Geodesic
Modeling wave processes by the particle dynamics method
Matematičeskoe modelirovanie, Tome 32 (2020) no. 10, pp. 119-134

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We propose а method for the numerical simulation of acoustic processes, in solids representing a solid in the form of an array of particles in a cubic body-centered crystal lattice. Particle dynamics is described by Newton's equations of motion. It is shown that the developed numerical model allows one to describe resonance phenomena and the process of wave propagation. The results of modeling the resonant frequencies of an ultrasonic instrument by the proposed method and the finite element method in a COMSOL Multiphysics environment are compared. An experimental study of the resonant frequencies of an ultrasonic instrument showed that the numerical model correctly determines its resonant frequencies.
Keywords: acoustics, particle dynamics, Newton's law, COMSOL Multiphysics, cubic volume-centered crystal lattice, molecular dynamics method. 
@article{MM_2020_32_10_a8,
     author = {D. Ya. Sukhanov and A. E. Kuzovova},
     title = {Modeling wave processes by the particle dynamics method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--134},
     publisher = {mathdoc},
     volume = {32},
     number = {10},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_10_a8/}
}
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D. Ya. Sukhanov; A. E. Kuzovova. Modeling wave processes by the particle dynamics method. Matematičeskoe modelirovanie, Tome 32 (2020) no. 10, pp. 119-134. http://geodesic.mathdoc.fr/item/MM_2020_32_10_a8/