Numerical computation of wave propagation in dynamic materials Original Research Article

A higher-order numerical method on a moving grid is used to investigate wave propagation through a one-dimensional dynamic material. Dynamic materials are heterogeneous formations assembled from materials which are distributed on a microscale in space and in time. This concept was introduced in recent research of K. Lurie (1997, 1998, 1999). In particular, we consider wave motion through a material whose property value pattern is a piecewise discontinuous, fast periodic function traveling with constant velocity. In the analytical work of K. Lurie, it was found that by appropriately controlling the design factors of a dynamic composite, it is possible to selectively screen large domains in space–time from the invasion of long wave disturbances. In this paper, we perform direct numerical simulations which validate Lurieʹs homogenization results, and present numerical examples to illustrate this screening effect.