Transient hyperbolic analyses considering a fully adaptive explicit time- marching formulation

Resumo

This work presents an explicit formulation with adaptive time integrators, enhanced by sub-cycling, for
time domain analyses of hyperbolic models. The method is based on single-step displacement-velocity relations,

describing a truly self-starting, easy to implement technique. Its stability limit is the same as of the central differ-
ence method and it provides adaptive controllable numerical dissipation. Since the technique is explicit, it does

not need to consider any solver routine, standing as a very efficient methodology. Subdomain decomposition pro-
cedures, associated to multiple time-steps and sub-cycling, are also considered herein to improve the performance

of the formulation. In this case, a generic methodology is discussed, in which subdomain divisions and local time-
step values are automatically evaluated. At the end of the paper, numerical results are presented in comparison to

those of the central difference method and the explicit generalized α method, illustrating the effectiveness of the
discussed approach.