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, 2024, Volume 36, Number 2, Pages 25–40
DOI: https://doi.org/10.20948/mm-2024-02-02 (Mi mm4529) 		 
Application of WENO-schemes for modelling shockwave processes

F. A. Belolutskiy, V. V. Shepelev, S. V. Fortova

ICAD RAS
Full-text PDF (479 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.20948/mm-2024-02-02
Abstract: The present paper is concerned with the analysis of WENO-schemes for the solution of one-dimensional Euler equations with a Mie–Grüneisen type equation of state. The least dissipative and oscillatory modifications of WENO-schemes in characteristic variables with a monotonicity-preserving (MP) limiter are presented. A modified scheme, MP-WENO-SM, is developed, demonstrating the smallest amplitude of oscillations in the solution of the test problems with discontinuous initial data.
Keywords: WENO, computational fluid dynamics, equations of state, shock waves in metals.
Received: 27.06.2023
Revised: 21.09.2023
Accepted: 04.12.2023
English version:
Mathematical Models and Computer Simulations, 2024, Volume 16, Issue 4, Pages 536–547
DOI: https://doi.org/10.1134/S2070048224700200
Document Type: Article
Language: Russian
Citation: F. A. Belolutskiy, V. V. Shepelev, S. V. Fortova, “Application of WENO-schemes for modelling shockwave processes”, Matem. Mod., 36:2 (2024), 25–40; Math. Models Comput. Simul., 16:4 (2024), 536–547
Citation in format AMSBIB
\Bibitem{BelSheFor24}
\by F.~A.~Belolutskiy, V.~V.~Shepelev, S.~V.~Fortova
\paper Application of WENO-schemes for modelling shockwave processes
\jour Matem. Mod.
\yr 2024
\vol 36
\issue 2
\pages 25--40
\mathnet{http://mi.mathnet.ru/mm4529}
\crossref{https://doi.org/10.20948/mm-2024-02-02}
\transl
\jour Math. Models Comput. Simul.
\yr 2024
\vol 16
\issue 4
\pages 536--547
\crossref{https://doi.org/10.1134/S2070048224700200}
Linking options:
  • https://www.mathnet.ru/eng/mm4529
  • https://www.mathnet.ru/eng/mm/v36/i2/p25
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024