Energy-Conserving Algorithms for a Corotational Formulation | Zendy

Julien Salomon | Zendy; Alexander Weiß | Zendy; Barbara Wohlmuth | Zendy

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Energy-Conserving Algorithms for a Corotational Formulation

Author(s) -

Julien Salomon,

Alexander Weiß,

Barbara Wohlmuth

Publication year - 2008

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/060669863

Subject(s) - algorithm , linearization , mathematics , nonlinear system , flexibility (engineering) , energy (signal processing) , numerical analysis , angular momentum , mathematical optimization , mathematical analysis , classical mechanics , statistics , physics , quantum mechanics

International audienceStandard 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

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