The study of increased order grid-characteristic methods on unstructured grids
Alena Victorovna Favorskaya, Igor Borisovich Petrov
Moscow Institute of Physics and Technology, Inststitutskii per., 9, Dolgoprudny, Moscow region, Russia, 141700
Keywords: сеточно-характеристический метод, численное моделирование, неструктурированные сетки, интерполяция высоких порядков, grid-characteristic method, numerical simulation, unstructured grids, high order interpolation
Abstract
We study the grid-characteristic methods for solving hyperbolic systems using a high order interpolation on unstructured tetrahedral and triangular grids for approximation. We consider the interpolation with orders from the first to the fifth included. Also, one-dimensional finite difference schemes appropriate for the considered methods are given. We study these schemes in terms of stability. The grid-characteristic method on unstructured triangular and tetrahedral grids are successfully used for solving the seismic prospecting problems, including, seismic prospecting in the conditions of the Arctic shelf and permafrost, as well as for solving seismic problems, problems of dynamic deformation and destruction, studying anisotropic composite materials.
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