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


Matem. Mod., 2020, Volume 32, Number 12, Pages 114–128 (Mi mm4248)  

On using artificial viscosity in edge-based schemes on unstructured meshes

P. A. Bakhvalov, T. K. Kozubskaya

Keldysh Institute of Applied Mathematics RAS

Abstract: In numerical simulation of multidimensional gas dynamics, finite-volume schemes based on complete (i.e. based on three-wave model) Riemann solvers suffer from shock-wave instability. It can appear as oscillations that cannot be damped by slope limiters, or it can lead to a non-physical solution (carbuncle-phenomenon). To overcome this, one can switch to an incomplete (i.e. based on two-wave model) Riemann solver or introduce artificial viscosity. We compare these two approaches as applied to the EBR-WENO scheme for the discretization of convective fluxes and for the continuous P1-Galerkin method for the discretization of diffusion terms. We show that the results of simulations are more accurate if the method of artificial viscosity is used. However, on 3D unstructured meshes this way causes pressure pimples on the supersonic side of the shock, the amplitudes of which depend on the mesh quality. They can reach negative pressure and thus can result in crash of time integration. In this case, the switch to an incomplete Riemann solver gives satisfactory results with much less sensitivity to the quality of the mesh.

Keywords: edge-based scheme, unstructured mesh, artificial viscosity, carbuncle, WENO scheme.

Funding Agency Grant Number
Russian Science Foundation 20-41-09018


DOI: https://doi.org/10.20948/mm-2020-12-10

Full text: PDF file (739 kB)
First page: PDF file
References: PDF file   HTML file

Received: 17.06.2020
Revised: 17.06.2020
Accepted:21.09.2020

Citation: P. A. Bakhvalov, T. K. Kozubskaya, “On using artificial viscosity in edge-based schemes on unstructured meshes”, Matem. Mod., 32:12 (2020), 114–128

Citation in format AMSBIB
\Bibitem{BakKoz20}
\by P.~A.~Bakhvalov, T.~K.~Kozubskaya
\paper On using artificial viscosity in edge-based schemes on unstructured meshes
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 12
\pages 114--128
\mathnet{http://mi.mathnet.ru/mm4248}
\crossref{https://doi.org/10.20948/mm-2020-12-10}


Linking options:
  • http://mi.mathnet.ru/eng/mm4248
  • http://mi.mathnet.ru/eng/mm/v32/i12/p114

    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
  • Математическое моделирование
    Number of views:
    This page:120
    References:11
    First page:7

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