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Innovations in Wave Processes Modelling and Decision Making pp 117–160Cite as

Grid-Characteristic Method

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Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 90))

Abstract

In this chapter, a family of grid-characteristic methods for numerical simulation is considered. These methods are developed and used to solve a wide range of applied problems: traumatology, ultrasound studies of the human body, ultrasonic operations, seismic exploration of oil and gas, seismic resistance of residential and industrial facilities, non-destructive testing of railways and innovative materials including composites, development territories with complex natural conditions, shock effects on complex-shaped structures, and global seismic of various planets of the solar system. The methods allow to simulate the wave processes in heterogeneous media of complex topology and dynamic process of destruction of these media. Also these methods help to investigate clearly small heterogeneous features that represent breaks in the integration domain. Grid-characteristic methods are used to solve the hyperbolic systems of equations describing the wave processes. In this chapter, the elastic waves in isotropic and anisotropic cases and acoustic waves are considered. The method is well paralleled and actively implemented in software using the high-performance computing systems.

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Acknowledgements

This work has been performed at Non-state Educational Institution “Educational Scientific and Experimental Center of Moscow Institute of Physics and Technology” and supported by the Russian Science Foundation, grant no. 17-71-20088. 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”, http://ckp.nrcki.ru/.

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Authors and Affiliations

  1. Non-state Educational Institution “Educational Scientific and Experimental Center of Moscow Institute of Physics and Technology”, 9, Institutsky Pereulok st., Dolgoprudny, Moscow Region, 141700, Russian Federation

    Alena V. Favorskaya

  2. Department of Computer Science and Numerical Mathematics, Moscow Institute of Physics and Technology, 9, Institutsky Pereulok st., Dolgoprudny, Moscow Region, 141700, Russian Federation

    Alena V. Favorskaya & Igor B. Petrov

  3. Scientific Research Institute for System Studies of the Russian Academy of Sciences, 36(1), Nahimovskij ave, Moscow, 117218, Russian Federation

    Alena V. Favorskaya & Igor B. Petrov

Authors
  1. Alena V. Favorskaya
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  2. Igor B. Petrov
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Correspondence to Alena V. Favorskaya .

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Editors and Affiliations

  1. Department of Computer Science and Numerical Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia

    Alena V. Favorskaya

  2. Department of Computer Science and Numerical Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia

    Igor B. Petrov

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Favorskaya, A.V., Petrov, I.B. (2018). Grid-Characteristic Method. In: Favorskaya, A., Petrov, I. (eds) Innovations in Wave Processes Modelling and Decision Making. Smart Innovation, Systems and Technologies, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-76201-2_5

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  • DOI: https://doi.org/10.1007/978-3-319-76201-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-76200-5

  • Online ISBN: 978-3-319-76201-2

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