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The paper describes a novel methodology of designing granular phononiccrystals for acoustic wave manipulations. A discrete element method is utilizedto model the dynamics of a pulse wave propagating through the densely packedassembly of elastic spherical particles with an embedded phononic crystal - theregion consisting of a certain arrangement of particles with varying densities.We suggest an optimization strategy that extremizes the useful properties of agranular phononic crystal, which are described in terms of a noise-prooffunctional based on frequency-wavenumber summation of spectral energy density.Few types of efficient phononic crystals are identified. The suggestedmethodology is of interest for a number of applications, in particular, forseismic shielding and selective sound absorption.

Simulation-Guided Optimization of Granular Phononic Crystal Structure Using the Discrete Element Method