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The Simulation of 3D Wave Fields in Complex Topography Media

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Supercomputing (RuSCDays 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1129))

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Abstract

A parallel algorithm for the simulation of wave field in 3D heterogeneous media with a curved free surface is proposed. In this paper we use a mapping method to transform the initial problem. It is based on the construction of a curvilinear mesh that conforms with the geometry of the free surface in the domain of interest. This domain is then to be mapped onto the “calculation” rectangular domain covered with a regular mesh. Therefore, now we have the initial problems restated in generalized coordinates but in the domain of simple geometry. To solve the transformed problem in the “calculation” domain, we use a finite difference method. Numerical tests were carried out on the SSCC cluster of SB RAS. The results of numerical simulation are presented.

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Acknowledgement

The theoretical part of this research (Sects. 1, 2) has been supported by the Russian Science Foundation, project 17-17-01128. Work on Sects. 3, 4 was conducted within the framework of the budget project 0315-2019-0009 for ICMMG SB RAS, and for the technical part, Sects. 5 and 6, were supported by the RFBR grants 19-07-00085 and 18-07-00757 respectively.

All simulations have been done using the equipment of the Siberian Supercomputer Center.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia

    Pavel Titov

  2. Trofimuk Institute of Petroleum Geology and Geophysics of SB RAS, Novosibirsk, Russia

    Pavel Titov

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  1. Pavel Titov
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Correspondence to Pavel Titov .

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Editors and Affiliations

  1. Research Computing Center, Moscow State University, Moscow, Russia

    Vladimir Voevodin

  2. Research Computing Center, Moscow State University, Moscow, Russia

    Sergey Sobolev

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Titov, P. (2019). The Simulation of 3D Wave Fields in Complex Topography Media. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2019. Communications in Computer and Information Science, vol 1129. Springer, Cham. https://doi.org/10.1007/978-3-030-36592-9_37

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  • DOI: https://doi.org/10.1007/978-3-030-36592-9_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-36591-2

  • Online ISBN: 978-3-030-36592-9

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