Attenuation of Blast-waves is the main goal of every protection facility and thus has been widely investigated during the past hundreds years. Several options have been proposed [1,2], such as a change of geometry along the path of the wave, the use of rigid barriers along the wave path, or the use of a specific medium which the wave propagates in. In the latter option, aqueous foams are
shown to be a promising solution to induce a strong shock mitigation [3].

Several experimental and numerical results have been proposed in the litterature to study the shock mitigation in such aqueous foams [4], specifically by relying the expansion ratio of the foam to the positive impulse of the detonation. We propose in this presentation to describe both a new physical model and a numerical scheme in order to investigate numerically the mitigation of blast waves in aqueous foams [5]. Preliminary, we compare the evolution of the shock amplitude as a function of time in the well-known Sedov problem in the cases of air and aqueous foams, in order to show the influence of the expansion ratio. We'll then show that there exists, for given detonation properties,
an optimal expansion ratio that induces the strongest mitigation. Finally, we'll propose a short comparison between experimental results and numerical results.

[1] O. Igra, J.Falcovitz, L.Houas, G.Jourdan, Progress in Aerospace Sciences 58 (2013) 1-35
[2] M. Olim, G. Ben-Dor, M. Mond, O. Igra, Fluid Dynamics Research 6 (1990) 185-199
[3] R. Raspet, S. K. Griffiths, J. M. Powers, H. Krier, T. D. Panczak, P. Barry Butler, F. Jahani, USA-CERL Technical manuscript N-89/01 (1988) 1-69
[4] Emilie Del Prete, Choc et onde de souffle dans les mousses aqueuses. Etude expérimentale et modélisation numérique, Phd Thesis, 2012.
[5] S.Faure, J.-M. Ghidaglia, European Journal of Mechanics B/fluids 30 (2011) 341-359