Microstructured materials, such as architectured metamaterials and phononic crystals, exhibit complex wave propagation phenomena because of their internal structure. Although full-scale numerical simulations can capture these effects, they are computationally demanding, especially in time-domain analyses. To overcome this limitation, effective continuum models have been developed to approximate the macroscopic behavior of these materials while retaining key microscale effects [1,2]. In order to investigate the dynamic response of microstructured materials, we focus on their effective micromorphic counterparts, and we compare direct numerical simulations of discrete microstructures with predictions from micromorphic models to assess their accuracy in capturing these phenomena. Our findings provide new insights into the applicability and limitations of micromorphic models in dynamics, contributing to the development of improved predictive tools for metamaterial design and engineering applications. REFERENCES [1] G. Rizzi, M.V. d’Agostino, J. Voss, D. Bernardini, P. Neff, A. Madeo (2024). From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials. European Journal of Mechanics-A/Solids, 106, 105269. [2] J. Voss, G. Rizzi, P. Neff, A. Madeo (2023). Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach. Mathematics and Mechan- ics of Solids, 28(10), 2177-2201.