Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskoe modelirovanie, 2022, Volume 34, Number 7, Pages 73–92
DOI: https://doi.org/10.20948/mm-2022-07-05
(Mi mm4392)
 

Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties

I. A. Solntsev, S. A. Karabasov

Central Aerohydrodynamic Institute after Prof. N.E. Zhukovsky
References:
Abstract: In this study we develop modification of the high-resolution CABARET scheme for rotating meshes surrounded by an external fixed zone. CABARET is second-order in space and time conservative/characteristic scheme with compact stencil which has lowdissipative and low-dispersive properties and is non-oscillatory for calculations involving non-linear flow problems with a wide range of frequencies in computational aeroacoustics. To expand this method for rotor-stator interaction problem, an approximation of non-inertial terms in rotating zones for conservative steps is added, and appropriate modification of characteristic step on the sliding interface is developed. An evolutionary approach, which ensures the preservation of the fluxes of conservative variables through the contact surface is implemented. The dispersion-improved version of the scheme with an added anti-dispersion term expressed via a flux derivative is added as well as a modification of the non-linear flux correction algorithm with reduced dissipation. For testing, the problem of acoustic wave propagation through rotating zones and sliding interfaces is considered. It is shown that the developed CABARET method for rotating zones retains the main characteristics of the baseline CABARET algorithm on fixed meshes.
Keywords: CABARET conservative scheme, non-inertial terms, sliding interface.
Funding agency Grant number
Russian Science Foundation 21-71-30016
Received: 15.02.2022
Revised: 15.02.2022
Accepted: 16.05.2022
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 1, Pages 125–137
DOI: https://doi.org/10.1134/S207004822301012X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Solntsev, S. A. Karabasov, “Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties”, Matem. Mod., 34:7 (2022), 73–92; Math. Models Comput. Simul., 15:1 (2023), 125–137
Citation in format AMSBIB
\Bibitem{SolKar22}
\by I.~A.~Solntsev, S.~A.~Karabasov
\paper Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties
\jour Matem. Mod.
\yr 2022
\vol 34
\issue 7
\pages 73--92
\mathnet{http://mi.mathnet.ru/mm4392}
\crossref{https://doi.org/10.20948/mm-2022-07-05}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4422587}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 1
\pages 125--137
\crossref{https://doi.org/10.1134/S207004822301012X}
Linking options:
  • https://www.mathnet.ru/eng/mm4392
  • https://www.mathnet.ru/eng/mm/v34/i7/p73
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
    Statistics & downloads:
    Abstract page:197
    Full-text PDF :24
    References:50
    First page:9
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024