Wave propagation analyses considering a truly-explicit time-marching formulation

Resumo

This work discusses a truly-explicit time-marching formulation to analyse wave propagation models,
which is based on locally-defined adaptive time-integrators and time-step values. The discussed technique

considers single-step displacement/velocity recurrence relations, providing an easy to implement, truly self-
starting methodology. The stability limit of the discussed approach may become larger than that of the central

difference method, and it enables controllable adaptive numerical dissipation to be locally applied, improving the
accuracy and versatility of the solution procedure. As an explicit approach, the technique does not require the
solution of any system of equations, standing as a very efficient methodology. To solve problems regarding wave
propagation in complex media, subdomain decomposition procedures, associated to multiple time-step values and
sub-cycling, are also considered, improving the performance and accuracy of the technique. The entire formulation
is carried out taking into account automated computations, requiring no effort and/or expertise from the user. At
the end of the paper, numerical results are presented and compared to those of standard techniques, illustrating the
great effectiveness of the discussed approach.