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Calculation of Seismic Stability of Buildings in the Far North Using the Grid-Characteristic Method

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Abstract

In this manuscript we discuss a new modification of the grid-characteristic method for calculating the seismic stability of buildings in the Far North, taking into account the presence of soil piles and soil subsidence between them with a topography of an arbitrary shape. We introduce a new method of covering the integration domain with various types of computational grids. This hybrid approach of the use of computational grids to solve this class of problems is discussed in detail in the manuscript. Attention is paid to the issue of the grids generation, the conformity of contacts between them and the possibility of using interpolation, including the introduction of hierarchical coordinate step refinement. The types of grids under consideration are either Cartesian (with a constant step in Cartesian coordinates), or structured curvilinear (body-fitted and boundary-conforming) to take into account soil subsidence of arbitrary shape. A number of test calculations have been performed.

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ACKNOWLEDGMENTS

This work has been carried out using computing resources of the federal collective usage center Complex for Simulation and Data Processing for Mega-science Facilities at NRC ‘‘Kurchatov Institute,’’ https://ckp.nrcki.ru/.

Funding

The work was carried out within the framework of the state task of the Federal State Institution ‘‘Scientific Research Institute for System Analysis of the Russian Academy of Sciences’’ on the topic no. FNEF-2024-0002 ‘‘Mathematical modeling of multi-scale dynamic processes and virtual environment systems’’ (1023032900401-5-1.2.1).

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  1. Scientific Research Institute for System Analysis of the Russian Academy of Sciences, 117218, Moscow, Russia

    A. V. Favorskaya & I. B. Petrov

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  1. A. V. Favorskaya
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Correspondence to A. V. Favorskaya or I. B. Petrov.

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Favorskaya, A.V., Petrov, I.B. Calculation of Seismic Stability of Buildings in the Far North Using the Grid-Characteristic Method. Lobachevskii J Math 45, 213–222 (2024). https://doi.org/10.1134/S1995080224010153

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