[1] Ayyildiz M, Saydam AZ, Ozbulut M (2019) A numerical study on the hydrodynamic performance of an immersed foil: Uncertainty quantification of RANS and SPH methods. Computers & Fluids 191: 104248. https://doi.org/10.1016/j.compfuid.2019.104248
[2] Bal S, Kinnas SA (2002) A BEM for the prediction of free surface effects on cavitating hydrofoils. Computational Mechanics 28(3): 260-274. https://doi.org/10.1007/s00466-001-0286-7
[3] Bensow RE, Bark G (2010) Implicit LES predictions of the cavitating flow on a propeller. Journal of Fluids Engineering-Transactions of the ASME 132(4): 041302. https://doi.org/10.1115/L4001342
[4] Chen J, Chen T, Geng H, Huang B, Cao Z (2024) Investigation on dynamic characteristics and thermal effects of single cavitation bubble in liquid nitrogen. Physics of Fluids 36(2): 023325. https://doi.org/10.1063/5.0188463
[5] Cheng H, Long X, Ji B, Peng X, Farhat M (2021) A new Euler-Lagrangian cavitation model for tip-vortex cavitation with the effect of non-condensable gas. International Journal of Multiphase Flow 134: 103441. https://doi.org/10.1016/j.ijmultiphaseflow.2020.103441
[6] Cheng HY, Bai XR, Long XP, Ji B, Peng XX, Farhat M (2020) Large eddy simulation of the tip-leakage cavitating flow with an insight on how cavitation influences vorticity and turbulence. Applied Mathematical Modelling 77: 788-809. https://doi.org/10.1016/j.apm.2019.08.005
[7] Cheng W, Lu C, Cao J (2011) Study of the influence of water wave on the unstable cavitating flow of a hydrofoil. Journal of Hydrodynomics 26(6): 763-769. https://doi.org/10.3969/j.issn1000-4874.2011.06.016
[8] Deng LF, Long Y, Ji B, Long XP (2021) Large eddy simulation of turbulent cavitating flow in a Venturi-type section with special emphasis on LES errors and pressure fluctuation analyses. Modern Physics Letters B 35(26): 2150440. https://doi.org/10.1142/s0217984921504406
[9] Dutta R, Xing T (2017) Quantitative solution verification of large eddy simulation of channel flow. Proceedings of the 2nd Thermal and Fluid Engineering Conference and 4th International Workshop on Heat Transfer, Las Vegas, 1209-1212
[10] Eça L, Hoekstra M (2014) A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies. Journal of Computational Physics 262: 104-130. https://doi.org/10.1016/j.jcp.2014.01.006
[11] Ekman P, Venning J, Virdung T, Karlsson M (2021) Importance of sub-grid scale modeling for accurate aerodynamic simulations. Journal of Fluids Engineering-Transactions of the ASME 143(1): 011501. https://doi.org/10.1115/L4048351
[12] Faltinsen OM (2005) Hydrodynamics of high-speed marine vehicles. Cambridge university press, Cambridge
[13] Freitag M, Klein M (2006) An improved method to assess the quality of large eddy simulations in the context of implicit filtering. Journal of Turbulence 7: 1-11. https://doi.org/10.1080/14685240600726710
[14] Germano M, Piomelli U, Moin P, Cabot WH (1991) A dynamic subgrid - scale eddy viscosity model. Physics of Fluids A: Fluid Dynamics 3(7): 1760-1765. https://doi.org/10.1063/L857955
[15] Ghasempour F, Andersson R, Andersson B (2014) Multidimensional turbulence spectra-statistical analysis of turbulent vortices. Applied Mathematical Modelling 38(17-18): 4226-4237. https://doi.org/10.1016/j.apm.2014.03.003
[16] Gousseau P, Blocken B, van Heijst GJF (2013) Quality assessment of large-eddy simulation of wind flow around a high-rise building: Validation and solution verification. Computers & Fluids 79: 120-133. https://doi.org/10.1016/jxornpfluid.2013.03.006
[17] Hu J, Zhang W, Wang C, Sun S, Guo C (2021) Impact of skew on propeller tip vortex cavitation. Ocean Engineering 220: 108479. https://doi.org/10.1016/j.oceaneng.2020.108479
[18] ITTC (2002) CFD general Uncertainty analysis in CFD verification and validation methodology and procedures. Interim Recommended Procedure Prepared by Resistance Committee of 23rd ITTC, 1-12
