On the Optimal Scaling of Index Three Daes in Multibody Dynamics [chapter]

Carlo L. Bottasso, Daniel Dopico, Lorenzo Trainelli
III European Conference on Computational Mechanics  
We propose a preconditioning strategy for the governing equations of multibody systems in index-3 differential-algebraic form. The method eliminates the amplification of errors and the ill conditioning which affect numerical solutions of high index differential algebraic equations for small time steps. We develop a new theoretical analysis of the perturbation problem and we apply it to the derivation of preconditioners for the Newmark family of integration schemes. The theoretical results are
more » ... tical results are confirmed by numerical experiments.
doi:10.1007/1-4020-5370-3_566 fatcat:3mzilj5hzfhtpjeokzdoa7rorm