Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method
Abstract
We present a mathematical model that describes thermo-mechanical deformations and thermal gradients on the unsteady burning of a heterogeneous solid propellant. A scaling study shows that the deformations in solid at combustion timescales can be treated as quasi-static. The resulting thermo-mechanical formulation is formulated on a Cartesian grid and makes use of a weak form of Chorin-type projection method to deal with large difference in shear modulus of constituent materials. Further, a one-dimensional verification study is carried out by comparing numerical simulations with those of an analytical model. In addition, convergence studies for a two-dimensional propellant sandwich configuration are presented for the stress, velocity, and reference map components. Finally, simulations are carried out for a two-dimensional random propellant pack and the time-averaged burn rate and strains are reported.
- Authors:
-
[2];
- Univ. of Florida, Gainesville, FL (United States)
- Harvard Univ., Cambridge, MA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- US Air Force Research Laboratory (AFRL); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1782180
- Alternate Identifier(s):
- OSTI ID: 1775667
- Grant/Contract Number:
- AC02-05CH11231; FA9300-15-C-0004; NA0002378; DMS-1753203
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Combustion and Flame
- Additional Journal Information:
- Journal Volume: 219; Journal ID: ISSN 0010-2180
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Heterogeneous propellant; Thermo-mechanical; Approximate projection method; Simulations
Citation Formats
Kumar, Tadbhagya, Rycroft, Chris H., and Jackson, Thomas L. Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method. United States: N. p., 2020.
Web. doi:10.1016/j.combustflame.2020.05.023.
Kumar, Tadbhagya, Rycroft, Chris H., & Jackson, Thomas L. Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method. United States. https://doi.org/10.1016/j.combustflame.2020.05.023
Kumar, Tadbhagya, Rycroft, Chris H., and Jackson, Thomas L. Sat .
"Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method". United States. https://doi.org/10.1016/j.combustflame.2020.05.023. https://www.osti.gov/servlets/purl/1782180.
@article{osti_1782180,
title = {Eulerian thermo-mechanical simulations of heterogeneous solid propellants using an approximate projection method},
author = {Kumar, Tadbhagya and Rycroft, Chris H. and Jackson, Thomas L.},
abstractNote = {We present a mathematical model that describes thermo-mechanical deformations and thermal gradients on the unsteady burning of a heterogeneous solid propellant. A scaling study shows that the deformations in solid at combustion timescales can be treated as quasi-static. The resulting thermo-mechanical formulation is formulated on a Cartesian grid and makes use of a weak form of Chorin-type projection method to deal with large difference in shear modulus of constituent materials. Further, a one-dimensional verification study is carried out by comparing numerical simulations with those of an analytical model. In addition, convergence studies for a two-dimensional propellant sandwich configuration are presented for the stress, velocity, and reference map components. Finally, simulations are carried out for a two-dimensional random propellant pack and the time-averaged burn rate and strains are reported.},
doi = {10.1016/j.combustflame.2020.05.023},
journal = {Combustion and Flame},
number = ,
volume = 219,
place = {United States},
year = {Sat Jun 13 00:00:00 EDT 2020},
month = {Sat Jun 13 00:00:00 EDT 2020}
}
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