Stephane Marc Abadie, Cyril Mokrani


In this paper, we study the wave impact process with a multi-fluid Navier-Stokes model (THETIS). Preliminary simulations have been conducted, first on a plunging wave generated by unstable Stokes initial condition, and second, involving a dam breaking bore impact. In both cases, a convergence study shows pressure peak results instability when using different meshes. This is due to the incapacity of the model to ensure, after a certain time of computation, the exact same surface profile at impact when simulating a specific case with different meshes. This instable numerical behavior is somehow similar to peak pressure instabilities observed in experiments. This similarity shows the critical role played by local free surface shape at impact on impulsive loads. When initializing the model with a specific interface right at impact, convergence is observed and the pressure peaks are correctly assessed by the code for moderate intensity impact. However, further improvements are still needed especially regarding the interface tracking technique to simulate the most violent impacts involving the weaker dead rise angles. The paper also encourages us to use numerical simulations preferably to study impact flow at local scale.


wave impact; impulsive loads; pressure peaks; numerical modeling; Navier-Stokes; Volume of Fluid.

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Archambeau, F., V. Guimet, and G. Bastin. 1999. Application du prototype de module ALE du Solveur Commun à des cas de surface libre, Technical report EDF HE-41/99/054/A, EDF Research and Development, Chatou (France) (in French).

Archambeau, F., N. Méchitoua, and M. Sakiz. 2004. Code_Saturne: a finite volume method for the computation of turbulent incompressible flows - industrial applications, International Journal on Finite Volumes, Vol. 1(1), pp 1–62.

Celik, I., W. Rodi. 1984. Simulation of free surface effects in turbulent channel flows, Physicochemical Hydrodynamics, Vol. 5, pp 217-227.

Cozzi, O. 2010. Free surface flows in Code_Saturne. M.Phil. thesis, University of Manchester, UK.

Dean, R.G. R.A. Dalrymple. 1991. Water wave mechanics for engineers and scientists, Advanced Series Ocean Engineering, Vol. 2, World Scientific.

Dingemans M.W., J.A. Th. M. van Kester, A.C. Radder, and R.E. Uittenbogaard. 1996. The effect of the CL-vortex force in 3D wave-current interaction, Proc. 25th International Conference on Coastal Engineering (ICCE'1996), Orlando (Florida, USA), pp 4821-4832

Groeneweg, J., G., Klopman. 1998. Changes of the mean velocity profiles in the combined wave current motion described in a GLM formulation, Journal of Fluid Mechanics, Vol. 370, pp 271-296.http://dx.doi.org/10.1017/S0022112098002018

Groeneweg, J., J. Battjes. 2003. Three-dimensional wave effects on a steady current. Journal of Fluid Mechanics, Vol. 478, pp 325–343.http://dx.doi.org/10.1017/S0022112002003476

Guimet, V., D. Laurence. 2002. A linearised turbulent production in the k−e model for engineering applications, 5th International Symposium on Engineering Turbulence Modelling and Measurements, Mallorca, Spain, W. Rodi & N. Fueyo Edts, Elsevier.

Kemp, P.H., Simons, R.R. 1982. The interaction between waves and a turbulent current: waves propagating with the current, Journal of Fluid Mechanics, Vol. 116, pp 227–250.http://dx.doi.org/10.1017/S0022112082000445

Kemp, P.H., Simons, R.R. 1983. The interaction of waves and a turbulent current: waves propagating against the current, Journal of Fluid Mechanics, Vol. 130, pp 73–89.http://dx.doi.org/10.1017/S0022112083000981

Klopman, G. 1994. Vertical Structure of the flow due to waves and currents. Progress report H840.30, Part II. Delft Hydraulics, Delft, The Netherlands.

Longuet-Higgings, M.S. 1953. Mass transport in water waves, Phil. Trans. R. Soc., A 245, pp 535-581.

Menter, F.R. 1994. Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal, Vol. 32(8), pp 1598-1605.

Nezu, I., H. Nakagawa. 1993. Turbulence in Open-Channel Flows, A.A. Balkema, Rotterdam.

Nezu, I., W. Rodi. 1986. Open channel flow measurements with a laser Doppler anemometer, Journal of Hydraulic Engineering, Vol. 112(5), pp 335-355.http://dx.doi.org/10.1061/(ASCE)0733-9429(1986)112:5(335)

Olabarrieta, M., R. Medina, S. Castanedo. 2010. Effects of wave-current interaction on the current profile, Coastal Engineering, Vol. 57(7), pp 643-655.http://dx.doi.org/10.1016/j.coastaleng.2010.02.003

Speziale, C.G., S. Sarkar, T.B. Gatski. 1991. Modeling the pressure-strain correlation of turbulence: an invariant dynamical systems approach, Journal of Fluid Mechanics, Vol. 227, pp 245-272.http://dx.doi.org/10.1017/S0022112091000101

Umeyama, M. 2005. Reynolds stresses and velocity distributions in a wave–current coexisting environment. Journal of Waterway, Port, Coastal and Ocean Engineering, Vol. 131(5), pp 203–http://dx.doi.org/10.1061/(ASCE)0733-950X(2005)131:5(203)

Yang, S., S.-K., Tan, S.-Y. Lim, S.-F. Zhang, 2006. Velocity distribution in combined wave-current flows, Advances in Water Resources, Vol. 29, pp 1196-1208.http://dx.doi.org/10.1016/j.advwatres.2005.09.010

DOI: https://doi.org/10.9753/icce.v33.waves.61