|Table of Contents|

Citation:
　Xiaoting Huang,Pengnan Sun,Hongguan Lyu,et al.Water Entry Problems Simulated by an Axisymmetric SPH Model with VAS Scheme[J].Journal of Marine Science and Application,2022,(2):1-15.[doi:10.1007/s11804-022-00265-y]
Click and Copy

Water Entry Problems Simulated by an Axisymmetric SPH Model with VAS Scheme

Info

Title:
Water Entry Problems Simulated by an Axisymmetric SPH Model with VAS Scheme
Author(s):
Xiaoting Huang1; 2;  Pengnan Sun1; 2;  Hongguan Lyu1; 2;  A-Man Zhang3
Affilations:
Author(s):
Xiaoting Huang1; 2;  Pengnan Sun1; 2;  Hongguan Lyu1; 2;  A-Man Zhang3
1. School of Ocean Engineering and Technology, Sun Yat-sen University, Zhuhai, 519082, China;
2. Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai, 519082, China;
3. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China
Keywords:
Water entry|Smoothed particle hydrodynamics|Slamming|Ocean engineering
分类号:
-
DOI:
10.1007/s11804-022-00265-y
Abstract:
Water entry of marine structures has long been an important problem in ocean engineering. Among the different techniques to predict fluid-structure interactions during water entry, smoothed particle hydrodynamics (SPH) method gradually becomes a promising method that is able to solve the impact pressure and the splashing fluid jets simultaneously. However, for three-dimensional (3D) problems, SPH method is computationally expensive due to the huge number of particles that are needed to resolve the local impact pressure accurately. Therefore, in this work an axisymmetric SPH model is applied to solve different water entry problems with axisymmetric structures including spheres and cones with different deadrise angles. Importantly, the Volume Adaptive Scheme (VAS) is added to guarantee the homogeneousness of particle volumes during the simulation. The axisymmetric SPH model with VAS scheme will be introduced in detail and the numerical results will be sufficiently validated with experimental data to demonstrate the high robustness and accuracy of the SPH model for solving 3D axisymmetric water entry problems in an efficient way.

References:

