Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 2, Pages 56–59 (Mi vmumm675)  
Short notes

Multiscale analysis of gas dynamic fields

A. V. Plenkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (132 kB)
Abstract: A joint analysis of singularities detected in an initial gas dynamic field and at the first level of its wavelet decomposition allows one to remove the most part of numerical artifacts. The application of asymmetric wavelets for this decomposition leads to a displacement of singularities. It is shown that the values of such a field can be identified with the coefficients of its wavelet decomposition.
Key words: wavelets, singularity detection, gas dynamics.
Received: 21.10.2009
English version:
Moscow University Mechanics Bulletin, 2011, Volume 66, Issue 2, Pages 40–43
DOI: https://doi.org/10.3103/S0027133011020038
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. V. Plenkin, “Multiscale analysis of gas dynamic fields”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 56–59; Moscow University Mechanics Bulletin, 66:2 (2011), 40–43
Citation in format AMSBIB
\Bibitem{Ple11}
\by A.~V.~Plenkin
\paper Multiscale analysis of gas dynamic fields
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 2
\pages 56--59
\mathnet{http://mi.mathnet.ru/vmumm675}
\zmath{https://zbmath.org/?q=an:06774413}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2011
\vol 66
\issue 2
\pages 40--43
\crossref{https://doi.org/10.3103/S0027133011020038}
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