Modeling wave processes in elastic media based on conservative difference schemes

Problems of numerical calculation of the propagation of deformations in elastic heatconducting media are considered. To solve this class of problems, implicit numerical schemes are proposed for the equations of thermal elasticity 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-adhesion and signdefiniteness of difference operators, as well as conservativeness. The results of numerical experiments are also presented, confirming the effectiveness of the developed technique.