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Stability and accuracy of differencing methods for viscoplastic models in wavecodes

Journal Article · · Journal of Computational Physics; (United States)
 [1]
  1. Sandia National Labs., Albuquerque, NM (United States)
The numerical stability and truncation error of a family of differencing schemes for viscoplastic constitutive relations in wavecodes is investigated. A von Neumann stability analysis is performed for a one-dimensional model problem. This analysis identifies two differencing methods that have no restriction on the time step size beyond the usual Courant-Friedrichs-Lewy condition. One of these methods is first-order accurate, and the other is second-order accurate. Implementation of one of these methods in the three-dimensional wavecode CTH is discussed.
DOE Contract Number:
AC04-76DP00789
OSTI ID:
6633203
Journal Information:
Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 104:1; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English