CALCULATION OF WAVE PROCESSES IN PRISMATIC BODIES LIMITED BY CURVILINEAR SURFACES BY THE BICHARACTERISTIC METHOD
Keywords:
dynamic disturbances, elastic medium, wave processes, bicharacteristic method, coordinate transformation, hyperbolic system, finite-difference schemeAbstract
This article discusses a method for calculating transient stress and particle velocity fields in three-dimensional isotropic elastic prismatic bodies bounded by curved surfaces. To overcome localized accuracy losses at the boundaries, the physical domain is transformed into a rectangular computational domain using a coordinate transformation. A numerical algorithm based on integration along bicharacteristics is developed by splitting multidimensional hyperbolic systems of partial differential equations into one-dimensional ones. The features of boundary condition approximation are described in detail, as well as the method for calculating nodal points on the edges and at trihedral angles of the body under study.
References
1. Андерсен Д., Таннехилл Дж., Плетчер Р. Вычислительная гидромеханика и теплообмен. - М.: Мир, 1990. – Т.1. – 392с.
2. Тарабрин Г.Т. Численное решение нестационарных задач динамики анизотропной упругой среды //Известия АН СССР. МТТ. – 1982. – № 2. – С. 83-95.
