Geodesic
Grid-characteristic calculation of multistorey buildings destruction
Matematičeskoe modelirovanie, Tome 32 (2020) no. 3, pp. 102-114

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Nowadays, many objects are subject to the risks of seismic activity, both during earthquakes, and due to man-made impacts. For example, the zone of increased seismic activity includes the eastern regions of Russia, located in the zone of the so-called Ring of Fire, the coastal zone of the continents of Eurasia, North America, South America and Australia, as well as the islands surrounding the Pacific Ocean. Given the development of high-performance computing systems, the study of the possibilities of using more precision methods for calculating the earthquake resistance of structures as a result of natural and man-made impacts is an actual fundamental scientific problem, which this work is devoted to. The grid-characteristic method was used for the calculation. The wave fields of the velocity vector and the Cauchy stress tensor were calculated using this method. Then, the fracture areas of multi-storey concrete buildings were calculated using the destruction criterion of main stress. Destroyed areas were subsequently considered as free boundaries within the integration domain. In this work various types of assignment of the initial seismic impact are considered. Their comparison is made on the impact on the localization of the fracture areas and the cost of computing resources. A comparison was also made of the localization of the calculated areas of destruction of multi-storey buildings with a decrease in the step of the computational grid in coordinates and the step of integration over time. The dependence of the localization of the calculated fracture areas is analyzed depending on the type of seismic impact assignment, type of seismic wave, number of floors in the building. The paper presents data on the consumption of computing resources for various problem statements: random access memory, hard disk memory, and computation time.
Keywords: supercomputer simulation, grid-characteristic method, earthquake resistance, high-rise buildings. 
@article{MM_2020_32_3_a5,
     author = {A. V. Favorskaya and I. B. Petrov},
     title = {Grid-characteristic calculation of multistorey buildings destruction},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {102--114},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_3_a5/}
}
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A. V. Favorskaya; I. B. Petrov. Grid-characteristic calculation of multistorey buildings destruction. Matematičeskoe modelirovanie, Tome 32 (2020) no. 3, pp. 102-114. http://geodesic.mathdoc.fr/item/MM_2020_32_3_a5/