Acoustical PhysicsAcoustical PhysicsАкустический журнал0320-79193034-5006The Russian Academy of Sciences69084110.31857/S0320791925040095vppyghОБРАБОТКА АКУСТИЧЕСКИХ СИГНАЛОВ. КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕResearch ArticleNumerical modeling of elastic wave phenomena by grid-characteristic method on chimera computational meshesЧисленное моделирование упругих волновых явлений сеточно-характеристическим методом на химерных расчетных сеткахFavorskayaA. V.ФаворскаяА. В.aleanera@yandex.ruKhokhlovN. I.ХохловН. И.k_h@inbox.ruKozhemyachenkoA. A.КожемяченкоА. А.anton-kozhemyachenko@yandex.ruPetrovI. B.ПетровИ. Б.petrov@mipt.ruMoscow Institute of Physics and TechnologyМосковский физико-технический институтScientific Research Institute for System Analysis of the National Research Centre “Kurchatov Institute”Научно-исследовательский институт системных исследований Национального исследовательского центра “Курчатовский институт”Innopolis UniversityУниверситет Иннополис15082025714VOL 71, NO4 (2025)ТОМ 71, №4 (2025)59860821092025Copyright ©; 2025, Russian Academy of SciencesCopyright ©; 2025, Российская академия наук2025Russian Academy of SciencesРоссийская академия наукhttps://modernonco.orscience.ru/0320-7919/article/view/690841

Nowadays, the solution of applied problems of seismic exploration and ultrasonic non-destructive testing is accompanied by the use of computer simulation. This poses a challenge for scientists to develop new modifications of numerical methods that allow increasing the accuracy of calculations while minimizing the cost of computing resources. Unlike numerical methods on unstructured computational grids, the use of Chimera computational grids (or superimposed ones, or adaptive ones) also allows describing boundaries and contact boundaries of arbitrary shape, but at the same time spending less RAM and time on calculations. This is especially important in connection with the active use of neural networks for solving inverse problems, since when generating training samples, both the accuracy of modeling and the speed of calculations and the amount of RAM spent are important. The paper considers and compares various modifications of the grid-characteristic method on Chimera computational grids. Examples of test calculations are given.

Решение прикладных задач сейсмической разведки и ультразвуковой дефектоскопии сопровождается применением компьютерного моделирования. Это ставит перед учеными задачу по разработке новых модификаций численных методов, позволяющих увеличить точность расчетов, минимизируя при этом затраты вычислительных ресурсов. В отличие от численных методов на неструктурированных расчетных сетках, использование Химерных (или наложенных, или адаптивных) расчетных сеток позволяет также описывать границы и контактные границы произвольной формы, но при этом затрачивать меньше оперативной памяти и времени на проведение вычислений. Это особенно важно в связи с активным использованием нейронных сетей для решения обратных задач, так как при генерации обучающих выборок важна как точность моделирования, так и скорость вычислений и количество затрачиваемой оперативной памяти. В работе рассматриваются и сравниваются между собой различные модификации сеточно-характеристического метода на Химерных расчетных сетках. Приведены примеры тестовых расчетов.

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