Adami S, Hu XY and Adams NA (2012) A generalized wall boundary condition for smoothed particle hydrodynamics. Journal of Computational Physics 231(21):7057-7075
Antuono M, Colagrossi A and Marrone S (2012)12. Numerical diffusive terms in weakly-compressible SPH schemes. Computer Physics Communications 183:2570-2580. https://doi.org/10.1016/j.cpc.2012.07.006
Antuono M, Colagrossi A, Marrone S and Molteni D (2010) Free-surface ows solved by means of SPH schemes with numerical diusive terms. Computer Physics Communications 181(3):532-549. https://doi.org/10.1016/j.cpc.2009.11.002
Aristo JM, Truscott TT, Techet AH and Bush JWM (2010) The water entry of decelerating spheres. Physics of Fluids 22(3):032102. https://doi.org/10.1063/1.3309454. https://doi.org/10.1063/1.3309454
Bckmann A, Shipilova O and Skeie G (2012) Incompressible SPH for free surface ows. Computers&Fluids 67:138-151
Brookshaw L (2003) April. Smooth particle hydrodynamics in cylindrical coordinates. In K. Burrage and R. B. Sidje (Eds.), Proc. of 10th Computational Techniques and Applications Conference CTAC-2001, Volume 44:pp. C114-C139
Cheng H, Ming F, Sun P, Sui Y and Zhang AM (2020) Ship hull slamming analysis with smoothed particle hydrodynamics method. Applied Ocean Research 101:102268. https://doi.org/10.1016/j.apor.2020.102268
Chiron L, Oger G, De Lee M and Touze DL (2018) Analysis and improvements of adaptive particle renement (APR) through cpu time, accuracy and robustness considerations. Journal of Computational Physics 354:552-575. https://doi.org/10.1016/j.jcp.2017.10.041
Colagrossi A and Landrini M (2003) Numerical simulation of interfacial ows by smoothed particle hydrodynamics. Journal of Computational Physics 191(2):448-475. https://doi.org/10.1016/S0021-9991(03)00324-3
De Backer G, Vantorre M, Beels C, De Pre J, Victor S, De Rouck J, Blommaert C and Van Paepegem W (2009) Experimental investigation of water impact on axisymmetric bodies. Applied Ocean Research 31(3):143-156. https://doi.org/10.1016/j.apor.2009.07.003
Dobrovol’skaya ZN (1969) On some problems of similarity ow of uid with a free surface. Journal of Fluid Mechanics 36(4):805-829. https://doi.org/10.1017/S0022112069001996
Fang XL, Colagrossi A, Wang PP and Zhang AM (2022) An accurate and robust axisymmetric SPH method based on riemann solver with applications in ocean engineering. Ocean Engineering 244:110369. https://doi.org/10.1016/j.oceaneng.2021.110369
Gong K, Shao S, Liu H, Lin P and Gui Q (2019) Cylindrical smoothed particle hydrodynamics simulations of water entry. Journal of Fluids Engineering 141:7
Gong K, Shao S, Liu H, Wang B and Tan SK (2016) Two-phase SPH simulation of uid-structure interactions. Journal of Fluids and Structures 65:155-179. https://doi.org/10.1016/j.juidstructs.2016.05.012
Grenier N, Antuono M, Colagrossi A, Le Touze D and Alessandrini B (2009) An hamiltonian interface SPH formulation for multiuid and free surface ows. Journal of Computational Physics 228(22):8380-8393
Hammani I, Marrone S, Colagrossi A, Oger G and Le Touze D (2020) Detailed study on the extension of the-SPH model to multi-phase ow. Computer Methods in Applied Mechanics and Engineering 368:113189
He F, Zhang H, Huang C and Liu M (2020) Numerical investigation of the solitary wave breaking over a slope by using the nite particle method. Coastal Engineering 156:103617. https://doi.org/10.1016/j.coastaleng.2019.103617
He F, Zhang H, Huang C and Liu M (2022) A stable SPH model with large c numbers for multi-phase ows with large density ratios. Journal of Computational Physics:110944
Huang L, Tavakoli S, Li M, Dolatshah A, Pena B, Ding B and Dashtimanesh A (2021) Cfd analyses on the water entry process of a freefall lifeboat. Ocean Engineering 232:109115. https://doi.org/10.1016/j.oceaneng.2021.109115
Iafrati A, Grizzi S, Siemann M and Monta～nes LB (2015) High-speed ditching of a at plate:Experimental data and uncertainty assessment. Journal of Fluids and Structures 55:501-525
Iranmanesh A and Passandideh-Fard M (2017) A three-dimensional numerical approach on water entry of a horizontal circular cylinder using the volume of uid technique. Ocean Engineering 130:557-566. https://doi.org/10.1016/j.oceaneng.2016.12.018
Khayyer A and Gotoh H (2016) A multiphase compressible-incompressible particle method for water slamming. International Journal of Oshore and Polar Engineering 26(01):20-25
Lin MC and Shieh LD (1997) Simultaneous measurements of water impact on a two-dimensional body. Fluid Dynamics Research 19(3):125
Lin P (2007) A xed-grid model for simulation of a moving body in free surface ows. Computers&Fluids 36(3):549-561. https://doi.org/10.1016/j.compuid.2006.03.004
