Corrado Altomare, Tomohiro Suzuki, Jose M. Dominguez, A.J.C. Crespo, Moncho Gomez-Gesteira, Ivan Caceres


The implementation and first validation of a hybridization technique between a NLSWE model and a meshless fully Navier-Stokes equation-based model are presented. The scope is to overcome the limitations of each numerical model (different computational costs and capabilities) and to obtain a unique tool capable to represent the whole phenomena of wave propagation, transformation and interaction with coastal structures. The hybrid model has been validated with physical model data of monochromatic waves running over a sandy beach and has provided notably improved predictions of water surface elevation and orbital velocities. Preliminary results for random waves are also reported.


hybridization; wave propagation; Lagrangian methods; SWASH; SPH

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Altomare C., Crespo A.J.C., Rogers B.D., Domínguez J.M., Gómez-Gesteira M., Gironella X. 2012. Improving accuracy in modelling armoured breakwaters with SPH. 7th International SPHERIC Workshop. Prato, Italy.

Crespo A.J.C., Dominguez J.M., Barreiro A., Gómez-Gesteira M. and Rogers B.D. 2011. GPUs, a new tool of acceleration in CFD: Efficiency and reliability on Smoothed Particle Hydrodynamics methods. PLoS ONE 6 (6), e20685

Delorme L., Colagrossi A., Souto-Iglesias A., Zamora-Rodríguez R. and Botia-Vera E. 2009. A set of canonical problems in sloshing. Part I: Pressure field in forced roll. Comparison between experimental results and SPH. Ocean Engineering, vol. 36, no. 2, pp. 168–178

Domínguez J.M., Crespo A.J.C., Valdez-Balderas D., Rogers B.D. and Gómez-Gesteira M. 2013. New multi-GPU implementation for Smoothed Particle Hydrodynamics on heterogeneous clusters. Computer Physics Communications, 184: 1848-1860

Gómez-Gesteira M., Rogers B.D., Crespo A.J.C. Dalrymple R.A., Narayanaswamy M. and Domínguez J.M., 2012. SPHysics - development of a free-surface fluid solver- Part 1: Theory and Formulations. Computers & Geosciences, 48, 289-299. doi:10.1016/j.cageo.2012.02.029.

Lee E.-S., Violeau D., Issa R. and Ploix, S. 2010. Application of weakly compressible and truly incompressible SPH to 3-D water collapse in waterworks. Journal of Hydraulic Research 48, 50- 60.

Leimkuhler B. J., Reich S., Skeel, R. D., 1996. Integration Methods for Molecular dynamic. IMA Volume in Mathematics and its application. Springer.

Molteni D. and Colagrossi A. 2009. A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. Computer Physics Communications, 180, 861–872, 2009.

Monaghan J.J. 1992. Smoothed particle hydrodynamics. Annual Review of Astronomy and Astrophysics 30, 543- 574.

Narayanaswamy M., Crespo A.J.C., Gómez-Gesteira M. and Dalrymple R.A. 2010. SPHysics-FUNWAVE hybrid model for coastal wave propagation. Journal of Hydraulic Research, 48, Extra Issue, 85-93, DOI: 10.3826/jhr.2010.0007

Suzuki T., Verwaest T., Hassan W., Veale W., Trouw K. and Troch P. 2011. The applicability of SWASH for modelling wave transformation and wave overtopping: a case study for the Flemish coast, Proceedings of ACOMEN 2011.

Wendland H. 1995. Piecewiese polynomial, positive definite and compactly supported radial functions of minimal degree. Advances in computational Mathematics 4(1), 389-396

Zijlema M., Stelling G.S. and Smit P. 2011. SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coastal waters. Coastal Engineering, 58: 992-1012.

DOI: https://doi.org/10.9753/icce.v34.waves.60