Moving window techniques to model shock wave propagation using the concurrent atomistic–continuum method

Davis, Alexander S.; Lloyd, Jeffrey T.; Agrawal, Vinamra

doi:10.1016/j.cma.2021.114360

Cited by 5 publications

(2 citation statements)

References 94 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results are consistent with spectral energy density plots obtained in previous works which use the CAC method for phonon heat transport and the prediction of phonon properties [20,31,36]. Phonon wave packet simulations from previous studies have confirmed that the reflections at the A-C interface are a direct result of the numerical discrepancy between the atomistic and continuum regions [20,31,32]. An example of this reflection phenomena can be seen in Fig.…”

Section: Numerical Discrepancy At the A-c Interfacesupporting

confidence: 91%

See 1 more Smart Citation

Transmitting multiple high-frequency waves across length scales using the concurrent atomistic-continuum method

Davis,

Agrawal

2022

Preprint

Self Cite

View full text Add to dashboard Cite

Coupled atomistic-continuum methods can describe large domains and model dynamic material behavior for a much lower computational cost than traditional atomistic techniques. However, these multiscale frameworks suffer from wave reflections at the atomistic-continuum interfaces due to the numerical discrepancy between the fine-scaled and coarse-scaled models. Such reflections are non-physical and may lead to unfavorable outcomes such as artificial heating in the atomistic region. In this work, we develop a technique to allow the full spectrum of phonons to be incorporated into the coarse-scaled regions of a periodic concurrent atomistic-continuum (CAC) framework. This scheme tracks phonons generated at various time steps and thus allows multiple high-frequency wave packets to travel between the atomistic and continuum regions. Simulations performed with this method demonstrate the ability of the technique to preserve the coherency of waves with a range of wavevectors as they propagate through the domain. This work has applications for systems with defined boundary conditions and may be extended to more complex problems involving waves randomly nucleated from an impact within a multiscale framework.

show abstract

Section: Numerical Discrepancy At the A-c Interfacesupporting

confidence: 91%

“…In this way, CAC uses AFT to produce a unified theoretical framework between the atomistic and continuum regions. CAC frameworks are defined as AFT domains which contain both fine-scaled and coarse-scaled regions [32].…”

Section: The Cac Methodsmentioning

confidence: 99%