[19] Ji B, Long Y, Long XP, Qian ZD, Zhou JJ (2017) Large eddy simulation of turbulent attached cavitating flow with special emphasis on large scale structures of the hydrofoil wake and turbulence-cavitation interactions. Journal of Hydrodynamics 29(1): 27-39. https://doi.org/10.1016/S1001-6058(16)60715-1
[20] Ji B, Luo X, Arndt RE, Peng X, Wu Y (2015) Large eddy simulation and theoretical investigations of the transient cavitating vortical flow structure around a NACA66 hydrofoil. International Journal of Multiphase Flow 68: 121-134. https://doi.org/10.1016/j.ijmultiphaseflow.2014.10.008
[21] Klein M (2005) An attempt to assess the quality of large eddy simulations in the context of implicit filtering. Flow, Turbulence and Combustion 75(1): 131-147. https://doi.org/10.1007/s10494-005-8581-6
[22] Leroux JB, Astolfi JA, Billard JY (2004) An experimental study of unsteady partial cavitation. Journal of Fluids Engineering-Transactions of the ASME 126(1): 94-101. https://doi.org/10.1115/1.1627835
[23] Lilly DK (1992) A proposed modification of the germano subgrid-scale closure method. Physics of Fluids A: Fluid Dynamics 4(3): 633-635. https://doi.org/10.1063/L858280
[24] Logan RW, Nitta CK (2005) Comparing 10 methods for solution verification and linking to model validation. Journal of Aerospace Computing, Information, and Communication 3: 354-373. https://doi.org/10.2514/1.20800
[25] Long XP, Cheng HY, Ji B, Arndt REA, Peng XX (2018) Large eddy simulation and Euler-Lagrangian coupling investigation of the transient cavitating turbulent flow around a twisted hydrofoil. International Journal of Multiphase Flow 100: 41-56. https://doi.org/10.1016/j.ijmultiphaseflow.2017.12.002
[26] Long Y, Han CZ, Ji B, Long XP, Wang YW (2020) Verification and validation of large eddy simulations of turbulent cavitating flow around two marine propellers with emphasis on the skew angle effects. Applied Ocean Research 101(1): 102167. https://doi.org/10.1016/j.apor.2020.102167
[27] Long Y, Han CZ, Long XP, Ji B, Huang HB (2021) Verification and validation of delayed detached eddy simulation for cavitating turbulent flow around a hydrofoil and a marine propeller behind the hull. Applied Mathematical Modelling 96: 382-401. https://doi.org/10.1016/j.apm.2021.03.018
[28] Long Y, Long XP, Ji B, Huai WX, Qian ZD (2017) Verification and validation of URANS simulations of the turbulent cavitating flow around the hydrofoil. Journal of Hydrodynamics 29(4): 610-620. https://doi.org/10.1016/s1001-6058(16)60774-6
[29] Long Y, Long XP, Ji B, Xing T (2019) Verification and validation of large eddy simulation of attached cavitating flow around a Clark-Y hydrofoil. International Journal of Multiphase Flow 115(1): 93-107. https://doi.org/10.1016/j.ijmultiphaseflow.2019.03.026
[30] Oberkampf WL, Roy CJ (2010) Verification and validation in scientific computing. Cambridge University Press, Cambridge
[31] Phillips TS, Roy CJ (2014) Richardson extrapolation-based discretization uncertainty estimation for computational fluid dynamics. Journal of Fluids Engineering-Transactions of the ASME 136(12): 121401. https://doi.org/10.1115/L4027353
[32] Roache PJ (1994) Perspective: A method for uniform reporting of grid refinement studies. Journal of Fluids Engineering-Transactions of the ASME 116(3): 405-413. https://doi.org/10.1115/L2910291
[33] Roache PJ (2011) Discussion: “Factors of Safety for Richardson Extrapolation” (Xing, T., and Stern, F., 2010, ASME J. Fluids Eng., 132, p. 061403). Journal of Fluids Engineering-Transactions of the ASME 133(11): 115501. https://doi.org/10.1115/L4005029
[34] Schnerr GH, Sauer J (2001) Physical and numerical modeling of unsteady cavitation dynamics. Fourth International Conference on Multiphase Flow, New Orleans, 1-12
[35] Smagorinsky J (1963) General circulation experiments with the primitive equations: I. The basic experiment. Monthly Weather Review 91(3): 99-164. https://doi.org/10.1175/1520-0493
[36] Stern F, Wilson R, Shao J (2006) Quantitative V&V of CFD simulations and certification of CFD codes. International Journal for Numerical Methods in Fluids 50(11): 1335-1355. https://doi.org/10.1002/fld.1090
