Result 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. no. 2849, p. 1-4. ISSN: 0094-243X.
Type
conference paper
Language
English
Authors
Kučera Radek, prof. RNDr., Ph.D., FME (FME)
Arzt Vladimír, Ing.
Haslinger Jaroslav
Šátek Václav, Ing., Ph.D., DITS (FIT)
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. 

Keywords

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

URL
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
Conference
ICNAAM 2021 - 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"
}
Projects
Spolehlivé, bezpečné a efektivní počítačové systémy, BUT, Vnitřní projekty VUT, FIT-S-20-6427, start: 2020-03-01, end: 2023-02-28, completed
Research groups
High Performance Computing Research Group (RG HPC)
Intelligent Systems Research Group (RG INTSYS)
Departments
Department of Intelligent Systems (DITS)
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