Modelling wave dispersion in fluid saturating periodic scaffolds

Acoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the homogenization (PH) method provides effective model equations for general dynamic problem imposed bounded medium, 2) harmonic acoustic an infinite medium Floquet-Bloch (FB) wave decomposition. In contrast with usual simplifications, advection phenomenon of Navier–Stokes is accounted for. For this, approximation applied to linearize term. The results based unfolding combined asymptotic expansion technique providing straight upscaling procedure which leads macroscopic defined terms parameters. These computed characteristic responses microstructure. Using FB theory, we derive dispersion scaffolds saturated by inviscid, or viscous, barotropic fluids, whereby due permanent flow structures respected. A computational study performed numerical models obtained finite element discretization. methods-based analysis, quadratic eigenvalue problems must be solved. examples show influences microstructure size and generating anisotropy dispersion.