Shock interaction with deformable particles using a constrained interface reinitialization scheme

Sridharan, P.; Jackson, T. L.; Zhang, J.; Balachandar, S.; Thakur, S.

doi:10.1063/1.4941687

Title: 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.

Authors:

; Jackson, T. L.; Zhang, J.; Balachandar, S.;

Publication Date:: Thu Feb 11 00:00:00 EST 2016

Sponsoring Org.:: USDOE

OSTI Identifier:: 1421155

Grant/Contract Number:: NA0002378

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Journal of Applied Physics

Additional Journal Information:: Journal Name: Journal of Applied Physics Journal Volume: 119 Journal Issue: 6; Journal ID: ISSN 0021-8979

Publisher:: American Institute of Physics

Country of Publication:: United States

Language:: English

Citation Formats


                    Sridharan, P., Jackson, T. L., Zhang, J., Balachandar, S., and Thakur, S. Shock interaction with deformable particles using a constrained interface reinitialization scheme.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4941687.

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                    Sridharan, P., Jackson, T. L., Zhang, J., Balachandar, S., & Thakur, S. Shock interaction with deformable particles using a constrained interface reinitialization scheme.  United States.  https://doi.org/10.1063/1.4941687

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                    Sridharan, P., Jackson, T. L., Zhang, J., Balachandar, S., and Thakur, S. Thu .  
"Shock interaction with deformable particles using a constrained interface reinitialization scheme".  United States.  https://doi.org/10.1063/1.4941687.

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@article{osti_1421155,

  title        = {Shock interaction with deformable particles using a constrained interface reinitialization scheme},

  author       = {Sridharan, P. and Jackson, T. L. and Zhang, J. and Balachandar, S. and Thakur, S.},

  abstractNote = {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.},

  doi          = {10.1063/1.4941687},

  journal      = {Journal of Applied Physics},

  number       = 6,

  volume       = 119,

  place        = {United States},

  year         = {Thu Feb 11 00:00:00 EST 2016},

  month        = {Thu Feb 11 00:00:00 EST 2016}

}

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Similar Records

Title: Shock interaction with deformable particles using a constrained interface reinitialization scheme

Abstract

Citation Formats

Collective Bow Shock Ahead of a Transverse System of Spheres in a Supersonic Flow Behind a Moving Shock Wave journal, March 2004

Restoration of the contact surface in the HLL-Riemann solver journal, July 1994

Numerical modeling of shock-to-detonation transition in energetic materials journal, April 2012

Some influences of particle shape on drag and heat transfer journal, December 1990

Shock tube spherical particle accelerating study for drag coefficient determination journal, January 2003

Drag of non-spherical solid particles of regular and irregular shape journal, March 2008

Refraction of Plane Shock Waves journal, July 1947

Shock wave interaction with a cloud of particles journal, October 1997

Compressibility and Rarefaction Effects on Drag of a Spherical Particle journal, September 2008

Investigation of the acceleration of aluminum particles behind a shock wave using instantaneous Laser Doppler Velocimetry journal, February 2009

An interface capturing method for the simulation of multi-phase compressible flows journal, September 2010

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On the velocity of a rigid sphere in a sound wave journal, November 1976

Hydrodynamic Theory of the Velocity Correlation Function journal, November 1970

Interaction of a shock with a sphere suspended in a vertical shock tube journal, November 2003

Shock interaction with solid particles in condensed matter and related momentum transfer journal, March 2003

Motion of a particle behind the shock wave front journal, March 2010

Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow journal, August 1993

The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture journal, October 2007

A Simple Analytical Model for Reactive Particle Ignition in Explosives journal, October 2007

Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres journal, November 2011

Derivation of drag and lift force and torque coefficients for non-spherical particles in flows journal, March 2012

Total variation diminishing Runge-Kutta schemes journal, January 1998

A ghost fluid method for compressible reacting flows with phase change journal, February 2013

Importance of unsteady contributions to force and heating for particles in compressible flows. Part 2: Application to particle dispersal by blast waves journal, November 2011

Importance of unsteady contributions to force and heating for particles in compressible flows journal, November 2011

Shock interaction with one-dimensional array of particles in air journal, February 2015

