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Dynamic Processes Calculation in Composites Considering Internal Structure Using the Grid-Characteristic Method

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Abstract

This research paper presents an investigation into the modeling of ultrasonic wave propagation within composite materials, employing advanced grid-characteristic methods and Chimera grids. The study utilizes an isotropic linear elastic medium as a fundamental model to describe the dynamics of individual structures in composite materials. To solve the problems, the grid-characteristic method was used on both structured rectangular and curvilinear grids. The methodology introduces Chimera grids within a single uniform background mesh, allowing for independent solutions in each grid at subsequent time steps. This approach not only enhances the precision of describing wave front behavior at material contact boundaries but also streamlines computational processes through parallelization, showcasing exceptional scalability. The results demonstrate significant advancements in understanding ultrasonic wave dynamics within composite materials, with implications for refining simulation techniques in the future.

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Funding

The research was supported by the Russian Science Foundation grant no. 23-11-00035, https://rscf.ru/project/23-11-00035/. This work has been carried out using computing resources of the federal collective usage center Complex for Simulation and Data Processing for Mega-science Facilities at NRC ‘‘Kurchatov Institute,’’ http://ckp.nrcki.ru/.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (MIPT), 141700, Dolgoprudny, Moscow oblast, Russia

    E. Pesnya & I. B. Petrov

  2. Scientific Research Institute for System Analysis of the Russian Academy of Sciences, 117218, Moscow, Russia

    I. B. Petrov

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  1. E. Pesnya
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  2. I. B. Petrov
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Correspondence to E. Pesnya or I. B. Petrov.

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Pesnya, E., Petrov, I.B. Dynamic Processes Calculation in Composites Considering Internal Structure Using the Grid-Characteristic Method. Lobachevskii J Math 45, 319–327 (2024). https://doi.org/10.1134/S1995080224010438

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  • DOI: https://doi.org/10.1134/S1995080224010438

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