Vol. 7, №1, 2015
РусскийEnglish

INFORMATION TECHNOLOGIES



GRID-CHARACTERISTIC METHOD FOR NUMERICAL MODELING OF WAVE PROCESSES IN THREE-DIMENSIONAL PROBLEMS OF DYNAMIC LOADING OF COMPLEX STRUCTURES
Igor B. Petrov, Alena V. Favorskaya, Nikolay I. Khokhlov, Vladislav A. Miryakha, Alexander V. Sannikov, Katerina A. Beklemysheva, Vasiliy I. Golubev


Moscow Institute of Physics and Technology (University), Faculty Management and Applied Mathematics, Chair of Computer Science, http://www.mipt.ru
141701 Dolgoprudny, Moscow region, Russian Federation
petrov@mipt.ru, aleanera@yandex.ru, k_h@inbox.ru, vlad.miryaha@gmail.com, donxenapo@gmail.com, amisto@yandex.ru, w.golubev@mail.ru

Received 06.11.2014
Abstract. This paper is to inform about the numerical method of computer modeling of wave propagation in three-dimensional problems of dynamic loading of complex structures. As a method of modeling uses grid-characteristic method. This method uses unstructured tetrahedral hierarchical meshes, a multiple time step and the high-order interpolation, it has the precise formulation of contact conditions. The use of this grid-characteristic method makes it possible to use the multiple time step and thereby increase productivity and significantly reduce the computation time. This method is used here for modeling the railway defectoscopy for security and timely detection of defects. The comparison of wave patterns that occur during the transmission of elastic waves in the rail obtained by grid-characteristic method on curvilinear structured grids and discontinuous Galerkin method on unstructured tetrahedral grids was done

Keywords: grid-characteristic method, computer simulation, discontinuous Galerkin method, defectoscopy of railway

PACS: 02.60.Cb, 02.70.-c, 02.70.Dh, 89.20.Ff

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RENSIT, 2015, 7(1):34-47 DOI: 10.17725/rensit.2015.07.034
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