Three-dimensional thermo-mechanical simulations of heterogeneous solid propellants

Kumar, Tadbhagya; Jackson, Thomas L.

doi:10.1016/j.combustflame.2021.111590

Three-dimensional thermo-mechanical simulations of heterogeneous solid propellants

Journal Article · Mon Nov 01 00:00:00 EDT 2021 · Combustion and Flame

DOI:https://doi.org/10.1016/j.combustflame.2021.111590· OSTI ID:1976987

Kumar, Tadbhagya ^[1]; Jackson, Thomas L. ^[2]

University of Florida, Gainesville, FL (United States); OSTI
University of Florida, Gainesville, FL (United States)

Here in this work, we present a numerical framework that describes thermo-mechanical deformations in a burning heterogeneous solid propellant. These deformations are quasi-static at time scales associated with combustion, and the resulting thermo-mechanical formulation is discretized on a Cartesian grid using a hypoelastic law. We use a weak form of Chorin-type projection method to deal with large difference in shear modulus of the constituent materials. Extending our previous two-dimensional work, grid convergence studies for a three-dimensional propellant configuration are presented for the stress, velocity, and reference map components. Finally, simulations are carried out for a random propellant pack that is coupled to a gas phase, and we present results for the pack undergoing combustion, with and without deformations.

View Accepted Manuscript (DOE)

Research Organization:: University of Florida, Gainesville, FL (United States)

Sponsoring Organization:: Air Force Research Laboratory (AFRL); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0002378

OSTI ID:: 1976987

Alternate ID(s):: OSTI ID: 1808615

Journal Information:: Combustion and Flame, Journal Name: Combustion and Flame Journal Issue: C Vol. 233; ISSN 0010-2180

