Blast waves in two and three dimensions: Euler versus Navier Stokes equations
arXiv:2111.09213 · doi:10.1007/s10955-022-02933-3
Abstract
The exact solution of the Euler equation, which describes the time evolution of a blast wave created by an intense explosion, is a classic problem in gas dynamics. However, it has been found that the analytical results do not match with results from molecular dynamics simulation of hard spheres in two and three dimensions. In this paper, we show that the mismatch between theory and simulations can be resolved by considering the Navier Stokes equation. From the direct numerical simulation of the Navier Stokes equation in two and three dimensions, we show that the inclusion of heat conduction and viscosity terms is essential to capture the results from molecular dynamics simulations.
arXiv comment13 pages, 7 figures
References in corpus (11)
- Molecular dynamics simulations of vibrated granular gases
- Craters Formed in Granular Beds by Impinging Jets of Gas
- Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics
- Exciting Hard Spheres
- Self-similar spherical shock solution with sustained energy injection
- The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
- Universal scaling dynamics in a perturbed granular gas
- Blast dynamics in a dissipative gas
- Microscopic origin of self-similarity in granular blast waves
- Shock Propagation in Granular Flow Subjected to an External Impact
- Shock propagation in locally driven granular systems