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Non-reflective inlet conditions for the calculation of unsteady turbulent compressible flows at low Mach number

Published online by Cambridge University Press:  30 May 2014

Yann Moguen ,
Pascal Bruel ,
Vincent Perrier  and
Erik Dick
Yann Moguen*
Affiliation:
Universitéde Pau et des Pays de l’Adour, LMAP and Inria, Cagire Team, IPRA, Avenue de l’Université, 64013 Pau, France
Pascal Bruel
Affiliation:
CNRS, Université de Pau et des Pays de l’Adour, LMAP and Inria, Cagire Team, IPRA, Avenue de l’Université, 64013 Pau, France
Vincent Perrier
Affiliation:
Inria, Cagire Team and Université de Pau et des Pays de l’Adour, LMAP, IPRA, Avenue de l’Université, 64013 Pau, France
Erik Dick
Affiliation:
Ghent University - Department of Flow, Heat and Combustion Mechanics, Sint-Pietersnieuwstraat, 9000 Gent, Belgique
*
⋆ Corresponding author: yann.moguen@univ-pau.fr
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Abstract

For the unsteady simulation of compressible subsonic flows (Large Eddy Simulation or Direct Numerical Simulation), the proper handling of the inlet boundary is a challenging task. Indeed, inflow generation through imposition of the velocity may lead to a non-physical reflection of the upstream acoustic waves. In the present contribution, a method that allows both filtering of these waves and proper imposition of the required variables is proposed. This method is based on identification of the roles of the temporal rate of change of wave amplitudes at the inlet in the low Mach number regime. The formulation obtained is tested numerically on unsteady one-dimensional flows at low Mach number for which the unsteady inlet velocity signal is purely harmonic or harmonic with the superimposition of synthetic turbulence.

Keywords

Non-reflective boundary conditionsinlet conditionslow Mach numberturbulenceacousticsConditions aux limites non réfléchissantesconditions d’entréebas nombre de Machturbulenceacoustique
Type
Research Article
Information
Mechanics & Industry , Volume 15 , Issue 3 , 2014 , pp. 179 - 189
Copyright
© AFM, EDP Sciences 2014

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References

Thompson, K.W., Time dependent boundary conditions for hyperbolic systems, J. Comput. Phys. 68 (1987) 1–24 CrossRefGoogle Scholar
Poinsot, T.J., Lele, S.K., Boundary conditions for direct simulations of compressible viscous flow, J. Comput. Phys. 101 (1992) 104–129 CrossRefGoogle Scholar
Rudy, D.H., Strikwerda, J.C., A nonreflecting outflow boundary condition for subsonic Navier-Stokes calculations, J. Comput. Phys. 36 (1980) 55–70 CrossRefGoogle Scholar
Selle, L., Nicoud, F., Poinsot, T., Actual impedance of nonreflecting boundary conditions: Implications for computation of resonators, AIAA J. 42 (2004) 958–964 CrossRefGoogle Scholar
Moguen, Y., Bruel, P., Dick, E., Semi-implicit characteristic-based boundary treatment for acoustics in low Mach number flows, J. Comput. Phys. 255 (2013) 339–361 CrossRefGoogle Scholar
Pirozzoli, S., Colonius, T., Generalized characteristic relaxation boundary conditions for unsteady compressible flow simulations, J. Comput. Phys. 248 (2013) 109–126 CrossRefGoogle Scholar
Polifke, W., Wall, C., Moin, P., Partially reflecting and non-reflecting boundary conditions for simulation of compressible viscous flow, J. Comput. Phys. 213 (2006) 437−449 CrossRefGoogle Scholar
Prosser, R., Towards improved boundary conditions for the DNS and LES of turbulent subsonic flows, J. Comput. Phys. 222 (2005) 469–474 CrossRefGoogle Scholar
Guézennec, N., Poinsot, T., Acoustically nonreflecting and reflecting boundary conditions for vorticity injection in compressible solvers, AIAA J. 47 (2009) 1709–1722 CrossRefGoogle Scholar
Taylor, G.I., The spectrum of turbulence, Proc. R. Soc. Lond. A 164 (1938) 476–490 CrossRefGoogle Scholar
Moguen, Y., Kousksou, T., Bruel, P., Vierendeels, J., Dick, E., Pressure-velocity coupling allowing acoustic calculation in low Mach number flow, J. Comput. Phys. 231 (2012) 5522–5541 CrossRefGoogle Scholar
Shen, W.Z., Michelsen, J.A., Sørensen, J.N., Improved Rhie-Chow interpolation for unsteady flow computations, AIAA J. 39 (2001) 2406–2409 CrossRefGoogle Scholar
Biferale, L., Boffetta, G., Celani, A., Crisanti, A., Vulpiani, A., Mimicking a turbulent signal: Sequential multiaffine processes, Phys. Rev. E 57 (1998) R6261–R6264 CrossRefGoogle Scholar
Wilson, J.D., Zhuang, Y., Restriction on the timestep to be used in stochastic Lagrangian models of turbulent dispersion, Bound.-Lay. Meteorol. 49 (1989) 309–316 CrossRefGoogle Scholar