Informacionnye TehnologiiInformacionnye TehnologiiИнформационные технологии1684-6400New Technologies Publishing House70211310.17587/it.31.227-235Modeling and optimizationМоделирование и оптимизацияResearch ArticleThe improvement of the mesh generation algorithm in the finite element method for accelerating the calculation of thermal stresses in solid bodiesУлучшение алгоритма построения сетки в методе конечных элементов для ускорения расчета термических напряжений в твердых телахRaadM.РаадМ.
Russian Federation

PhD Student

аспирант

m.raad@hotmail.comPopovA. Y.ПоповА. Ю.
Russian Federation

Dr. of Tech. Sc., Professor

д-р техн. наук, проф.

alexpopov@bmstu.ruBMSTU "Bauman Moscow State Technical University"Московский государственный технический университет имени Н. Э. Баумана150520253152272350302202603022026Copyright ©; 2025, Informacionnye TehnologiiCopyright ©; 2025, Информационные технологии2025Informacionnye TehnologiiИнформационные технологииhttps://journals.eco-vector.com/1684-6400/article/view/702113

This study focuses on modeling the thermodiffusion process and thermal stresses using the finite element method (FEM). The paper examines algorithms for polygonal mesh generation and evaluates the influence of mesh quality on the accuracy of numerical methods in thermodiffusion calculations within solid bodies. An improved Delaunay algorithm is proposed to enhance mesh construction. Numerical experiments are presented, and the accuracy of the obtained results is analyzed to demonstrate the effectiveness of the proposed approach in accelerating thermal stress calculations.

Исследование посвящено моделированию процесса термодиффузии и термических напряжений с использованием метода конечных элементов (МКЭ). Рассматриваются алгоритмы построения полигональных сеток. Анализируется влияние качества сеток на точность численных методов при расчете термодиффузии в твердых телах и предложены улучшенный алгоритм Делоне. Приведены результаты численных экспериментов, выполнен анализ точности полученных результатов.

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