Geodesic
Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization
Yoichi Sawamura1 ; Katsunori Yoshimatsu2 ; Kai Schneider3
1 Department of Computational Science and Engineering, Nagoya University, Nagoya, 464-8603, Japan
2 Institute of Materials and Systems for Sustainability, Nagoya University, Nagoya, 464-8601, Japan
3 Institut de Mathmatiques de Marseille, CNRS, Aix-Marseille Université, 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France
ESAIM. Proceedings, Tome 63 (2018), pp. 280-289.

Voir la notice de l'article provenant de la source EDP Sciences

The volume penalization method, which allows to impose no-slip boundary conditions, is assessed for wall-bounded flows. For the numerical solution of the penalized equations a spectral method is used. Considering a two-dimensional Poiseuille flow, the solution of the Navier-Stokes penalized equation is computed analytically and the convergence of the numerical solution is studied. To illustrate the properties of the approach we compute a three-dimensional turbulent channel flow imposing a constant flow rate. The obtained results are compared with reference data of Kim et al. [10].
DOI : 10.1051/proc/201863280

Yoichi Sawamura 1 ; Katsunori Yoshimatsu 2 ; Kai Schneider 3

1 Department of Computational Science and Engineering, Nagoya University, Nagoya, 464-8603, Japan
2 Institute of Materials and Systems for Sustainability, Nagoya University, Nagoya, 464-8601, Japan
3 Institut de Mathmatiques de Marseille, CNRS, Aix-Marseille Université, 39 rue F. Joliot-Curie, 13453 Marseille Cedex 13, France 
@article{EP_2018_63_a13,
     author = {Yoichi Sawamura and Katsunori Yoshimatsu and Kai Schneider},
     title = {Numerical {Simulation} of {Wall-Bounded} {Flows} using a {Spectral} {Method} with {Volume} {Penalization}},
     journal = {ESAIM. Proceedings},
     pages = {280--289},
     publisher = {mathdoc},
     volume = {63},
     year = {2018},
     doi = {10.1051/proc/201863280},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201863280/}
}
TY  - JOUR
AU  - Yoichi Sawamura
AU  - Katsunori Yoshimatsu
AU  - Kai Schneider
TI  - Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization
JO  - ESAIM. Proceedings
PY  - 2018
SP  - 280
EP  - 289
VL  - 63
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201863280/
DO  - 10.1051/proc/201863280
LA  - en
ID  - EP_2018_63_a13
ER  - 
%0 Journal Article
%A Yoichi Sawamura
%A Katsunori Yoshimatsu
%A Kai Schneider
%T Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization
%J ESAIM. Proceedings
%D 2018
%P 280-289
%V 63
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201863280/
%R 10.1051/proc/201863280
%G en
%F EP_2018_63_a13
Yoichi Sawamura; Katsunori Yoshimatsu; Kai Schneider. Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization. ESAIM. Proceedings, Tome 63 (2018), pp. 280-289. doi : 10.1051/proc/201863280. http://geodesic.mathdoc.fr/articles/10.1051/proc/201863280/

Cité par Sources :