[37] Stern F, Wilson RV, Coleman HW, Paterson EG (2001) Comprehensive approach to verification and validation of CFD simulations—part 1: methodology and procedures. Journal of Fluids Engineering 123(4): 793-802
[38] Sun T, Xie Q, Li X, Zou L (2021) Numerical investigation of the effects of free surface on tip-leakage vortex cavitation behaviors over a NACA0009 hydrofoil. International Journal of Multiphase Flow 141: 103671. https://doi.org/10.1016/j.ijmultiphaseflow.2021.103671
[39] Sun Y, Peng H, Liu W, Guo J, Guo Y (2022) Comparison of the hydrodynamic performance of front and rear-stator pump-jet propulsors in an oblique wake under the cavitation condition. Physics of Fluids 34(3): 033317. https://doi.org/10.1063/5.0082769
[40] Wang X, Zhang C, Su H, Li S, Shen J, Zhang Y, Li J, Zhang Y (2024) Research on cavitation bubble behaviors between a dual-particle pair. Physics of Fluids 36(2): 023310. https://doi.org/10.1063/5.0191516
[41] Wang Y, Xu C, Wu X, Huang C, Wu X (2017) Ventilated cloud cavitating flow around a blunt body close to the free surface. Physical Review Fluids 2(8): 084303. https://doi.org/10.1103/PhysRevFluids.2.084303
[42] Wang YW, Wu XC, Huang CG, Wu XQ (2016) Unsteady characteristics of cloud cavitating flow near the free surface around an axisymmetric projectile. International Journal of Multiphase Flow 85: 48-56. https://doi.org/10.1016/j.ijmultiphaseflow.2016.05.013
[43] Wang Z, Cheng H, Ji B (2021) Euler-Lagrange study of cavitating turbulent flow around a hydrofoil. Physics of Fluids 33(11): 112108. https://doi.org/10.1063/5.0070312
[44] Wei YP, Wang YW, Fang X, Huang CG, Duan ZP (2011) A scaled underwater launch system accomplished by stress wave propagation technique. Chinese Physics Letters 28(2): 024601. https://doi.org/10.1088/0256-307x/28/2/024601
[45] Wu PC, Chen JH (2016) Numerical study on cavitating flow due to a hydrofoil near a free surface. Journal of Ocean Engineering and Science 1(3): 238-245. https://doi.org/10.1016/j.joes.2016.02.002
[46] Xing T (2015) A general framework for verification and validation of large eddy simulations. Journal of Hydrodynamics 27(2): 163-175. https://doi.org/10.1016/S1001-6058(15)60469-3
[47] Xing T, Frederick S (2011) Closure to “Discussion of ‘Factors of Safety for Richardson Extrapolation’” (2011, ASME J. Fluids Eng., 133, p. 115501). Journal of Fluids Engineering-Transactions of the ASME 133(11): 115502. https://doi.org/10.1115/L4005030
[48] Xiong C, Wang S, Dong Q, Wang SP, Zhang AM (2024) On the interfacial instabilities of a ventilation cavity induced by gaseous injection into liquid crossflow. Journal of Fluid Mechanics 980: A44. https://doi.org/10.1017/jfm.2024.23
[49] Xu C, Wang Y, Huang C, Huang J, Yu C (2017a) The effect of free surface on cloud cavitating flow around a blunt body. Journal of Hydrodynamics 29(6): 979-986. https://doi.org/10.1016/s1001-6058(16)60812-0
[50] Xu C, Wang Y, Huang C, Yu C, Huang J (2017b) Cloud cavitating flow that surrounds a vertical hydrofoil near the free surface. Journal of Fluids Engineering-Transactions of the ASME 139(10): 101302. https://doi.org/10.1115/L4036669
[51] Zhang AM, Li SM, Cui P, Li S, Liu YL (2023) A unified theory for bubble dynamics. Physics of Fluids 35(3): 033323. https://doi.org/10.1063/5.0145415
[52] Zhi Y, Huang R, Qiu R, Wang Y, Huang C (2022) LES investigation into the cavity shedding dynamics and cavitation-vortex interaction around a surface-piercing hydrofoil. Physics of Fluids 34(12): 123314. https://doi.org/10.1063/5.0123381
[53] Zhou H, Xiang M, Zhao S, Zhang W (2019a) Development of a multiphase cavitation solver and its application for ventilated cavitating flows with natural cavitation. International Journal of Multiphase Flow 115: 62-74. https://doi.org/10.1016/j.ijmultiphaseflow.2019.03.020
[54] Zhou H, Xiang M, Zhao S, Zhang W (2019b) Development of a multiphase solver for cavitation flow near free surface. Ocean Engineering 188: 106236. https://doi.org/10.1016/j.oceaneng.2019.106236