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Fully nonlinear simulation for fluid/structure impact: A review

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Abstract

This paper presents a review of the work on fluid/structure impact based on inviscid and imcompressible liquid and irrotational flow. The focus is on the velocity potential theory together with boundary element method (BEM). Fully nonlinear boundary conditions are imposed on the unknown free surface and the wetted surface of the moving body. The review includes (1) vertical and oblique water entry of a body at constant or a prescribed varying speed, as well as free fall motion, (2) liquid droplets or column impact as well as wave impact on a body, (3) similarity solution of an expanding body. It covers two dimensional (2D), axisymmetric and three dimensional (3D) cases. Key techniques used in the numerical simulation are outlined, including mesh generation on the multivalued free surface, the stretched coordinate system for expanding domain, the auxiliary function method for decoupling the mutual dependence of the pressure and the body motion, and treatment for the jet or the thin liquid film developed during impact.

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References

  • Armand JL, Cointe R (1987). Hydrodynamic impact analysis of a cylinder. Journal of Offshore Mechanics and Arctic Engineering, 109(3), 237–243.

    Article  Google Scholar 

  • Arndt EA (2002). Cavitation in vortical flows. Annual Review of Fluid Mechanics, 34, 143–175.

    Article  MathSciNet  Google Scholar 

  • Baldwin JL (1971). Vertical water entry of cones. Naval Ordnance Laboratory, White OAK, Silver Spring, Maryland, USA.

    Google Scholar 

  • Batchelor GK (1967). An introduction to fluid dynamics. Cambridge University Press, Cambridge, UK, 471.

    MATH  Google Scholar 

  • Bathe KJ, Wilson EL (1976). Numerical Methods in Finite Element Analysis. Prentice-Hall, Englewood Cliffs, NJ, USA.

    MATH  Google Scholar 

  • Battistin D, Iafrati A (2003). Hydrodynamic loads during water entry of two-dimensional and axisymmetric bodies. Journal of Fluids and Structures, 17(5), 643–664.

    Article  Google Scholar 

  • Christodoulides P, Dias F (2009). Impact of a rising stream on a horizontal plate of finite extent. Journal of Fluid Mechanics, 621, 243–258.

    Article  MATH  MathSciNet  Google Scholar 

  • Cooker MJ, Peregrine DH (1991). Violent motion as near breaking waves meet a vertical wall. International Union of Theoretical and Applied Mechanics, Sydney, Australia, 291–297.

    Google Scholar 

  • Cumberbatch E (1960). The impact of a water wedge on a wall. Journal of Fluid Mechanics, 7(3), 353–374.

    Article  MATH  MathSciNet  Google Scholar 

  • Dobrovol’Skaya ZN (1969). On some problems of similarity flow of fluid with a free surface. Journal of Fluid Mechanics, 36(4), 805–829.

    Article  MATH  Google Scholar 

  • Duan WY, Xu GD, Wu GX (2009). Similarity solution of oblique impact of wedge-shaped water column on wedged coastal structures. Coastal Engineering, 56(4), 400–407.

    Article  Google Scholar 

  • Faltinsen O, Zhao R, Umeda N (1991). Numerical predictions of ship motions at high forward speed. Philosophical Transactions of the Royal Society A, 334(1634), 241–252.

    Article  MATH  Google Scholar 

  • Hattori M, Arami A, Yui T (1994). Wave impact pressure on vertical walls under breaking waves of various types. Coastal Engineering, 22(1–2), 79–114.

    Article  Google Scholar 

  • Howison SD, Ockendon JR, Wilson SK (1991). Incompressible water-entry problems at small deadrise angles. Journal of Fluid Mechanics, 222, 215–230.

    Article  MATH  MathSciNet  Google Scholar 

  • Iafrati A. and Korobkin AA (2004). Initial stage of flat plate impact onto liquid free surface. Physics of Fluids, 16(7), 2214–2227.

    Article  Google Scholar 

  • Kiger KT, Duncan JH (2012) Air-entrainment mechanisms in plunging jets and breaking waves. Annual Review of Fluid Mechanics, 44, 563–596.

