Abstract
The objective is to evaluate the applicability of the penalty method for practically high-Re flows and to investigate the influence of wall model on the quality of the predicted results. This penalty method is introduced at first time on staggered Cartesian grid and then using unstructured mesh. For validation, due to faster convergence, 2D finite volume method in a cartesian grid is used to numerically investigate the incompressible unsteady laminar (Re = 100) and turbulent (Re = 3900) flow around a circular cylinder and the turbulent flow in a channel at \(Re_{u_{\tau}}=395\). 3D simulation is performed on an unstructured grid to simulate the turbulent flow behind a circular cylinder at Re = 3900 without the use of a wall model.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Sarthou, A., Vincent, S., Angot, P., Caltagirone, J.P.: The sub-mesh penalty method. Finite Volumes for Complex Applications V, 633–640 (2008)
Balaras, E., Benocci, C., Piomelli, U.: Two-Layer Approximate Boundary Conditions for Large Eddy Simulations. AIAA J. 34, 1111–1119 (1996)
Tessicini, F., Iaccarino, G., Fatica, M., Wang, M., Verzicco, R.: CTR, Ann. Res. Briefs, 349 (2005)
Kalitzin, G., Iaccarino, G.: CTR, Ann. Res. Briefs, 415 (2002)
Archambeau, F., Méchitoua, N., Sakiz, M.: Code Saturne: A Finite Volume Code for Turbulent flows - Industrial applications. Int. J. Finite Vol. 1, 1–62 (2004)
Khadra, K., Angot, P., Parneix, S., Caltagirone, J.-P.: Fictitious domain approach for numerical modelling of Navier-Stokes equations. Int. J. Numer. Meth. Fluids 34, 651–684 (2000)
Vincent, S., Caltagirone, J.-P.: A one-cell local multigrid method for solving unsteady incompressible multiphase flows. J. Comput. Phys. 163, 172–215 (2000)
Arquis, E.: Transferts en milieu poreux et á l’interface: de l’échelle microscopique à l’échelle macroscopique. PhD thesis, Université Bordeaux I (1984)
Vanella, M., Balaras, E.: A moving-least-squares reconstruction for embedded-boundary formulations. J. Comput. Phys. 228, 6617–6628 (2009)
Marchioli, C., Armanio, V., Soldati, A.: Simple and accurate scheme for fluid velocity interpolation for Eulerian–Lagrangian computation of dispersed flows in 3D curvilinear grids. Comput. Fluids 36, 1187–1198 (2007)
Aslam, T.D.: A partial differential equation approach to multidimensional extrapolation. J. Comput. Phys. 193, 349–355 (2004)
Spalart, P.R., Allmaras, S.R.: A One-Equation Turbulence Model for Aerodynamic Flows. La Recherche Aérospatiale 1, 5–21 (1994)
Kim, J., Kim, D., Choi, H.: An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys. 171, 132–150 (2001)
Yang, J., Bhushan, S., Suh, J.S., Wang, Z., Koo, B., Sakamoto, N., Xing, T., Stern, F.: Large-Eddy Simulation of Ship Flows with Wall-Layer Models on Cartesian Grids. In: 27th Symposium on Naval Hydrodynamics Seoul, Korea (2008)
Tritton, D.J.: Note on the effect of a nearby obstacle on turbulence intensity in a boundary layer. J. Fluid Mech. 6, 547–567 (1959)
Le, D.V., Khoo, B.C., Peraire, J.: An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries. J. Comput. Phys. 220, 109–138 (2006)
Moser, R.D., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to Re= 590. Phys. Fluids 11, 943500 (1999)
Medic, G., Daenincky, G., Templeton, J.A.: A framework for near-wall RANS/LES coupling. Center for Turbulence Research, Annual Research Briefs (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bizid, W., Etcheverlepo, A., Vincent, S., Caltagirone, J.P., Monfort, D., Hassine, M. (2014). Penalty Methods for Turbulent Flows Interacting with Obstacles. In: Deville, M., Estivalezes, JL., Gleize, V., Lê, TH., Terracol, M., Vincent, S. (eds) Turbulence and Interactions. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43489-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-43489-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-43488-8
Online ISBN: 978-3-662-43489-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)