Effective Drag Coefficient for Gas-Particle Flow in Shock Tubes journal, March 1970

Unsteady drag on a sphere by shock wave loading journal, June 2005

Shock tube investigation of quasi-steady drag in shock-particle interactions journal, December 2012

Equation of motion for a small rigid sphere in a nonuniform flow journal, January 1983

Effect of fluid compressibility on the flow caused by a sudden impulse applied to a sphere immersed in a viscous fluid journal, December 2007

Unsteady effects in dense, high speed, particle laden flows journal, May 2014

Drag Coefficients of Spheres in Continuum and Rarefied Flows journal, June 1976

Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio journal, November 2013

Der Widerstand gegen die Bewegung einer starren Kugel in einer zähen Flüssigkeit, die zwischen zwei parallelen ebenen Wänden eingeschlossen ist journal, January 1922

Drag coefficient of a sphere in a non-stationary flow: new results journal, September 2007

Hydrodynamic theory for vibrational relaxation in liquids journal, January 1977

Dust suspensions accelerated by shock waves journal, April 2000

On the equation for spherical-particle motion: effect of Reynolds and acceleration numbers journal, July 1998

On the refraction of shock waves journal, January 1989

Shock transmission and reflection from a material interface and subsequent reflection from a hard boundary report, November 1998

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On Shock-Wave Phenomena; Refraction of Shock Waves at a Gaseous Interface journal, December 1951

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A shock-tube investigation of the dynamics of gas-particle mixtures: Implications for explosive volcanic eruptions journal, January 2006

Lagrangian–Eulerian methods for multiphase flows journal, April 2013

Numerical modelling of the entrainment of particles in inviscid supersonic flow journal, April 2011

Acceleration and heating of metal particles in condensed matter detonation journal, February 2012

Inertial and viscous forces on a rigid sphere in straining flows at moderate Reynolds numbers journal, April 2003

Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number journal, April 1992

The unsteadiness of shock waves propagating through gas-particle mixtures journal, July 1985

Numerical approaches for motion of dispersed particles, droplets and bubbles journal, June 2000

A generalization of Faxén's theorem to nonsteady motion of a sphere through an incompressible fluid in arbitrary flow journal, September 1974

Modeling of particle compressibility and ignition from shock focusing journal, February 2010

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Backtracking of a sphere slowing down in a viscous compressible fluid journal, July 2005

Improved Drag Correlation for Spheres and Application to Shock-Tube Experiments journal, June 2010

Shock propagation through a perfect gas entrained with a normal distribution of fine particles journal, December 1990

Generalized Basset-Boussinesq-Oseen Equation for Unsteady Forces on a Sphere in a Compressible Flow journal, February 2011

Equation of motion for a sphere in non-uniform compressible flows journal, April 2012

Particle velocity and structures in blast waves imaged using particle image velocimetry journal, January 2010

Collective Bow Shock Ahead of a Transverse System of Spheres in a Supersonic Flow Behind a Moving Shock Wave
journal, March 2004

Restoration of the contact surface in the HLL-Riemann solver
journal, July 1994

Numerical modeling of shock-to-detonation transition in energetic materials
journal, April 2012

Some influences of particle shape on drag and heat transfer
journal, December 1990

Shock tube spherical particle accelerating study for drag coefficient determination
journal, January 2003

Drag of non-spherical solid particles of regular and irregular shape
journal, March 2008

Refraction of Plane Shock Waves
journal, July 1947

Shock wave interaction with a cloud of particles
journal, October 1997

Compressibility and Rarefaction Effects on Drag of a Spherical Particle
journal, September 2008

Investigation of the acceleration of aluminum particles behind a shock wave using instantaneous Laser Doppler Velocimetry
journal, February 2009

An interface capturing method for the simulation of multi-phase compressible flows
journal, September 2010

Explosive dispersal of solid particles
journal, January 2001

On the velocity of a rigid sphere in a sound wave
journal, November 1976

Hydrodynamic Theory of the Velocity Correlation Function
journal, November 1970

Interaction of a shock with a sphere suspended in a vertical shock tube
journal, November 2003

Shock interaction with solid particles in condensed matter and related momentum transfer
journal, March 2003