    Article  MathSciNet  Google Scholar 

  • Korobkin AA, Gueret R, Malenica S (2006). Hydroelastic coupling of beam finite element model with Wagner theory of water impact. Journal Fluids and Structures, 22(4), 493–504.

    Article  Google Scholar 

  • Korobkin AA., Khabakhpasheva TI, WU GX (2008). Coupled hydrodynamic and structural analysis of compressible jet impact onto elastic panels. Journal of Fluids and Structures, 24(7), 1021–1041.

    Article  Google Scholar 

  • Korobkin AA, Pukhnachov VV (1988). Initial stage of water impact. Annual Review of Fluid Mechanics, 20, 159–185.

    Article  Google Scholar 

  • Korobkin AA, Scolan YM (2006). Three-dimensional theory of water impact. Part 2. linearized Wagner problem. Journal of Fluid Mechanics, 549, 343–373.

    Article  MathSciNet  Google Scholar 

  • Korobkin AA, Wu GX (2000). Impact on a floating circular cylinder. Proceedings of The Royal Society A, 456(2002), 2489–2514.

    Article  MATH  MathSciNet  Google Scholar 

  • Lesser MB, Field JE (1983). The impact of compressible liquids. Annual Review of Fluid Mechanics, 15, 97–122.

    Article  Google Scholar 

  • Lamb H (1932). Hydrodynamics, 6th edition. Cambridge University Press, Cambridge, UK, 382.

    MATH  Google Scholar 

  • Longuet-Higgins MS (1976). Self-similar, time-dependent flows with a free surface. Journal of Fluid Mechanics, 73(4), 603–620.

    Article  MATH  MathSciNet  Google Scholar 

  • Longuet-Higgins MS (1980). On the forming of sharp corners at a free surface. Proceedings of the Royal Society A, 371(1747), 453–478.

    Article  MATH  MathSciNet  Google Scholar 

  • Longuet-Higgins MS (1983a). Rotating hyperbolic flow: particle trajectories and parametric representation. Quarterly Journal of Mechanics and Applied Mathematics, 36(2), 247–270.

    Article  MATH  MathSciNet  Google Scholar 

  • Longuet-Higgins MS (1983b). Bubbles, breaking waves and hyperbolic jets at a free surface. Journal of Fluid Mechanics, 127, 103–121.

    Article  MATH  MathSciNet  Google Scholar 

  • Longuet-Higgins MS, Cokelet ED (1976). The deformation of steep surface waves on water. I. A numerical method of computation. Proceedings of the Royal Society A, 350(1660), 1–26.

    Article  MATH  MathSciNet  Google Scholar 

  • Lu CH, He YS, Wu GX (2000). Coupled analysis of nonlinear interaction between fluid and structure during impact. Journal of Fluids and Structures, 14(1), 127–146.

    Article  Google Scholar 

  • Moore MR, Howison SD, Ockendon JR, Oliver JM (2012). Three-dimensional oblique water-entry problems at small deadrise angle. Journal of Fluid Mechanics, 711, 259–280.

    Article  MATH  MathSciNet  Google Scholar 

  • Peregrine DH (2003). Water-wave impact on walls. Annual Review of Fluid Mechanics, 35, 23–43.

    Article  MathSciNet  Google Scholar 

  • Scolan YM, Korobkin AA (2001). Three-dimensional theory of water impact, Part 1: Inverse Wagner problem. Journal of Fluid Mechanics, 440, 293–326.

    Article  MATH  MathSciNet  Google Scholar 

  • Scolan YM, Korobkin AA (2012). Hydrodynamic impact (Wagner) problem and Galin’s theorem. 27th International Workshop on Water Waves and Floating Bodies, Copenhagen, Denmark, 22–25.

    Google Scholar 

  • Semenov YA, Iafrati A (2006). On the nonlinear water entry problem of asymmetric wedges. Journal of Fluid Mechanics, 547, 231–256.

    Article  MATH  MathSciNet  Google Scholar 

  • Semenov YA, Wu GX (2012). Asymmetric impact between liquid and solid wedges. Proceedings of the Royal Society A, 469(2150), 1–20.

