Publication result detail

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

KUČERA, R.; ŠÁTEK, V.

Original Title

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

English Title

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

Type

Paper in proceedings (conference paper)

Original 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. 

English 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

Key words in English

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

Authors

KUČERA, R.; ŠÁTEK, V.

RIV year

2024

Released

01.09.2023

Publisher

American Institute of Physics

Location

Rhodes

Book

19th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

2023

Number

2849

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

https://watermark.silverchair.com/310005_1_5.0162188.pdf?token=AQECAHi208BE49Ooan9kkhW_Ercy7Dm3ZL_9Cf3qfKAc485ysgAABYgwggWEBgkqhkiG9w0BBwagggV1MIIFcQIBADCCBWoGCSqGSIb3DQEHATAeBglghkgBZQMEAS4wEQQM3c5XcGdrmL4ia6ztAgEQgIIFO01_tjIURnGhzKlBx8r-rnE05GI9rojZLKQV

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"
}