Geodesic
Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization
Yoichi Sawamura1 ; Katsunori Yoshimatsu2 ; Kai Schneider3
1Department of Computational Science and Engineering, Nagoya University, Nagoya, 464-8603, Japan
2Institute of Materials and Systems for Sustainability, Nagoya University, Nagoya, 464-8601, Japan
3Institut 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
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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},
     year = {2018},
     volume = {63},
     doi = {10.1051/proc/201863280},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201863280/}
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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

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