Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Keldysh Institute preprints, 2003, 101, 15 pp. (Mi ipmp974)  

Localization of singularities of gas dynamics fields with the aid of complex orthogonal wavelet transform

A. L. Afendikov, L. I. Levkovich-Maslyuk


Abstract: A new approach to determination of singularity lines and surfaces in gas dynamics fields (density, pressure, velocity) is suggested. The main idea is to look at the complex-valued wavelet transform of the given gas dynamics flow, and use jumps of the phase as indicators of the singularity location. In our experiments we used orthogonal wavelet transform (OWT) with 2 variants of complex-valued wavelets from Daubechies family, DCOLA8 and DCOMS22, defined by filters with 8 and 22 coefficients, respectively. It turned out that lines were the phase of OWT varies rapidly are very close to the physical singularities of the flow, such as shock waves, and contact and weak discontinuities. Standard edge detection techniques applied to the OWT phase fields allowed to obtain the complete map of singularities of the flow. Since OWT is computed by a fast algorithm (linear in input data volume), such a method of singularities localization can be used in real time in parallel with gas dynamics computations. Descriptions of the method and experiments are outlined.

Full text: http://www.keldysh.ru/.../prep2003_101.html

Citation: A. L. Afendikov, L. I. Levkovich-Maslyuk, “Localization of singularities of gas dynamics fields with the aid of complex orthogonal wavelet transform”, Keldysh Institute preprints, 2003, 101, 15 pp.

Citation in format AMSBIB
\Bibitem{AfeLev03}
\by A.~L.~Afendikov, L.~I.~Levkovich-Maslyuk
\paper Localization of singularities of gas dynamics fields with the aid of complex orthogonal wavelet transform
\jour Keldysh Institute preprints
\yr 2003
\papernumber 101
\totalpages 15
\mathnet{http://mi.mathnet.ru/ipmp974}


Linking options:
  • http://mi.mathnet.ru/eng/ipmp974
  • http://mi.mathnet.ru/eng/ipmp/y2003/p101

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
    Number of views:
    This page:83
    Full text:19

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021