Publication: Modeling Wave Processes in Elastic Media Based on Conservative Difference Schemes
Аннотация
© 2021, Pleiades Publishing, Ltd.Abstract: The problems of the numerical calculation of the propagation of deformations in elastic heat-conducting media are considered. To solve this class of problems, implicit numerical schemes are proposed for the equations of thermoelasticity and thermal conductivity on unstructured triangular and tetrahedral meshes. As a result of theoretical studies, it is shown that the proposed schemes have the properties of self-adjointness and sign-definiteness of difference operators, as well as conservatism. The results of the numerical experiments are also presented, confirming the effectiveness of the developed technique.
Описание
Ключевые слова
Цитирование
Popov, I. V. Modeling Wave Processes in Elastic Media Based on Conservative Difference Schemes / Popov, I.V. // Mathematical Models and Computer Simulations. - 2021. - 13. - № 6. - P. 1160-1171. - 10.1134/S2070048221060181