Publication Details

Numerical solution of the Navier-Stokes system with the stick-slip boundary condition

KUČERA, R.; ŠÁTEK, V. Numerical solution of the Navier-Stokes system with the stick-slip boundary condition. In 19th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2023. p. 1-4. ISSN: 0094-243X.
Czech title
Numerické řešení Navier-Stokesovy úlohy s prokluzem na hranici
Type
conference paper
Language
English
Authors
Kučera Radek, prof. RNDr., Ph.D.
Arzt Vladimír, Ing.
Haslinger Jaroslav
Šátek Václav, Ing., Ph.D. (DITS)
URL
Keywords

Stokes
system, stick-slip boundary condition, finite element method, semi-smooth
Newton method

Abstract

The steady Navier-Stokes
system with the stick-slip boundary condition is discretized by
the mixed
finite element method combined with the numerical approximation
of the boundary
integrals. The Picard iterations linearize the convective term
while the semi-smooth
Newton method treats the non-smoothness of the stick-slip
boundary condition.
The inner linear systems are solved by the BiCGSTAB algorithm
with
preconditioning. Numerical experiments demonstrate efficiency of
the proposed
method. 

Published
2023
Pages
1–4
Journal
AIP conference proceedings, vol. 2023, no. 2849, ISSN 0094-243X
Proceedings
19th International Conference of Numerical Analysis and Applied Mathematics
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/5.0162188
EID Scopus
2-s2.0-85176779642
BibTeX 
@inproceedings{BUT187001,
  author="Radek {Kučera} and Vladimír {Arzt} and Jaroslav {Haslinger} and Václav {Šátek}",
  title="Numerical solution of the Navier-Stokes system with the stick-slip boundary condition",
  booktitle="19th International Conference of Numerical Analysis and Applied Mathematics",
  year="2023",
  journal="AIP conference proceedings",
  volume="2023",
  number="2849",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/5.0162188",
  issn="0094-243X",
  url="https://watermark.silverchair.com/310005_1_5.0162188.pdf?token=AQECAHi208BE49Ooan9kkhW_Ercy7Dm3ZL_9Cf3qfKAc485ysgAABYgwggWEBgkqhkiG9w0BBwagggV1MIIFcQIBADCCBWoGCSqGSIb3DQEHATAeBglghkgBZQMEAS4wEQQM3c5XcGdrmL4ia6ztAgEQgIIFO01_tjIURnGhzKlBx8r-rnE05GI9rojZLKQV"
}
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