Shock interaction with deformable particles using a constrained interface reinitialization scheme

Abstract

In this paper, we present axisymmetric numerical simulations of shock propagation in nitromethane over an aluminum particle for post-shock pressures up to 10 GPa. We use the Mie-Gruneisen equation of state to describe both the medium and the particle. The numerical method is a finite-volume based solver on a Cartesian grid, that allows for multi-material interfaces and shocks, and uses a novel constrained reinitialization scheme to precisely preserve particle mass and volume. We compute the unsteady inviscid drag coefficient as a function of time, and show that when normalized by post-shock conditions, the maximum drag coefficient decreases with increasing post-shock pressure. We also compute the mass-averaged particle pressure and show that the observed oscillations inside the particle are on the particle-acoustic time scale. Finally, we present simplified point-particle models that can be used for macroscale simulations. In the Appendix, we extend the isothermal or isentropic assumption concerning the point-force models to non-ideal equations of state, thus justifying their use for the current problem.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 11, 2016
Source ID
10.1063/1.4941687

Entities

People

  • Jinlun Zhang
  • P. Sridharan
  • Siddharth Thakur
  • Sivaramakrishnan Balachandar
  • T. L. Jackson

Organizations

  • Defense Threat Reduction Agency
  • Florida Institute of Technology
  • Sandia National Laboratories
  • University of Florida

Tags

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Computational Fluid Dynamics (CFD)