    Article  MathSciNet  Google Scholar 

  • Semenov YA, Wu GX (2013). The nonlinear problem of a gliding body with gravity. Journal of Fluid Mechanics, 727, 132–160.

    Article  MATH  MathSciNet  Google Scholar 

  • Semenov YA, Wu GX, Korobkin AA (2014). Impact of liquids of different densities. The 29th IwwwFB, Osaka, Japan, 1–4.

    Google Scholar 

  • Semenov YA, Wu GX, Oliver JM (2013). Splash jet generated by collision of two liquid wedges. Journal of Fluid Mechanics, 737, 132–145.

    Article  Google Scholar 

  • Shu JJ (2004). Impact of an oblique breaking wave on a wall. Physics of Fluids, 16(3), 610–614.

    Article  MathSciNet  Google Scholar 

  • Smith FT, Li T, Wu GX (2003). Air cushioning with a lubricating/inviscid balance. Journal of Fluid Mechanics, 482, 291–318.

    Article  MATH  MathSciNet  Google Scholar 

  • Sun SL, Wu GX (2013a). Oblique water entry of a cone by a fully three dimensional nonlinear method. Journal of Fluids and Structures, 42, 313–332.

    Article  Google Scholar 

  • Sun SL, Wu GX (2013b). Oblique water entry of non-axisymmetric bodies at varying speed by a fully nonlinear method. Quarterly Journal of Mechanics and Applied Mathematics, 66(3), 366–393.

    Article  MATH  MathSciNet  Google Scholar 

  • Sun SL, Wu GX (2014). Oblique impact of a water cone on a solid wall. European Journal of Mechanics B-Fluid, 43, 120–130.

    Article  MathSciNet  Google Scholar 

  • Tassin A, Piro DJ, Korobkin AA, Maki KJ, Cooker MJ (2013). Two-dimensional water entry and exit of a body whose shape varies in time. Journal of Fluids and Structures, 40, 317–336.

    Article  Google Scholar 

  • Thoroddsen ST, Etoh TG, Takehara K (2008). High-speed imaging of drops and bubbles. Annual Review of Fluid Mechanics, 40, 257–285.

    Article  MathSciNet  Google Scholar 

  • Von Karman T (1929). The impact of seaplane floats during landing. Technical Report, 321, NACA.

    Google Scholar 

  • Wagner H (1932). The phenomena of impact and planning on water. Technical Report, 1366, NACA.

    Google Scholar 

  • Wu GX (1998). Hydrodynamic force on a rigid body during impact with liquid. Journal of Fluids and Structures, 12(5), 549–559.

    Article  Google Scholar 

  • Wu GX (2006). Numerical simulation of water entry of twin wedges. Journal of Fluids and Structures, 22(1), 99–108.

    Article  Google Scholar 

  • Wu GX (2007a). Fluid impact on a solid boundary. Journal of Fluids and Structures, 23(5), 755–765.

    Article  Google Scholar 

  • Wu GX (2007b). Two dimensional liquid column and liquid droplet impact on a solid wedge. Quarterly Journal of Mechanics and Applied Mathematics, 60(4), 497–511.

    Article  MATH  Google Scholar 

  • Wu GX (2012). Numerical simulation for water entry of a wedge at varying speed by a high order boundary element method. Journal of Marine Science and Application, 11(2), 143–149.

    Article  Google Scholar 

  • Wu GX, Eatock Taylor R (1995). Time stepping solutions of the two dimensional non-linear wave radiation problem. Ocean Engineering, 22(8), 785–798.

    Article  Google Scholar 

  • Wu GX, Eatock Taylor R (2003). The coupled finite element and boundary element analysis of nonlinear interactions between waves and bodies. Ocean Engineering, 30(3), 387–400.

    Article  Google Scholar 

  • Wu GX, Sun H, He YS (2004). Numerical simulation and experimental study of water entry of a wedge in free fall motion. Journal of Fluids and Structures, 19(3), 277–289.

    Article  Google Scholar 

  • Wu GX, Sun SL (2014). Similarity solution for oblique water entry of an expanding paraboloid. Journal of Fluid Mechanics, 745, 398–408.

