Robust analysis of cavitating flows in the Venturi tube

European Journal of Mechanics - B/Fluids - Tập 44 - Trang 88-99 - 2014
M.G. Rodio1, P.M. Congedo1
1Team BACCHUS, INRIA Bordeaux Sud-Ouest, Talence, 33405 Cedex, France

Tài liệu tham khảo

A. Hosangadi, V. Ahuja, A numerical study of cavitation in cryogenic fluids, part II: new unsteady model for dense cloud formation, in: Proceedings of the 6th International Symposium on Cavitation, Wageningen, The Netherlands, 2006. Saurel, 2001, A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation, J. Fluid Mech., 431, 239, 10.1017/S0022112000003098 Wang, 1998, One-dimensional bubbly cavitating flows through a converging-diverging nozzle, J. Fluids Eng., 120, 166, 10.1115/1.2819642 Delale, 2001, Quasi-one-dimensional steady-state cavitating nozzle flows, J. Fluid Mech., 427, 167, 10.1017/S0022112000002330 Rodio, 2012, A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation, Int. J. Heat Mass Transfer, 55, 6538, 10.1016/j.ijheatmasstransfer.2012.06.060 Goncalves, 2009, Numerical simulation of cavitating flows with homogeneous models, Comput. Fluids, 38, 1682, 10.1016/j.compfluid.2009.03.001 Shin, 2003, Numerical simulation of unsteady cavitating flows using a homogeneous equilibrium model, Comput. Mech., 30, 388, 10.1007/s00466-003-0414-7 Chen, 2008, A homogeneous-equilibrium-model based numerical code for cavitation flows and evaluation by computation cases, J. Hydrodyn., 20, 186, 10.1016/S1001-6058(08)60045-1 Habchi, 2010, Multidimensional simulation of cavitating flows in diesel injectors by a homogeneous mixture modeling approach, Atomization Sprays, 18, 129, 10.1615/AtomizSpr.v18.i2.20 Goncalves, 2010, Numerical study of cavitating flows with thermodynamic effect, Comput. Fluids, 39, 99, 10.1016/j.compfluid.2009.07.009 Goncalves, 2011, Constraints on equation of state for cavitating flows with thermodynamic effects, Appl. Math. Comput., 217, 5095, 10.1016/j.amc.2010.07.056 Tseng, 2010, Modeling for isothermal and cryogenic cavitation, Int. J. Heat Mass Transfer, 53, 513, 10.1016/j.ijheatmasstransfer.2009.09.005 Zhang, 2008, Computational fluid dynamic study on cavitation in liquid nitrogen, Cryogenics, 48, 432, 10.1016/j.cryogenics.2008.05.007 Kubota, 1992, A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section, J. Fluid Mech., 240, 59, 10.1017/S002211209200003X Yuan, 2001, Modeling and computation of unsteady cavitation flows in injection nozzles, Mec. Ind., 2, 383 Senocak, 2004, Interfacial dynamics-based modelling of turbulent cavitating flows, part-1: model development and steady-state computations, Internat. J. Numer. Methods Fluids, 44, 975, 10.1002/fld.692 Kunz, 2000, A preconditioned Navier–Stokes method for two-phase flows with application to cavitation prediction, Comput. & Fluids, 29, 849, 10.1016/S0045-7930(99)00039-0 Saurel, 2008, Modelling phase transition in metastable liquids: application to cavitating and flashing flows, J. Fluid Mech., 607, 313, 10.1017/S0022112008002061 Zein, 2010, Modeling phase transition for compressible two-phase flows applied to metastable liquids, J. Comput. Phys., 229, 2964, 10.1016/j.jcp.2009.12.026 Perigaud, 2005, A compressible flow model with capillary effects, J. Comput. Phys., 209, 139, 10.1016/j.jcp.2005.03.018 Goncalves, 2013, Numerical study of expansion tube problems: toward the simulation of cavitation, Comput. & Fluids, 72, 1, 10.1016/j.compfluid.2012.11.019 Ghanem, 1991 Xiu, 2002, The Wiener–Askey polynomial chaos for stochastic differential equations, J. Sci. Comput., 26 Babuska, 2004, Galerkin finite elements approximation of stochastic finite elements, SIAM J. Numer. Anal., 42, 800, 10.1137/S0036142902418680 Constantine, 2010, Spectral methods for parameterized matrix equations, SIAM J. Matrix Anal. Appl., 31, 2681, 10.1137/090755965 Le Maitre, 2001, A stochastic projection method for fluid flow, I: basic formulation, J. Comput. Phys., 173, 481, 10.1006/jcph.2001.6889 Le Maitre, 2002, A stochastic projection method for fluid flow, II. random process, J. Comput. Phys., 181, 9, 10.1006/jcph.2002.7104 Reagan, 2003, Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection, Combust. Flame, 132, 545, 10.1016/S0010-2180(02)00503-5 Crestaux, 2009, Polynomial chaos expansion for sensitivity analysis, Reliab. Eng. Syst. Saf., 94, 1161, 10.1016/j.ress.2008.10.008 Congedo, 2011, Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties, Comput. Methods Appl. Mech. Eng., 200, 216, 10.1016/j.cma.2010.08.006 Li, 2006, Stochastic study of cavitation bubbles near boundary wall, J. Hydrodyn., 18, 487, 10.1016/S1001-6058(06)60099-1 Fariborza, 1986, Intergranular creep cavitation with time-discrete stochastic nucleation, Acta Metall., 34, 1433, 10.1016/0001-6160(86)90031-3 E. Giannadakis, D. Papoulias, M. Gavai, W. Tang, Evaluation of the predictive capability of diesel nozzle cavitation models, in: Proceedings of SAE International Congress, Detroit, 2007. Mishra, 2010, Modeling the coupling of reaction kinetics and hydrodynamics in a collapsing cavity, Ultrason. Sonochem., 17, 258, 10.1016/j.ultsonch.2009.05.014 Wilczynski, 2000, Stochastic modeling of cavitation phenomena in turbulent flow, Adv. Fluid Mech. III, 29, 1 Goel, 2008, Surrogate model-based strategy for cryogenic cavitation model validation and sensitivity evaluation, Internat. J. Numer. Methods Fluids, 58, 969, 10.1002/fld.1779 Launder, 1972 Launder, 1974, The numerical computation of turbulent flows, Comput. Methods Appl. Mech. Eng., 3, 269, 10.1016/0045-7825(74)90029-2 G.H. Schnerr, J. Sauer, Physical and numerical modeling of unsteady cavitation dynamics, in: Fourth International Conference on Multiphase Flow, New Orleans, USA, 2001. Fourth International Conference on Multiphase Flow. Brennen, 1995 Barre, 2009, Experiments and modelling of cavitating flows in venturi: attached sheet cavitation, Eur. J. Mech. B/Fluids, 28, 444, 10.1016/j.euromechflu.2008.09.001 Stutz, 1997, Two-phase flow structure of sheet cavitation, Phys. Fluids, 9, 1 Roache, 1998 Goncalves, 2009, Numerical simulation of cavitating flows with homogeneous models, Comput. Fluids, 38, 1682, 10.1016/j.compfluid.2009.03.001