momentum conservation and
incremental ojectivity properties
are studied in [2].
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| [1] |
Edward
Love,
William J. Rider, Guglielmo
Scovazzi, "Stability analysis of a
predictor/multi-corrector method
for
staggered-grid Lagrangian shock
hydrodynamics", SAND-2009-1525J,
Journal
of Computational Physics 228(20),
Nov. 2009,
pp. 7543-7564.
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| [2] |
Edward
Love,
Guglielmo
Scovazzi, "On the angular momentum
conservation and incremental
objectivity properties of a
predictor/multi-corrector method
for
Lagrangian shock hydrodynamics", SAND-2009-1526J,
Comp.
Meth.
Appl. Mech. Eng. 198(41-44),
Sept.
2009,
pp. 3207-3213.
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Guglielmo at CSRI.
Contact
E-mail: gscovaz@sandia.gov
(505) 844-0707 (Phone)
Mailing address (USPS)
Sandia National Laboratories
P.O. Box 5800, MS 1319
Albuquerque, NM 87185-1319
FedEx/UPS/DHL
Sandia National Laboratories
1515 Eubank SE,
CSRI Building, Room 140
Albuquerque, NM 87123-1319
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