Browse > Article
http://dx.doi.org/10.12989/aas.2017.4.5.555

Unstructured discretisation of a non-local transition model for turbomachinery flows  

Ferrero, Andrea (INRIA Bordeaux Sud-Ouest and Universite de Bordeaux)
Larocca, Francesco (Politecnico di Torino)
Bernaschek, Verena (Technische Universitat Braunschweig)
Publication Information
Advances in aircraft and spacecraft science / v.4, no.5, 2017 , pp. 555-571 More about this Journal
Abstract
The description of transitional flows by means of RANS equations is sometimes based on non-local approaches which require the computation of some boundary layer properties. In this work a non-local Laminar Kinetic Energy model is used to predict transitional and separated flows. Usually the non-local term of this model is evaluated along the grid lines of a structured mesh. An alternative approach, which does not rely on grid lines, is introduced in the present work. This new approach allows the use of fully unstructured meshes. Furthermore, it reduces the grid-dependence of the predicted results. The approach is employed to study the transitional flows in the T106c turbine cascade and around a NACA0021 airfoil by means of a discontinuous Galerkin method. The local nature of the discontinuous Galerkin reconstruction is exploited to implement an adaptive algorithm which automatically refines the mesh in the most significant regions.
Keywords
transition; laminar kinetic energy; unstructured mesh; discontinuous galerkin; adaptive mesh;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Babajee, J. (2013), "Detailed numerical characterization of the separation-induced transition, including bursting, in a low-pressure turbine environment", Ph.D. Dissertation, Ecole Centrale de Lyon, Institut Von Karman de Dynamique des Fluides, Rhode-Saint-Genese, Belgium.
2 Bassi, F., Botti, L., Colombo, A., Crivellini, A., Franchina, N., Ghidoni, A. and Rebay, S. (2010), Very High-Order Accurate Discontinuous Galerkin Computation of Transonic Turbulent Flows on Aeronautical Configurations, ADIGMA-A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications, 25-38.
3 Bassi, F., Botti, L., Colombo, A., Di Pietro, D.A. and Tesini, P. (2012), "On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations", J. Comput. Phys., 231(1), 45-65.   DOI
4 Bassi, F., Crivellini, A., Rebay, S. and Savini, M. (2005), "Discontinuous Galerkin solution of the reynoldsaveraged navier-stokes and k-${\omega}$ turbulence model equations", Comput. Flu., 34(4), 507-540.   DOI
5 Bode, C., Aufderheide, T., Friedrichs, J. and Kozulovic, D. (2014), "Correlation based inlet boundary conditions for improved turbulence and transition prediction in turbomachinery flows", Proceedings of the 6th European Conference on Computational Fluid Dynamics, Barcelona, Spain, July.
6 Marciniak, V., Weber, A. and Kugeler, E. (2014), "Modelling transition for the design of modern axial turbomachines", Proceedings of the 11th World Congress on Computational Mechanics, Barcelona, Spain, July.
7 Mayle, R.E. and Schulz, A. (1997), "The path to predicting bypass transition", J. Turbomach., 119(3), 405-411.   DOI
8 Michalek, J., Monaldi, M. and Arts, T. (2012), "Aerodynamic performance of a very high lift low pressure turbine airfoil (T106C) at low reynolds and high mach number with effect of free stream turbulence intensity", J. Turbomach., 134(6), 061009.   DOI
9 Michelassi, V., Wissink, J. and Rodi, W. (2002), "Analysis of DNS and LES of flow in a low pressure turbine cascade with incoming wakes and comparison with experiments", Fl. Turbul. Combust., 69(3-4), 295-329.   DOI
10 Osher, S. and Solomon, F. (1982), "Upwind difference schemes for hyperbolic systems of conservation laws", Math. Comput., 38(158), 339-374.   DOI
11 Pacciani, R., Marconcini, M., Fadai-Ghotbi, A., Lardeau, S. and Leschziner, M.A. (2011), "Calculation of high-lift cascades in low pressure turbine conditions using a three-equation model", J. Turbomach., 133(3), 031016.   DOI
12 Pandolfi, M. (1984), "A contribution to the numerical prediction of unsteady flows", AIAA J., 22(5), 602-610.   DOI
13 Sjolander, R.L.S. and Langtry, R. (2002), "Prediction of transition for attached and separated shear layers in turbomachinery", Proceedings of the 38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Indianapolis, Indiana, U.S.A., July.
