Исследование сеточной сходимости сеточно-характеристического метода на химерных сетках в задаче ультразвукового неразрушающего контроля рельсового полотна

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Аннотация

В работе рассматривается пример решения трехмерной прямой задачи ультразвукового контроля в рельсовом полотне, представляемого в виде линейно-упругой среды, с использованием сеточно-характеристического метода на криволинейной структурированной химерной и регулярных структурированных сетках. Между химерной и регулярными сетками используется взаимная интерполяция, учитывающая особенности перехода от криволинейной к регулярной сеткам в трехмерном пространстве. Предложен аналитический алгоритм для построения химерной сетки. Приведены анализ сходимости разработанных численных алгоритмов в зависимости от изменения шага по пространственным направлениям и сравнительный анализ полноволновых полей модуля скорости распространения возмущения от источника. Библ. 43. Фиг. 17.

Об авторах

А. А. Кожемяченко

Московский физико-технический институт; Научно-исследовательский институт системных исследований РАН

Email: anton-kozhemyachenko@yandex.ru
Россия, 141701, М.о., Долгопрудный, Институтский пер., 9; Россия, 117218, Москва, Нахимовский пр-т., 36, к. 1

А. В. Фаворская

Московский физико-технический институт; Научно-исследовательский институт системных исследований Российской академии наук

Автор, ответственный за переписку.
Email: favorskaya@phystech.edu
Россия, 141701, М.о., Долгопрудный, Институтский пер., 9; Россия, Москва

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© А.А. Кожемяченко, А.В. Фаворская, 2023