    Article  MathSciNet  Google Scholar 

  • Xu GD, Duan WY, Wu GX (2008). Numerical simulation of oblique water entry of an asymmetrical wedge. Ocean Engineering, 35(16), 1597–1603.

    Article  Google Scholar 

  • Xu GD, Duan WY, Wu GX (2010). Simulation of water entry of a wedge through free fall in three degrees of freedom. Proceedings of the Royal Society A, 466, 2219–2239.

    Article  MATH  MathSciNet  Google Scholar 

  • Xu GD, Duan WY, Wu GX (2011a). Numerical simulation of water entry of a cone in free fall motion. Quarterly Journal of Mechanics and Applied Mathematics, 64(3), 265–285.

    Article  MATH  MathSciNet  Google Scholar 

  • Xu GD, Wu GX, Duan WY (2011b). Axisymmetric liquid block impact on a solid surface. Applied Ocean Research, 33(4), 366–374.

    Article  Google Scholar 

  • Yarin AL (2006). Drop impact dynamics, splashing, spreading, receding, bouncing. Annual Review of Fluid Mechanics, 38, 159–192.

    Article  MathSciNet  Google Scholar 

  • Zeff BW, Kleber B, Fineberg J, Lathrop DP (2000). Singularity dynamics in curvature collapse and jet eruption on a fluid surface. Nature, 403, 401–404.

    Article  Google Scholar 

  • Zhang AM, Wang SP, Wu GX (2013). Simulation of bubble motion in a compressible liquid based on the three dimensional wave equation. Engineering Analysis with Boundary Elements, 37(9), 1179–1188.

    Article  MATH  MathSciNet  Google Scholar 

  • Zhang S, Yue DKP, Tanizawa K (1996). Simulation of plunging wave impact on a vertical wall. Journal of Fluid Mechanics, 327, 221–254.

    Article  MATH  Google Scholar 

  • Zhao R, Faltinsen O (1993). Water entry of two-dimensional bodies. Journal of Fluid Mechanics, 246, 593–612.

    Article  MATH  Google Scholar 

  • Zhao R, Faltinsen O (1999). Water entry of arbitrary axisymmetric bodies with and without flow separation. Twenty-Second Symposium on Naval Hydrodynamics, Washington D. C., USA, 652–664.

    Google Scholar 

  • Zhao R, Faltinsen O, Aarsnes J (1997). Water entry of arbitrary two dimensional sections with and without flow separation. Twenty-First Symposium on Naval Hydrodynamics, Trondheim, Norway, 408–425.

    Google Scholar 

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Authors and Affiliations

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China

    Shili Sun & Guoxiong Wu

  2. Department of Mechanical Engineering, University College London, Torrington Place, London, WC1E 7JE, UK

    Guoxiong Wu

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  1. Shili Sun
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  2. Guoxiong Wu
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Correspondence to Guoxiong Wu.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (Grant Nos. 11302057, 11302056), the Fundamental Research Funds for the Central Universities (Grant No. HEUCF140115) and the Research Funds for State Key Laboratory of Ocean Engineering in Shanghai Jiao Tong University (Grant No. 1310).

Shili Sun was born in 1983. She obtained her doctor’s degree at Harbin Engineering University in 2011.She undertook postdoctoral scientific research in Shanghai Jiao Tong University from 2011 to 2013. She is currently a lecturer in Harbin Engineering University. Her main research interests include fluid dynamics, wave impact and fluid/structure interaction.

Guoxiong Wu was born in 1961. He has been a professor at University College London (UCL) since 2000. He is the chair of the joint LRF (Lloyd’s Register Foundation) centre on deep water chanllenges, involving UCL, Shanghai Jiao Tong University and Harbin Engineering University. His research covers a wide range of problems in naval architecture, offshore engineering, deep water engineering and coastal engineering as well as hydrodynamics.

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Sun, S., Wu, G. Fully nonlinear simulation for fluid/structure impact: A review. J. Marine. Sci. Appl. 13, 237–244 (2014). https://doi.org/10.1007/s11804-014-1253-y

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