Issue |
ESAIM: ProcS
Volume 63, 2018
CEMRACS 2016 - Numerical challenges in parallel scientific computing
|
|
---|---|---|
Page(s) | 280 - 289 | |
DOI | https://doi.org/10.1051/proc/201863280 | |
Published online | 19 October 2018 |
Numerical Simulation of Wall-Bounded Flows using a Spectral Method with Volume Penalization★
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
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].
Résumé
La méthode de pénalisation en volume, qui permet d’imposer des conditions aux limites non glissement, est analysée pour des écoulements avec parois. Pour la solution numérique des équations pénalisées une méthode spectrale est utilisée. Nous considerons un écoulement bidimensionnel de type Poiseuille et la solution exacte des équations pénaliées est calculée analytiquement. Ensuite nous étudierons la convergence de la solution numérique. Des simulations d’un écoulement tridimensionnel turbulent dans un canal avec un débit constant montrent les propriétés de cette approche.
© EDP Sciences, SMAI 2018
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