Adaptive moving window technique for SPH simulation of stationary shock waves

Murzov, S.A.; Dyachkov, S.A.; Zhakhovsky, V.V.

doi:10.1016/j.cpc.2024.109116

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Cited by 2 publications

References 42 publications

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Dispersion analysis of SPH for parabolic equations: High-order kernels against tensile instability

Stoyanovskaya,

Burmistrova,

Arendarenko

et al. 2025

Journal of Computational and Applied Mathematics

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Dispersion analysis of SPH for parabolic equations: High-order kernels against tensile instability

Stoyanovskaya,

Burmistrova,

Arendarenko

et al. 2025

Journal of Computational and Applied Mathematics

View full text Add to dashboard Cite

Adaptive moving window technique for SPH simulation of stationary shock waves

Murzov

2024

Preprint

View full text Add to dashboard Cite

A novel adaptive moving window (AMW) technique is developed for simulating stationary shock waves in a moving coordinate system associated with a simulation box. The velocity of this system is adjusted by an iterative feedback algorithm with the purpose of establishing a desirable position of shock front. Galilean transformations are iteratively used to maintain the shape of the flow profile. The moving coordinate system has advantages in simulation over a conventional coordinate system associated with the intact material at rest. In particular, a truly steady flow regime can be established in this moving window (MW). Comparative simulation using the smoothed particle hydrodynamics method to study shock propagation in copper confirms that the AMW converges to a steady state faster than a MW technique with a fixed velocity. We demonstrate that AMW can be applied for very weak shocks. Advantage of AMW is revealed in SPH simulation of the front structure for weak shocks in porous copper that result in a partial pore compaction. Specifically, we clarify the mechanism of the partial pore collapse for shock velocities below a knee on a calculated shock Hugoniot, where this knee corresponds to the complete collapse of pores.

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Adaptive moving window technique for SPH simulation of stationary shock waves

Cited by 2 publications

References 42 publications

Dispersion analysis of SPH for parabolic equations: High-order kernels against tensile instability

Dispersion analysis of SPH for parabolic equations: High-order kernels against tensile instability

Adaptive moving window technique for SPH simulation of stationary shock waves

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