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International Conference on Parallel Computing Technologies

PaCT 2015: Parallel Computing Technologies pp 426–435Cite as

Wavelet-Based Local Mesh Adaptation with Application to Gas Dynamics

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9251))

Abstract

The paper addresses a simple numerical method for calculating two-dimensional gas dynamics problems on Cartesian meshes with dynamic local refinement. For multilevel local adaptation, several mesh-related algorithms are proposed based on quadric trees and recursive functions. A global analyzer of the computed solution is developed on the wavelet-based decompositions. To project the numerical solution between different mesh levels a procedure is proposed for cell function reconstruction based on the WENO-approach. Different ways of the parallel realization for such dynamic mesh structures are discussed.

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Authors and Affiliations

  1. ROSATOM Corp., Dukhov All-Russia Research Institute of Automatics, Moscow, Russia

    Kirill Merkulov

Authors
  1. Kirill Merkulov
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Corresponding author

Correspondence to Kirill Merkulov .

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Editors and Affiliations

  1. Russian Academy of Sciences, Novosibirsk, Russia

    Victor Malyshkin

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Merkulov, K. (2015). Wavelet-Based Local Mesh Adaptation with Application to Gas Dynamics. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2015. Lecture Notes in Computer Science(), vol 9251. Springer, Cham. https://doi.org/10.1007/978-3-319-21909-7_41

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  • DOI: https://doi.org/10.1007/978-3-319-21909-7_41

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21908-0

  • Online ISBN: 978-3-319-21909-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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