Detail publikace

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.
Název česky
Numerické řešení Navier-Stokesovy úlohy s prokluzem na hranici
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Kučera Radek, prof. RNDr., Ph.D.
Arzt Vladimír, Ing.
Haslinger Jaroslav
Šátek Václav, Ing., Ph.D. (UITS)
URL
Klíčová slova

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

Abstrakt

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. 

Rok
2023
Strany
1–4
Časopis
AIP conference proceedings, roč. 2023, č. 2849, ISSN 0094-243X
Sborník
19th International Conference of Numerical Analysis and Applied Mathematics
Vydavatel
American Institute of Physics
Místo
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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