Liu M and Zhang Z (2019) Smoothed particle hydrodynamics (SPH) for modeling uid-structure interactions. SCIENCE CHINA Physics, Mechanics&Astronomy 62(8):984701
Long T, Zhang Z and Liu M (2021) Multi-resolution technique integrated with smoothed particle element method (spem) for modeling uid-structure interaction problems with free surfaces. Science China Physics, Mechanics&Astronomy 64(8):1-22
Luo M, Khayyer A and Lin P (2021) Particle methods in ocean and coastal engineering. Applied Ocean Research 114:102734
Lyu HG, Deng R, Sun PN and Miao JM (2021) Study on the wedge penetrating uid interfaces characterized by dierent density-ratios:Numerical investigations with a multi-phase SPH model. Ocean Engineering 237:109538. https://doi.org/10.1016/j.oceaneng.2021.109538
Lyu HG, Sun PN, Huang XT, Zhong SY, Peng YX, Jiang T and Ji CN (2022a) A review of SPH techniques for hydrodynamic simulations of ocean energy devices. Energies 15(2):502
Marrone S, Colagrossi A, Park J and Campana E (2017) Challenges on the numerical prediction of slamming loads on lng tank insulation panels. Ocean Engineering 141:512-530. https://doi.org/10.1016/j.oceaneng.2017.06.041
Ming Fr, Sun PN, Zhang AM, et al (2014) Investigation on charge parameters of underwater contact explosion based on axisymmetric SPH method. Applied Mathematics and Mechanics 35(4):453-468
Moghisi M and Squire P (1981)07. An experimental investigation of the initial force of impact on a sphere striking a liquid surface. Journal of Fluid Mechanics 108:133-146. https://doi.org/10.1017/S0022112081002036
Nair VV and Bhattacharyya S (2018) Water entry and exit of axisymmetric bodies by cfd approach. Journal of Ocean Engineering and Science 3(2):156-174. https://doi.org/10.1016/j.joes.2018.05.002
Oger G, Doring M, Alessandrini B and Ferrant P (2006) Two-dimensional SPH simulations of wedge water entries. Journal of Computational Physics 213(2):803-822. https://doi.org/10.1016/j.jcp.2005.09.004
Omidvar P, Stansby PK and Rogers BD (2012) Wave body interaction in 2d using smoothed particle hydrodynamics (SPH) with variable particle mass. International Journal for Numerical Methods in Fluids 68(6):686-705
Randles P and Libersky LD (1996) Smoothed particle hydrodynamics:some recent improvements and applications. Computer methods in applied mechanics and engineering 139(1-4):375-408
Shao S (2009) Incompressible SPH simulation of water entry of a free-falling object. International Journal for Numerical Methods in Fluids 59(1):91-115. https://doi.org/10.1002/d.1813.
Shao S and Gotoh H (2004) Simulating coupled motion of progressive wave and oating curtain wall by SPH-les model. Coastal Engineering Journal 46(2):171-202. https://doi.org/10.1142/S0578563404001026.
Skillen A, Lind S, Stansby PK and Rogers BD (2013a) Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised ckian smoothing applied to body-water slam and ecient wave-body interaction. Computer Methods in Applied Mechanics and Engineering 265:163-173. https://doi.org/10.1016/j.cma.2013.05.017
Skillen A, Lind S, Stansby PK and Rogers BD (2013b) Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised ckian smoothing applied to body-water slam and ecient wave-body interaction. Computer Methods in Applied Mechanics and Engineering 265:163-173. https://doi.org/10.1016/j.cma.2013.05.017
Sun P, Colagrossi A, Marrone S, Antuono M and Zhang AM (2019) A consistent approach to particle shifting in the-plus-SPH model. Computer Methods in Applied Mechanics and Engineering 348:912-934
Sun P, Colagrossi A, Marrone S and Zhang A (2017) The plus-SPH model:Simple procedures for a further improvement of the SPH scheme. Computer Methods in Applied Mechanics and Engineering 315:25-49. https://doi.org/10.1016/j.cma.2016.10.028
Sun P, Colagrossi A, Touze DL and Zhang AM (2019) Extension of the-plus-SPH model for simulating vortex-induced-vibration problems. Jour-nal of Fluids and Structures 90:19-42. https://doi.org/10.1016/j.juidstructs.2019.06.004
Sun P, Ming F and Zhang A (2015) Numerical simulation of interactions between free surface and rigid body using a robust SPH method. Ocean Engineering 98:32-49
Sun P, Zhang AM, Marrone S and Ming F (2018) An accurate and e-cient SPH modeling of the water entry of circular cylinders. Applied Ocean Research 72:60-75. https://doi.org/10.1016/j.apor.2018.01.004
Sun PN, Le Touze D, Oger G and Zhang AM (2021a) An accurate fsi-SPH modeling of challenging uid-structure interaction problems in two and three dimensions. Ocean Engineering 221:108552