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

An Eulerian finite-volume scheme for large elastoplastic deformations in solids: AN EULERIAN SCHEME FOR LARGE ELASTOPLASTIC DEFORMATIONS Barton, P. T.; Drikakis, D.; Romenski, E. I. International Journal for Numerical Methods in Engineering, Vol. 81, Issue 4 https://doi.org/10.1002/nme.2695	journal	July 2009
A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows Puckett, Elbridge Gerry; Almgren, Ann S.; Bell, John B. Journal of Computational Physics, Vol. 130, Issue 2 https://doi.org/10.1006/jcph.1996.5590	journal	January 1997
An Eulerian Description of Fluids Containing Visco-Elastic Particles Liu, Chun; Walkington, Noel J. Archive for Rational Mechanics and Analysis, Vol. 159, Issue 3 https://doi.org/10.1007/s002050100158	journal	September 2001
On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects Simo, J. C. Computer Methods in Applied Mechanics and Engineering, Vol. 60, Issue 2 https://doi.org/10.1016/0045-7825(87)90107-1	journal	February 1987
Nonsteady burning of periodic sandwich propellants with complete coupling between the solid and gas phases Hegab, A.; Jackson, T. L.; Buckmaster, J. Combustion and Flame, Vol. 125, Issue 1-2 https://doi.org/10.1016/S0010-2180(01)00226-7	journal	April 2001
Modeling the thermal expansion boundary layer during the combustion of energetic materials Kuznetsov, Igor R.; Stewart, D. Scott Combustion and Flame, Vol. 126, Issue 4 https://doi.org/10.1016/S0010-2180(01)00280-2	journal	September 2001
Three-dimensional heterogeneous propellant combustion Massa, L.; Jackson, T. L.; Buckmaster, J. Proceedings of the Combustion Institute, Vol. 29, Issue 2 https://doi.org/10.1016/S1540-7489(02)80363-7	journal	January 2002
A model for solid propellant burning fluctuations using mesoscale simulations Gallier, Stany; Plaud, Mathieu Acta Astronautica, Vol. 158 https://doi.org/10.1016/j.actaastro.2019.03.029	journal	May 2019
Three-dimensional simulations of ignition of composite solid propellants Gallier, Stany; Ferrand, Antoine; Plaud, Mathieu Combustion and Flame, Vol. 173 https://doi.org/10.1016/j.combustflame.2016.07.012	journal	November 2016
Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method Kumar, Tadbhagya; Rycroft, Chris H.; Jackson, Thomas L. Combustion and Flame, Vol. 219 https://doi.org/10.1016/j.combustflame.2020.05.023	journal	September 2020
Simulation of collapse and fragmentation phenomena in a sharp interface Eulerian setting Kapahi, A.; Sambasivan, S.; Udaykumar, H. S. Computers & Fluids, Vol. 87 https://doi.org/10.1016/j.compfluid.2012.09.007	journal	October 2013
Parallel three-dimensional simulations of quasi-static elastoplastic solids Boffi, Nicholas M.; Rycroft, Chris H. Computer Physics Communications https://doi.org/10.1016/j.cpc.2020.107254	journal	March 2020
Constitutive modeling of porous viscoelastic materials Xu, F.; Sofronis, P.; Aravas, N. European Journal of Mechanics - A/Solids, Vol. 26, Issue 6 https://doi.org/10.1016/j.euromechsol.2007.05.008	journal	November 2007
Thermomechanical modeling of metals at finite strains: First and mixed order finite elements Adam, Laurent; Ponthot, Jean-Philippe International Journal of Solids and Structures, Vol. 42, Issue 21-22 https://doi.org/10.1016/j.ijsolstr.2005.03.020	journal	October 2005
A particle-level set-based sharp interface cartesian grid method for impact, penetration, and void collapse Tran, L. B.; Udaykumar, H. S. Journal of Computational Physics, Vol. 193, Issue 2 https://doi.org/10.1016/j.jcp.2003.07.023	journal	January 2004
Thermomechanical modeling of regressing heterogeneous solid propellants Srinivasan, K. R.; Matouš, K.; Geubelle, P. H. Journal of Computational Physics, Vol. 228, Issue 21 https://doi.org/10.1016/j.jcp.2009.07.003	journal	November 2009
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory Rycroft, Chris H.; Gibou, Frédéric Journal of Computational Physics, Vol. 231, Issue 5 https://doi.org/10.1016/j.jcp.2011.10.009	journal	March 2012
An Eulerian projection method for quasi-static elastoplasticity Rycroft, Chris H.; Sui, Yi; Bouchbinder, Eran Journal of Computational Physics, Vol. 300 https://doi.org/10.1016/j.jcp.2015.06.046	journal	November 2015
Constitutive modeling of solid propellant materials with evolving microstructural damage Xu, F.; Aravas, N.; Sofronis, P. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 5 https://doi.org/10.1016/j.jmps.2007.10.013	journal	May 2008
Reference map technique for finite-strain elasticity and fluid–solid interaction Kamrin, Ken; Rycroft, Chris H.; Nave, Jean-Christophe Journal of the Mechanics and Physics of Solids, Vol. 60, Issue 11 https://doi.org/10.1016/j.jmps.2012.06.003	journal	November 2012
Simulations of heterogeneous propellant combustion : Effect of particle orientation and shape Plaud, Mathieu; Gallier, Stany; Morel, Matthieu Proceedings of the Combustion Institute, Vol. 35, Issue 2 https://doi.org/10.1016/j.proci.2014.05.020	journal	January 2015
Reference map technique for incompressible fluid–structure interaction Rycroft, Chris H.; Wu, Chen-Hung; Yu, Yue Journal of Fluid Mechanics, Vol. 898 https://doi.org/10.1017/jfm.2020.353	journal	June 2020
Diffusion Flames Burke, S. P.; Schumann, T. E. W. Industrial & Engineering Chemistry, Vol. 20, Issue 10 https://doi.org/10.1021/ie50226a005	journal	October 1928
Numerical solution of three-dimensional heterogeneous solid propellants Massa, L.; Jackson, T. L.; Short, M. Combustion Theory and Modelling, Vol. 7, Issue 3 https://doi.org/10.1088/1364-7830/7/3/308	journal	September 2003
Numerical simulation of heterogeneous propellant combustion by a level set method Wang, X.; Jackson, T. L.; Massa, L. Combustion Theory and Modelling, Vol. 8, Issue 2 https://doi.org/10.1088/1364-7830/8/2/003	journal	June 2004
Numerical solution of the Navier-Stokes equations Chorin, Alexandre Joel Mathematics of Computation, Vol. 22, Issue 104 https://doi.org/10.1090/S0025-5718-1968-0242392-2	journal	January 1968
Random Heterogeneous Materials: Microstructure and Macroscopic Properties Torquato,, S.; Haslach,, Hw Applied Mechanics Reviews, Vol. 55, Issue 4 https://doi.org/10.1115/1.1483342	journal	July 2002
A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection Almgren, Ann S.; Bell, John B.; Szymczak, William G. SIAM Journal on Scientific Computing, Vol. 17, Issue 2 https://doi.org/10.1137/S1064827593244213	journal	March 1996
New Kinetics for a Model of Heterogeneous Propellant Combustion Massa, L.; Jackson, T. L.; Buckmaster, J. Journal of Propulsion and Power, Vol. 21, Issue 5 https://doi.org/10.2514/1.2433	journal	September 2005
Modeling of Heterogeneous Propellant Combustion: A Survey Jackson, Thomas L. AIAA Journal, Vol. 50, Issue 5 https://doi.org/10.2514/1.J051585	journal	May 2012
Random Packs and Their Use in Modeling Heterogeneous Solid Propellant Combustion Kochevets, S.; Buckmaster, J.; Jackson, T. L. Journal of Propulsion and Power, Vol. 17, Issue 4 https://doi.org/10.2514/2.5820	journal	July 2001
A coupled level set projection method applied to ink jet simulation Yu, Jiun-Der; Sakai, Shinri; Sethian, James Interfaces and Free Boundaries https://doi.org/10.4171/IFB/87	journal	January 2003

Similar Records

Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method

Journal Article · Fri Jun 12 20:00:00 EDT 2020 · Combustion and Flame · OSTI ID:1782180

Parallel three-dimensional simulations of quasi-static elastoplastic solids

Journal Article · Sat Feb 29 19:00:00 EST 2020 · Computer Physics Communications · OSTI ID:1580840

Related Subjects

simulations
42 ENGINEERING
approximate projection method
heterogeneous propellant
thermo-mechanical

Three-dimensional thermo-mechanical simulations of heterogeneous solid propellants

Citation Formats

References (32)

Similar Records

Related Subjects