14 Spalart, P.R. and Rumsey, C.L. (2007), "Effective inflow conditions for turbulence models in aerodynamic calculations", AIAA J., 45(10), 2544-2553.   DOI
15 Deters, R.W., Ananda, G.K. and Selig, M.S. (2014), "Reynolds number effects on the performance of smallscale propellers", Proceedings of the 32nd AIAA Applied Aerodynamics Conference, Atlanta, U.S.A., June.
16 Choudhry, A., Arjomandi, M. and Kelso, R. (2015), "A study of long separation bubble on thick airfoils and its consequent effects", J. Heat Flu. Fl., 52, 84-96.   DOI
17 De Wiart, C.C. and Hillewaert, K. (2015), "A discontinuous Galerkin method for implicit LES of moderate Reynolds number flows", Proceedings of the AIAA Aerospace Sciences Meeting, AIAA Science and Technology Forum, Kissimmee, Florida, U.S.A., January.
18 De Wiart, C.C., Hillewaert, K. and Geuzaine, P. (2012), "DNS of a low pressure turbine blade computed with the discontinuous Galerkin method", Proceedings of the ASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Copenhagen, Denmark, June.
19 Ferrero, A., Larocca, F. and Puppo, G. (2015), "A robust and adaptive recovery-based discontinuous Galerkin method for the numerical solution of convection-diffusion equations", J. Numer. Meth. Fl., 77(2), 63-91.   DOI
20 Geuzaine, C. and Remacle, J.F. (2009), "Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing facilities", J. Numer. Meth. Eng., 79(11), 1309-1331.   DOI
21 Hansen, K.L. (2012), "Effect of leading edge tubercles on airfoil performance", Ph.D. Dissertation, The University of Adelaide, Adelaide, Australia.
22 Hansen, K.L., Kelso, R.M. and Dally, B.B. (2011), "Performance variations of leading-edge tubercles for distinct airfoil profiles", AIAA J., 49(1), 185-194.   DOI
23 Hourmouziadis, J. (1989), Aerodynamic Design of Low Pressure Turbines, AGARD, Blading Design for Axial Turbomachines, 40.
24 Wilcox, D.C. (1998), Turbulence Modeling For CFD, DCW Industries, La Canada, California, U.S.A.
25 Tucker, P.G. (2013), "Trends in turbomachinery turbulence treatments", Prog. Aerosp. Sci., 63(1), 1-32.
26 Walters, D.K. and Cokljat, D. (2008), "A three-equation eddy-viscosity model for reynolds-averaged navierstokes simulations of transitional flow", J. Flu. Eng., 130(12), 1-14.
27 Walters, D.K. and Leylek, J.H. (2005), "Computational fluid dynamics study of wake-induced transition on a compressor-like flat plate", J. Turbomach., 127(1), 52-63.   DOI
28 Yershov, S., Derevyanko, A., Yakovlev, V. and Gryzun, M. (2016), "Influence of laminar-turbulent transition on 3D flow pattern in subsonic turbine cascade", Proceedings of the 52nd AIAA/SAE/ASEE Joint Propulsion Conference, Salt Lake City, Utah, U.S.A., July.
29 Langtry, R.B. and Menter, F.R. (2009), "Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes", AIAA J., 47(12), 2894-2906.   DOI
30 Kozulovic, D. and Lapworth, B.L. (2007), "An approach for inclusion of a non-local transition model in a parallel unstructured CFD code", Proceedings of the 5th SME/JSME Joint Fluids Engineering Conference, San Diego, California, U.S.A., July.
31 Lardeau, S., Leschziner, M.A. and Li, N. (2004), "Modelling bypass transition with low-reynolds-number nonlinear eddy-viscosity closure", Flow Turbul. Combust., 73(1), 49-76.   DOI
32 Leicht, T. and Hartmann, R. (2010), "Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations", J. Comput. Phys., 229(19), 7344-7360.   DOI
33 Lukarski, D. and Trost, N. (2014), Paralution Project, http://www.paralution.com.
34 Marciniak, V. (2015), "Modeling flows in low-pressure turbine cascades at very low reynolds numbers", CEAS Aeronaut. J., 6(2), 257-270.   DOI