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ENERGY-CONSERVING ALGORITHMS FOR A COROTATIONAL FORMULATION.
- Source :
-
SIAM Journal on Numerical Analysis . 2008, Vol. 46 Issue 4, p1842-1866. 25p. 1 Color Photograph, 5 Diagrams, 12 Graphs. - Publication Year :
- 2008
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 46
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 33217913
- Full Text :
- https://doi.org/10.1137/060669863