Wave propagation analyses considering an enhanced fully adaptive explicit time-marching formulation

Resumo

This work presents an enhanced explicit time-marching formulation to analyse hyperbolic 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 approach is twice that of the central difference method, and it

allows adaptive controllable numerical dissipation to be applied, improving the accuracy and versatility of the
method. As an explicit approach, the technique does not require the solution of any system of equations, standing
as a very efficient methodology. 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, self-adjustable 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.