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http://dx.doi.org/10.6112/kscfe.2011.16.2.049

LARGE EDDY SIMULATION OF FULLY TURBULENT WAVY CHANNEL FLOW USING RESIDUAL-BASED VARIATIONAL MULTI-SCALE METHOD  

Chang, Kyoung-Sik (한서대학교 항공기계학과)
Yoon, Bum-Sang (울산대학교 조선해양공학과)
Lee, Joo-Sung (울산대학교 조선해양공학과)
Publication Information
Journal of computational fluids engineering / v.16, no.2, 2011 , pp. 49-55 More about this Journal
Abstract
Turbulent flows with wavy wall are simulated using Residual-based Variational Multiscale Method (RB-VMS) which is proposed by Bazilves et al(2007) as new Large Eddy Simulation methodology. Incompressible Navier-Stokes equations are integrated using Isogeometric analysis which adopt the basis function as NURBS. The Reynolds number is 6760 based on the bulk velocity and averaged channel height. And the amplitude (${\alpha}/{\lambda}$) of wavy wall is 0.05. The computational domain is $2{\lambda}{\times}1.05{\lambda}{\times}{\lambda}$ in the streamwise, wall normal and spanwise direction. Mean quantities and turbulent statistics near wavy wall are compared with DNS results of Cherukat et al.(1998). The predicted results show good agreement with reference data.
Keywords
Variational Multi-scale Method; Isogeometric analysis; Wavy Wall; Turbulent flow;
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  • Reference
1 2000, Dubief, Y. and Delcayre, F., "On coherent-vortex identification in turbulence", Journal of Turbulence, Vol. 1, pp.1-20.   DOI
2 2009, Yoon, H.S., El-Samni, O.A., Huynh, A.T., Chun, H.H., Kim, H.J., Pham, A.H. and Park, I.R., "Effect of wave amplitude on turbulent flow in a wavy channel by direct numerical simulation," Ocean Engineering, Vol.36, pp. 697-707.   DOI   ScienceOn
3 2000, Hughes, T.J.R., Mazzei, L. and Jansen, K.E., "Large-eddy simulation and variational multiscale method," Computing and Visualization in Science, Vol.3, pp.47-59.   DOI   ScienceOn
4 2007, Bazilevs, Y., Calo, V.M., Cottrell, J.A., Hughes, T.J.R., Reali, A. and Scovazzi, G., "Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flow," Comput. Methods Appl. Engrg., Vol.197, pp.173-201.   DOI   ScienceOn
5 2007, Hughes, T.J.R. and Sangalli, G., "Variational multiscale analysis : the finescale Green's function, projection, optimization, localization, and stabilized methods," SIAM Journal of Numerical Analysis, Vol.45, pp.539-557.   DOI   ScienceOn
6 1987, Johnson, C., "Numerical solution of partial differential equations by the finite element method," Cambridge University Press, Sweden.
7 1982, Brooks, A.N. and Hughes, T.J.R., "Streamline Upwind/Petrov-Galerkin Formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations," Computer Methods in Applied Mechanics and Engineering, Vol.32, pp.199-259.   DOI   ScienceOn
8 1985, Donea, J., Belytschko, T. and Smolinski, P., "A generalized Galerkin method for steady state convection -diffusion problems with application to quadratic shape fuction," Computer Methods in Applied Mechanics and Engineering, Vol.48, pp.25-43.   DOI   ScienceOn
9 1999, Jansen, K.E., Collis, S.S., Whiting, C.H. and Shakib, F., "A better consistency for low-order stabilized finite element methods," Computer Methods in Applied Mechanics and Engineering, Vol.190, pp.305-319.
10 1996, Hudson, J.D., Dykhno, L., and Hanratty, T.J. "Turbulence production in flow over a wavy wall," Experiments in Fluids, Vol.20, pp.257-265.
11 1994, Maass, C., and Schumann, U., "Numerical simulation of turbulent flow over a wavy boundary," Proc. First ERCOFTAC Workshop on Direct and Large Eddy Simulation, pp.287-297.
12 1998, Cherukat, P., Na, Y., Hanratty, T.J., "Direct numerical simulation of a fully developed turbulent flow over a wavy wall," Theoretical and computational fluid dynamics, Vol.11, pp.109-134.   DOI   ScienceOn