Sun PN, Le Touze D, Oger G and Zhang AM (2021b) An accurate SPH volume adaptive scheme for modeling strongly-compressible multiphase ows. part 2:Extension of the scheme to cylindrical coordinates and simulations of 3d axisymmetric problems with experimental validations. Journal of Computational Physics 426:109936
Sun PN, Le Touze D, Oger G and Zhang AM (2021) An accurate SPH volume adaptive scheme for modeling strongly-compressible multiphase ows. part 1:Numerical scheme and validations with basic 1d and 2d benchmarks. Journal of Computational Physics 426:109937. https://doi.org/10.1016/jjcp.2020.109937
Truscott TT and Techet AH (2009) Water entry of spinning spheres. Journal of Fluid Mechanics 625:135-165
Van Nuel D, Vepa K, De Baere I, Lava P, Kersemans M, Degrieck J, De Rouck J and Van Paepegem W (2014) A comparison between the experimental and theoretical impact pressures acting on a horizontal quasirigid cylinder during vertical water entry. Ocean Engineering 77:42-54. https://doi.org/10.1016/j.oceaneng.2013.11.019
Vandamme J, Zou Q and Reeve DE (2011) Modeling oating object entry and exit using smoothed particle hydrodynamics. Journal of Waterway, Port, Coastal, and Ocean Engineering 137(5):213-224
Von Karman T and Wattendorf F (1929) The impact of sea planes during landing. naca tech. Technical report, Note 321
Wagner H (1932) Phenomena associated with impacts and sliding on liquid surfaces. Journal of Applied Mathematics and Mechanics 12(4):193-215
Wang J, Lugni C and Faltinsen OM (2015) Experimental and numerical investigation of a freefall wedge vertically entering the water surface. Applied Ocean Research 51:181-203
Wang L, Xu F and Yang Y (2019) SPH scheme for simulating the water entry of an elastomer. Ocean Engineering 178:233-245
Wang S, Islam H and Soares CG (2021) Uncertainty due to discretization on the ale algorithm for predicting water slamming loads. Marine Structures 80:103086
Wang S and Soares CG (2014) Numerical study on the water impact of 3d bodies by an explicit nite element method. Ocean Engineering 78:73-88
Wang S and Soares CG (2020) Eects of compressibility, threedimensionality and air cavity on a free-falling wedge cylinder. Ocean Engineering 217:107589
Wang S. and Soares CG (2022) Three-dimensional eects on slamming loads on a free-falling bow-are cylinder into calm water. Journal of Oshore Mechanics and Arctic Engineering 144(4):044502
Wang S, Xiang G and Soares CG (2021) Assessment of three-dimensional eects on slamming load predictions using openfoam. Applied Ocean Research 112:102646
Woodgate MA, Barakos GN, Scrase N and Neville T (2019) Simulation of helicopter ditching using smoothed particle hydrodynamics. Aerospace Science and Technology 85:277-292. https://doi.org/10.1016/j.ast.2018.12.016
Xiao T, Qin N, Lu Z, Sun X, Tong M and Wang Z (2017) Development of a smoothed particle hydrodynamics method and its application to aircraft ditching simulations. Aerospace Science and Technology 66:28-43. https://doi.org/10.1016/j.ast.2017.02.022
Yang Q and Qiu W (2012) Numerical simulation of water impact for 2d and 3d bodies. Ocean Engineering 43:82-89
Yang Q, Xu F, Yang Y and Wang L (2020) A multi-phase SPH model based on riemann solvers for simulation of jet breakup. Engineering Analysis with Boundary Elements 111:134-147
Ye T, Pan D, Huang C and Liu M (2019) Smoothed particle hydrodynamics (SPH) for complex uid ows:Recent developments in methodology and applications. Physics of Fluids 31(1):011301. https://doi.org/10.1063/1.5068697
Yettou EM, Desrochers A and Champoux Y (2006) Experimental study on the water impact of a symmetrical wedge. Fluid Dynamics Research 38(1):47
Yu J, Liu Z, Zhang X and Zhang H (2015) CFD numerical simulation of air-liquid two-phase ow in vertical tube of airlift pump. Water Resources and Hydropower Engineering 46(9):144-147
Zhang AM, Sun PN, Ming FR and Colagrossi A (2017) Smoothed particle hydrodynamics and its applications in fluid-structure interactions. Journal of Hydrodynamics, Ser. B 29(2):187-216
Zhao R and Faltinsen O (1993) Water entry of two-dimensional bodies. Journal of uid mechanics 246:593-612

Memo

Memo:
Received date: 2022-02-01;Accepted date:2022-05-12。
Foundation item:This work was supported by the National Natural Science Foundation of China (Grant Nos. 12002404 and 52171329), the Natural Science Foundation of Guangdong Province (Grant Nos. 2019A1515011 405 and 2022A1515012084), the Guangzhou Basic and Applied Basic Research Project (Grant No. 202102020371)and the Fundamental Research Funds for the Central Universities, Sun Yat-sen University.
Corresponding author:Pengnan Sun,E-mail:sunpn@mail.sysu.edu.cn
Last Update: 2022-08-17