Porous solid materials saturated by fluids with thermo-viscous dissipation are encountered in the fields of rock acoustics and soundproofing materials. Most of these materials have random microstructures. In contrast, the emerging field of dynamic acoustic metamaterials utilizes intelligently designed structures to achieve remarkable properties, e.g., for noise and vibration reduction. Microscopically, porous solids and acoustic metamaterials can strongly interact with the fluid in which they are embedded, activating the fluid-structure interaction. Macroscopically, this coupling yields neither fluid nor solid behavior but instead an effective behavior of the mixture. Biot theory has successfully predicted the macroscopic mechanical response of such porous materials under the longwave assumption wherein microscopic inertial forces are negligible. However, this assumption fails to be satisfied for locally resonant acoustic metamaterials, and a more sophisticated homogenization procedure is required. In this contribution, we propose a transient computational homogenization framework that gives rise to a generalized continuum with additional field variables to capture the underlying localized dynamics caused by the heterogeneous microstructure, i.e., going beyond longwave assumptions (Biot theory). Extending the approach proposed in [1] to interacting solid and fluid domains, the coupling between the scales is given by a variationally consistent averaging of the governing equations expressed in their weak form, i.e. a generalization of the Hill-Mandel condition. Numerical examples of fluid-structure locally resonant metamaterials demonstrate the efficiency and suitability of the proposed multiscale approach that is not limited to a plane-wave analysis, handling scattering problems, complicated geometries, and non-trivial loading conditions. [1] Sridhar, A., Kouznetsova, V.G. and Geers, M.G.D. Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum. Comput. Mech. (2016) 57(3): 423–435.