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This paper describes the development, application and comparison of two different non-linear numerical codes, respectively based on a 1D and 3D schematization of the geometrical domain, for the prediction of the acoustic behavior of common silencing devices for i.c. engine pulse noise abatement. A white noise approach has been adopted and applied to predict the attenuation curves of silencers in the frequency domain, while a non-reflecting boundary condition was used to represent an anechoic termination. Expansion chambers, Helmholtz and column resonators, Herschel-Quincke tubes have been simulated by both the 1D and the 3D codes and the results compared to the available linear acoustic analytical solutions. Finally, a hybrid approach, in which the CFD code has been integrated with the 1D model, is described and applied to the simulation of a single cylinder engine. The computed results are compared to the measured pressure waves and emitted sound pressure level spectra.