Large eddy simulation of tip leakage cavitating flow focusing on cavitation-vortex interaction with Cartesian cut-cell mesh method
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摘要
In the present paper, flow configurations of cavitating flow around a straight NACA0009 foil with a gap between the foil tip and sidewall are investigated numerically by large eddy simulation(LES) coupled with Zwart-Gerber-Belamri(ZGB) cavitation model. A Cartesian cut-cell method is used for mesh generation, which is of good orthogonality and high quality. A good agreement is obtained between simulation and experiment. Two influencing factors on vorticity distributions, the interaction between different vortices and the occurrence of cavitation, are discussed in detail based on the numerical results. A series of ?-shaped loops are observed during the development of the induced vortex, which is a result of the instability of vortex pair. This finding may provide a new viewpoint to control the evolution of tip-leakage vortex(TLV) cavitation. Moreover, it is found that the dilatation term plays a much more important role in the evolution of TLV cavitation compared with that in sheet cavitation.
In the present paper, flow configurations of cavitating flow around a straight NACA0009 foil with a gap between the foil tip and sidewall are investigated numerically by large eddy simulation(LES) coupled with Zwart-Gerber-Belamri(ZGB) cavitation model. A Cartesian cut-cell method is used for mesh generation, which is of good orthogonality and high quality. A good agreement is obtained between simulation and experiment. Two influencing factors on vorticity distributions, the interaction between different vortices and the occurrence of cavitation, are discussed in detail based on the numerical results. A series of ?-shaped loops are observed during the development of the induced vortex, which is a result of the instability of vortex pair. This finding may provide a new viewpoint to control the evolution of tip-leakage vortex(TLV) cavitation. Moreover, it is found that the dilatation term plays a much more important role in the evolution of TLV cavitation compared with that in sheet cavitation.
In the present paper, flow configurations of cavitating flow around a straight NACA0009 foil with a gap between the foil tip and sidewall are investigated numerically by large eddy simulation(LES) coupled with Zwart-Gerber-Belamri(ZGB) cavitation model. A Cartesian cut-cell method is used for mesh generation, which is of good orthogonality and high quality. A good agreement is obtained between simulation and experiment. Two influencing factors on vorticity distributions, the interaction between different vortices and the occurrence of cavitation, are discussed in detail based on the numerical results. A series of ?-shaped loops are observed during the development of the induced vortex, which is a result of the instability of vortex pair. This finding may provide a new viewpoint to control the evolution of tip-leakage vortex(TLV) cavitation. Moreover, it is found that the dilatation term plays a much more important role in the evolution of TLV cavitation compared with that in sheet cavitation.
引文
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[2]Miorini R.L.,Wu H.X.,Katz J.The internal structure of the tip leakage vortex within the rotor of an axial waterjet pump[J].Journal of Turbomachinery,2011,134(3):031018.
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[6]Dreyer M.,Decaix J.,Muench-Alligne C.et al.Mind the gap:a new insight into the tip leakage vortex using stereo-PIV[J].Experiments in Fluids,2014,55(11):1849.
[7]Zhao Y.,Wang G.,Jiang Y.et al.Numerical analysis of developed tip leakage cavitating flows using a new transport-based model[J].International Communications in Heat and Mass Transfer,2016,78:39-47.
[8]Guo Q.,Zhou L.,Wang Z.et al.Numerical simu-lation for the tip leakage vortex cavitation[J].Ocean Engineering,2018,151:71-81.
[9]Wang B.L.,Liu Z.H.,Li H.Y.et al.On the numerical simulations of vortical cavitating flows around various hydrofoils[J].Journal of Hydrodynamics,2017,29(6):926-938.
[10]Cheng H.Y.,Long X.P.,Liang Y.Z.et al.URANS simulations of the tip-leakage cavitating flow with verification and validation procedures[J].Journal of Hydrodynamics,2018,30(3):531-534.
[11]Xu C.,Wang Y.,Huang C.et al.Analysis of Near-wall effect on cloud cavitating flow that surrounds an axisymmetric projectile using large eddy simulation with Cartesian cut-cell mesh method[J].European Journal of Mechanics-B/Fluids,2018,67:15-24.
[12]Benard P.,Balarac G.,Moureau V.et al.Mesh adaptation for large-eddy simulations in complex geometries[J].International Journal for Numerical Methods in Fluids,2016,81(12):719-740.
[13]Leweke T.,Dizès S.L.,Williamson C.H.K.Dynamics and instabilities of vortex pairs[J].Annual Review of Fluid Mechanics,2016.48(1):507-541.
[2]Miorini R.L.,Wu H.X.,Katz J.The internal structure of the tip leakage vortex within the rotor of an axial waterjet pump[J].Journal of Turbomachinery,2011,134(3):031018.
[3]Arndt R.E.A.Cavitation in vortical flows[J].Annual Review of Fluid Mechanics,2002,34(1):143-175.
[4]Long X.,Cheng H.,Ji B.Large eddy simulation and Euler–Lagrangian coupling investigation of the transient cavitating turbulent flow around a twisted hydrofoil[J].International Journal of Multiphase Flow,2018,100:41-56.
[5]Inoue M.,Kuroumaru M.Structure of tip clearance flow in an isolated axial compressor rotor[J].Journal of Turbomachinery,1989,111(3):250-256.
[6]Dreyer M.,Decaix J.,Muench-Alligne C.et al.Mind the gap:a new insight into the tip leakage vortex using stereo-PIV[J].Experiments in Fluids,2014,55(11):1849.
[7]Zhao Y.,Wang G.,Jiang Y.et al.Numerical analysis of developed tip leakage cavitating flows using a new transport-based model[J].International Communications in Heat and Mass Transfer,2016,78:39-47.
[8]Guo Q.,Zhou L.,Wang Z.et al.Numerical simu-lation for the tip leakage vortex cavitation[J].Ocean Engineering,2018,151:71-81.
[9]Wang B.L.,Liu Z.H.,Li H.Y.et al.On the numerical simulations of vortical cavitating flows around various hydrofoils[J].Journal of Hydrodynamics,2017,29(6):926-938.
[10]Cheng H.Y.,Long X.P.,Liang Y.Z.et al.URANS simulations of the tip-leakage cavitating flow with verification and validation procedures[J].Journal of Hydrodynamics,2018,30(3):531-534.
[11]Xu C.,Wang Y.,Huang C.et al.Analysis of Near-wall effect on cloud cavitating flow that surrounds an axisymmetric projectile using large eddy simulation with Cartesian cut-cell mesh method[J].European Journal of Mechanics-B/Fluids,2018,67:15-24.
[12]Benard P.,Balarac G.,Moureau V.et al.Mesh adaptation for large-eddy simulations in complex geometries[J].International Journal for Numerical Methods in Fluids,2016,81(12):719-740.
[13]Leweke T.,Dizès S.L.,Williamson C.H.K.Dynamics and instabilities of vortex pairs[J].Annual Review of Fluid Mechanics,2016.48(1):507-541.