| Summary: | Interactions between initially planar, piston supported compaction waves in heterogeneous energetic solids and macro-scale rigid boundaries were computationally examined for a wide range of piston impact speeds (20 ≤ U<sub>p</sub> ≤ 500 m/s) and initial solid volume fractions of the material (0.73 ≤ ϕ<sub>0</sub> ≤ 0.90). The response of the material was described by a continuum theory that accounts for both elastic and inelastic compaction in a thermodynamically consistent manner. Initial conditions were imposed by interpolating the spatial structure of one-dimensional steady compaction waves onto two-dimensional domains considered in this study. For a planar wedge boundary, the peak solid pressure (P<sub>s</sub>), dissipative heating rate (ė<sub>c</sub>) and bulk temperature rise (ΔT) at the boundary increased when wedge angle θ was increased from 0º to a critical value (60º ≤ θ<sub>c</sub> ≤ 65º) as the flow transitioned to a single Mach reflection (SMR) from a von Neumann reflection (vNR); these quantities decreased when θ was further increased due to flow transition to a regular reflection (RR) from a SMR for ϕ<sub>0</sub> = 0.85 and U<sub>p</sub> = 500 m/s. Locations of the peak P<sub>s</sub>, ė<sub>c</sub> and ΔT were predicted to be removed from the wedge tip for a vNR and a SMR, but near the wedge tip for a RR. Qualitatively similar predictions were obtained for 0.73 ≤ ϕ<sub>0</sub> ≤ 0.90 and U<sub>p</sub> ≥ 150 m/s. For a semi-circular boundary, the initial RR configuration transitioned to a SMR for all cases. For 0.73 ≤ ϕ<sub>0</sub> ≤ 0.90 and U<sub>p</sub> ≥ 150 m/s, peak values of P<sub>s</sub>, ė<sub>c</sub> and ΔT were predicted at a location removed from the stagnation point. For both wedge and semi-circular boundaries, dissipative heating at the boundary was dominated by rate-dependent compaction. To aid in the development of a bulk-scale combustion sub-model, bulk-scale predictions were compared to locally averaged meso-scale predictions. Bulk-scale and averaged meso-scale predictions showed good agreement, provided that the averaging area size was suitably selected.
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