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基于 Level set方法的不同湍流模型在水翼空化流计算中的应用研究 439 HUANG Biao, WANG Guo-yu, QUAN XIao-bo, et al. [13 JOHANSEN S T, WU J, WEI S. Filter-based unsteady RANS computations]. International Journal of Heat method in computations of turbulent cavitating flows] luid flow,2004,25(1).10-21 Chinese Journal of Applied Mechanics, 2011, 28(4): [14 GIRIMAJIS S Partially-Averaged Navier-Stokes model 339-343. for turbulence: A Reynolds-Averaged Navier-Stokes to 5 JI B, LUo X, wU Y, et al. Numerical investigation of direct numerical simulation bridging method[J] Journal three-dimensional cavitation evolution and excited of Applied Mechanics, 2006, 73(3): 413 ressure fluctuations around a twisted hydrofoil[15]季斌,罗先武,彭晓星,等.绕扭曲翼型三维非定常空 Journal of Mechanical Science Technology, 2014 泡脱落结构的数值分析水动力学研究与进展 8(7):2659-2668 2010,25(2):217-223. [6]王福军.计算流体动力学分析[M]北京:清华大学 JI Bin, LUO Xian-wu, PENG Xiao-xing, et al 出版社,2004 Numerical analysis for three dimensional unsteady WANG Fu-jun. Computational Fluid Dynamic cavitation shedding structure over a twisted hydrofoil] Analysis[M]. Beijing: Tsinghua University Press, 2004 Chinese Journal of Hydrodynamics, 2010, 25(2) [7 JI B, LONG Y, LONG X P, et al. Large eddy simulation 217-223 of turbulent attached cavitating flow with special [16 SUSSMAN M, SMEREKA P, OSHER S. A Level Set emphasis on large scale structures of the hydrofoil wake approach for computing solutions to incompressible and turbulence-cavitation interactions[]. Journal of two-phase flow]. Journal of Computational Physics. Hydrodynamics, 2017, 29(1): 27-39. 1994,114(1):146-159 [8 LI L, LI B, HU Z, et al. Large eddy simulation of [17 HUANG B, WANGG Y, ZHANG M D, et al. Level set method for simulation of cavitating flows J]. Journal of e-average validation]. Ocean Engineering, 2016, Ship mechanics, 2011. 15(3): 208-216 125:1-11 [18]王琳琳,田辉,李国君.基于 Level Set方法对油水和 [9 WILCOX D C. Turbulence modeling for CFDIM] Cali 气水两相界面的数值模拟应用力学学报,2010 fornia: DCW Industries. 2006 27(2):298-302 [10 LAUNDER B E, SPALDING D B WANG Lin-lin, TIAN Hui, LI Guo-jun. Numerical matical models of turbulence[M). N simulation of oil-water and air-water two-phase flow in mathematical models of turbulence academic press based on level set methods[J]. Chinese Journal of 1972 Applied Mechanics, 2010, 27(2 ): 298-30 [1 MENTER F, EGOROV Y. A scale adaptive simulation [19 MENTER FR. Two-equation eddy-viscosity turbulence sing two-equation models[C]. Aiaa Aerospa models for engineering applications]. Aiaa Journal ciences Meeting and Exhibit. Reno, nV, United states. 1994,32(8):1598-1605 [12] EGOROV Y, MENTER F Development and application of Sst-sas turbulence model in the deSider project[M]. Berlin: Springer Berlin Heidelberg, 2008伏雨,等:基于 Level set 方法的不同湍流模型在水翼空化流计算中的应用研究 439 HUANG Biao, WANG Guo-yu, QUAN Xiao-bo, et al. Application of the partially-averaged Navier-Stokes method in computations of turbulent cavitating flows[J]. Chinese Journal of Applied Mechanics, 2011, 28(4): 339-343. [5] JI B, LUO X, WU Y, et al. Numerical investigation of three-dimensional cavitation evolution and excited pressure fluctuations around a twisted hydrofoil[J]. Journal of Mechanical Science & Technology, 2014, 28(7): 2659-2668. [6] 王福军. 计算流体动力学分析[M]. 北京: 清华大学 出版社, 2004. WANG Fu-jun. Computational Fluid Dynamics Analysis[M]. Beijing: Tsinghua University Press, 2004. [7] JI B, LONG Y, LONG X P, et al. Large eddy simulation of turbulent attached cavitating flow with special emphasis on large scale structures of the hydrofoil wake and turbulence-cavitation interactions[J]. Journal of Hydrodynamics, 2017, 29(1): 27-39. [8] LI L, LI B, HU Z, et al. Large eddy simulation of unsteady shedding behavior in cavitating flows with time-average validation[J]. Ocean Engineering, 2016, 125: 1-11. [9] WILCOX D C. Turbulence modeling for CFD[M]. Cali￾fornia: DCW Industries, 2006. [10] LAUNDER B E, SPALDING D B. Lectures in mathe￾matical models of turbulence[M]. New York: Lectures in mathematical models of turbulence Academic Press, 1972. [11] MENTER F, EGOROV Y. A scale adaptive simulation model using two-equation models[C]. Aiaa Aerospace Sciences Meeting and Exhibit. Reno, NV, United states. 2005. [12] EGOROV Y, MENTER F. Development and application of SST-SAS turbulence model in the DESIDER project[M]. Berlin: Springer Berlin Heidelberg, 2008. [13] JOHANSEN S T, WU J, WEI S. Filter-based unsteady RANS computations[J]. International Journal of Heat & Fluid Flow, 2004, 25(1): 10-21. [14] GIRIMAJI S S. Partially-Averaged Navier-Stokes model for turbulence: A Reynolds-Averaged Navier-Stokes to direct numerical simulation bridging method[J]. Journal of Applied Mechanics, 2006, 73(3): 413. [15] 季斌, 罗先武, 彭晓星,等. 绕扭曲翼型三维非定常空 泡脱落结构的数值分析[J]. 水动力学研究与进展, 2010, 25(2): 217-223. JI Bin, LUO Xian-wu, PENG Xiao-xing,et al. Numerical analysis for three dimensional unsteady cavitation shedding structure over a twisted hydrofoil[J]. Chinese Journal of Hydrodynamics, 2010, 25(2): 217-223. [16] SUSSMAN M, SMEREKA P, OSHER S. A Level Set approach for computing solutions to incompressible two-phase flow[J]. Journal of Computational Physics. 1994, 114(1): 146-159. [17] HUANG B, WANG G Y, ZHANG M D, et al. Level set method for simulation of cavitating flows[J]. Journal of Ship Mechanics, 2011. 15(3):208-216. [18] 王琳琳, 田辉, 李国君. 基于 Level Set 方法对油水和 气水两相界面的数值模拟[J]. 应用力学学报, 2010, 27(2): 298-302. WANG Lin-lin, TIAN Hui, LI Guo-jun. Numerical simulation of oil-water and air-water two-phase flow based on level set methods[J]. Chinese Journal of Applied Mechanics,2010,27(2):298-302. [19] MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. Aiaa Journal, 1994, 32(8): 1598-1605
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