Motion of a particle behind the shock wave front
journal, March 2010

Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow
journal, August 1993

The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture
journal, October 2007

A Simple Analytical Model for Reactive Particle Ignition in Explosives
journal, October 2007

Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres
journal, November 2011

Derivation of drag and lift force and torque coefficients for non-spherical particles in flows
journal, March 2012

Total variation diminishing Runge-Kutta schemes
journal, January 1998

A ghost fluid method for compressible reacting flows with phase change
journal, February 2013

Importance of unsteady contributions to force and heating for particles in compressible flows. Part 2: Application to particle dispersal by blast waves
journal, November 2011

Importance of unsteady contributions to force and heating for particles in compressible flows
journal, November 2011

Shock interaction with one-dimensional array of particles in air
journal, February 2015

Effective Drag Coefficient for Gas-Particle Flow in Shock Tubes
journal, March 1970

Unsteady drag on a sphere by shock wave loading
journal, June 2005

Shock tube investigation of quasi-steady drag in shock-particle interactions
journal, December 2012

Equation of motion for a small rigid sphere in a nonuniform flow
journal, January 1983

Effect of fluid compressibility on the flow caused by a sudden impulse applied to a sphere immersed in a viscous fluid
journal, December 2007

Unsteady effects in dense, high speed, particle laden flows
journal, May 2014

Drag Coefficients of Spheres in Continuum and Rarefied Flows
journal, June 1976

Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio
journal, November 2013

Der Widerstand gegen die Bewegung einer starren Kugel in einer zähen Flüssigkeit, die zwischen zwei parallelen ebenen Wänden eingeschlossen ist
journal, January 1922

Drag coefficient of a sphere in a non-stationary flow: new results
journal, September 2007

Hydrodynamic theory for vibrational relaxation in liquids
journal, January 1977

Dust suspensions accelerated by shock waves
journal, April 2000

On the equation for spherical-particle motion: effect of Reynolds and acceleration numbers
journal, July 1998

On the refraction of shock waves
journal, January 1989

Shock transmission and reflection from a material interface and subsequent reflection from a hard boundary
report, November 1998

Steady planar straining flow past a rigid sphere at moderate Reynolds number
journal, September 2002

On Shock-Wave Phenomena; Refraction of Shock Waves at a Gaseous Interface
journal, December 1951

Multi-scale modeling of shock interaction with a cloud of particles using an artificial neural network for model representation
journal, January 2012

Shock interaction with a deformable particle: Direct numerical simulation and point-particle modeling
journal, January 2013

A Five-Equation Model for the Simulation of Interfaces between Compressible Fluids
journal, September 2002

A shock-tube investigation of the dynamics of gas-particle mixtures: Implications for explosive volcanic eruptions
journal, January 2006

Lagrangian–Eulerian methods for multiphase flows
journal, April 2013

Numerical modelling of the entrainment of particles in inviscid supersonic flow
journal, April 2011

Acceleration and heating of metal particles in condensed matter detonation
journal, February 2012

Inertial and viscous forces on a rigid sphere in straining flows at moderate Reynolds numbers
journal, April 2003

Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number
journal, April 1992

The unsteadiness of shock waves propagating through gas-particle mixtures
journal, July 1985

Numerical approaches for motion of dispersed particles, droplets and bubbles
journal, June 2000

A generalization of Faxén's theorem to nonsteady motion of a sphere through an incompressible fluid in arbitrary flow
journal, September 1974

Modeling of particle compressibility and ignition from shock focusing
journal, February 2010

Acceleration of a sphere behind planar shock waves
journal, December 1995

Backtracking of a sphere slowing down in a viscous compressible fluid
journal, July 2005

Improved Drag Correlation for Spheres and Application to Shock-Tube Experiments
journal, June 2010

Shock propagation through a perfect gas entrained with a normal distribution of fine particles
journal, December 1990

Generalized Basset-Boussinesq-Oseen Equation for Unsteady Forces on a Sphere in a Compressible Flow
journal, February 2011

Equation of motion for a sphere in non-uniform compressible flows
journal, April 2012

Particle velocity and structures in blast waves imaged using particle image velocimetry
journal, January 2010