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Energy-Conserving Algorithms for a Corotational Formulation

Salomon, Julien; Weiss, Alexander; Wohlmuth, Barbara (2008), Energy-Conserving Algorithms for a Corotational Formulation, SIAM Journal on Numerical Analysis, 46, 4, p. 1842-1866. http://dx.doi.org/10.1137/060669863

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Type
Article accepté pour publication ou publié
Date
2008
Journal name
SIAM Journal on Numerical Analysis
Volume
46
Number
4
Publisher
SIAM
Pages
1842-1866
Publication identifier
Metadata
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Author(s)
Salomon, Julien
Weiss, Alexander
Wohlmuth, Barbara
Abstract (EN)
Standard nonlinear schemes for the the simulation of elastodynamic problems have several shortcomings when considering high-speed rotations. To tackle these problems, we use a corotational framework and a corresponding specific linearization to design new energy-conserving numerical schemes. In the two-dimensional case, an algorithm preserving also angular momentum is presented. The existence of a solution for the fully discrete setting of this algorithm is established. Numerical results illustrate the flexibility and efficiency of the proposed algorithms.
Subjects / Keywords
energy-conservative schemes; elastodynamic; corotational formulation; small strains; large displacements