Wave propagation analysis with adaptive time integration parameters
Delfim Soares Jr1; Danielle R de Medeiros Leal1
1 Universidade Federal de Juiz de Fora
doi:10.20906/CPS/CILAMCE2015-0090
Resumo
In this work, a new explicit time-marching technique is presented for wave propagation analyses, which is based on adaptive time integrators. In this novel approach, the properties of the time integration methodology are modified at each time-step, according to the computed solution. Thus, numerical damping can be locally and adaptively introduced, allowing spurious modes to be properly eliminated without significantly affecting the accuracy of the main modes of the model. In addition, multiple time-steps are adaptively computed, according to the local properties of the model, ensuring stability and efficiency to the explicit analysis in focus. The technique is direct (i.e., non-iterative) and very effective: the renew of the time integration parameters are evaluated once for each time step and independently for each spatial discretization subdomain (local attribution), enabling specific features to be activated locally along time and space. At the end of the paper, numerical results are presented, illustrating the performance and potentialities of the proposed approach.
Palavras-chave: Time Integration Methods; Explicit Analysis; Wave Propagation; Adaptive Dissipation Control; Subcycling; Finite Element Method