CFD Analysis of Water Solitary Wave Reflection

K. Smida, H. Lamloumi, K. Maalel, Z. Hafsia

Abstract


 A new numerical wave generation method is used to investigate the head-on collision of two solitary waves. The reflection at vertical wall of a solitary wave is also presented. The originality of this model, based on the Navier-Stokes equations, is the specification of an internal inlet velocity, defined as a source line within the computational domain for the generation of these non linear waves. This model was successfully implemented in the PHOENICS (Parabolic Hyperbolic Or Elliptic Numerical Integration Code Series) code. The collision of two counter-propagating solitary waves is similar to the interaction of a soliton with a vertical wall. This wave generation method allows the saving of considerable time for this collision process since the counter-propagating wave is generated directly without reflection at vertical wall. For the collision of two solitary waves, numerical results show that the run-up phenomenon can be well explained, the solution of the maximum wave run-up is almost equal to experimental measurement. The simulated wave profiles during the collision are in good agreement with experimental results. For the reflection at vertical wall, the spatial profiles of the wave at fixed instants show that this problem is equivalent to the collision process.

 


Keywords


Wave generation, Head-on collision, Solitary waves, Source line, Wave run-up

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References


Cooker MJ, Weidman PD, Bale DS (1997), Reflection of a high amplitude solitary wave at a vertical wall. J. Fluid Mech. 342:141-158.

Craig W, Guyenne P, Hammack J, Hendersen D, Sulem C (2006), Solitary wave interactions. Phys. Fluids 18:1-25.

Dean RG, Dalrymple RA (1991), Water wave for engineers and scientists. World Scientific.

Hafsia Z, Ben Haj M, Lamloumi H, Maalel K (2009), Internal inlet for wave generation and absorption treatment. J. of Coastal Engineering 56:951-959.

Hammack J, Henderson D, Guyenne P, Yi M (2004), Solitary-wave collisions. Proceedings of the 23rd ASME Offshore Mechanics and Arctic Engineering (A symposium to honor Theodore Yao-Tsu Wu), Vancouver, Canada.

Lin P, Liu PLF (1999), Internal wave-maker for navier-stokes equations models. J. of Waterway, Port, Coastal, and Ocean Engineering 125(4): 207-215.

Lo DC, Young DL (2004), Arbitrary lagrangian-eulerian finite element analysis of free surface flow using a velocity-vorticity formulation. J. of Computational Physics 195:175-201.

Lubin P, Chanson H, Glockner S (2010), Large eddy simulation of turbulence generated by a weak breaking tidal bore. Environ Fluid Mech. 10:587- 602.

Lubin P, Vincent S, Caltagirone JP (2005), On the navier-stokes equations simulation of the head-on collision between two surface solitary waves. C. R. Mecanique 333:351-357.

Maxworthy T (1976), Experiments on the collisions between solitary waves. J. Fluid Mech. 76:177- 185.

Ming Yi, Haink Tu (2003), Head-on collision of KdV Solitons. http:math.psu.edu/dmh/Solitons/.

Neelamani S, Al-Salem K, Rakha K (2009), Extreme gravity waves in the Arabian Gulf. J. of Engineering Research 6(1):21-36.

Power H, Chwang AT (1984), On reflection of a planar solitary wave at a vertical wall. Wave Motion 6:183-195 North Holland.

Su CS, Mirie RM (1980), On head-on collisions between two solitary waves. J. Fluid Mech. 98: 509-525.

Svendsen IA (2006), Introduction to nearshore hydrodynamics. World Scientific.

Temperville A (1979), Interactions of solitary waves in shallow water theory. Arch. Mech. 31:177-184.

Wu TY (1998), Nonlinear waves and solitons in water. Physica D. 123:48-63.




DOI: http://dx.doi.org/10.24200/tjer.vol8iss2pp10-18

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Copyright (c) 2017 K. Smida, H. Lamloumi, K. Maalel, Z. Hafsia

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