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

Kumar, Tadbhagya; Rycroft, Chris H.; Jackson, Thomas L.

doi:10.1016/j.combustflame.2020.05.023

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

Journal Article · Sat Jun 13 00:00:00 EDT 2020 · Combustion and Flame

DOI:https://doi.org/10.1016/j.combustflame.2020.05.023· OSTI ID:1782180

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

Univ. of Florida, Gainesville, FL (United States)
Harvard Univ., Cambridge, MA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); US Air Force Research Laboratory (AFRL); USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231; NA0002378

OSTI ID:: 1782180

Alternate ID(s):: OSTI ID: 1775667

Journal Information:: Combustion and Flame, Journal Name: Combustion and Flame Vol. 219; ISSN 0010-2180

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Approximate projection method
Heterogeneous propellant
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Thermo-mechanical

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