Microscopic origin of self-similarity in granular blast waves

Abstract

The self-similar expansion of a blast wave, well-studied in air, has peculiar counterparts in dense and dissipative media such as granular gases. Recent results have shown that, while the traditional Taylor-von Neumann-Sedov (TvNS) derivation is not applicable to such granular blasts, they can nevertheless be well understood via a combination of microscopic and hydrodynamic insights. In this article, we provide a detailed analysis of these methods associating Molecular Dynamics simulations and continuum equations, which successfully predict hydrodynamic profiles, scaling properties and the instability of the self-similar solution. We also present new results for the energy conserving case, including the particle-level analysis of the classic TvNS solution and its breakdown at higher densities.

47 pages, 9 figures Supplementary Materials: 2 appendices, 3 figures

References in corpus (3)

• Blast dynamics in a dissipative gas
• Shock Propagation in Granular Flow Subjected to an External Impact
• Evolution and stability of shock waves in dissipative gases characterized by activated inelastic collisions

Cited by in corpus (5)

• Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics
• The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
• Blast waves in the zero temperature hard sphere gas: double scaling structure
• Blast waves in two and three dimensions: Euler versus Navier Stokes equations
• Surface band segregation and internal convection in rotating sphere densely filled with granular material: Experiments