IH-3VOF: A THREE-DIMENSIONAL NAVIER-STOKES MODEL FOR WAVE AND STRUCTURE INTERACTION

Javier Lara, Inigo Javier Losada, Manuel del Jesus, Gabriel Barajas, Raul Guanche

Abstract


This paper describes the capability of a new model, called IH-3VOF to simulate wave-structure interaction problems using a three-dimensional approach. The model is able to deal with physical processes associated with wave interaction with porous structures. The model considers the VARANS equations, a volume-averaged version of the traditional RANS (Reynolds Averaged Navier-Stokes) equations. Turbulence is modeled using a k- approach, not only at the clear fluid region (outside the porous media) but also inside the porous media. The model has been validated using laboratory data of free surface time evolution in a fish tank containing a porous dam. Numerical simulations were calibrated by adjusting the porous flow empirical coefficients for two granular material characteristics. Sensitivity analysis of porous parameters has also been performed. The model is proven to reproduce with a high degree of agreement the free surface evolution during the seeping process. Simulations of a three- dimensional porous dam breaking problem has been studied, showing the excellent performance of the model in reproducing fluid patterns around a porous structure. The model is powerful tool to examine the near-field flow characteristics around porous structures in three dimensional flow conditions.

Keywords


wave-structure interaction; three dimensional modeling; Navier-Stokes solvers; porous media flow

References


Burcharth, H.F. and O.H. Andersen. 1995. On the one-dimensional steady and unsteady porous flow equations, Coastal Engineering, ELSEVIER, 24, 233-257.

Christensen, E.D. 2008. Large eddy simulation of spilling and plunging breakers, Coastal Engineering, ELSEVIER, 53(5-6), 463-485.

Garcia, N., J.L. Lara and I.J. Losada. 2004. 2-D numerical analysis of near-field flow at lowcrested permeable breakwaters, Coastal Engineering, ELSEVIER, 51, 991-1020.

Guanche, R., I.J. Losada and J.L. Lara. 2009. Numerical analysis of wave loads for coastal structure stability, Ocean engineering, ELSEVIER, 56, 543-558

Hsu, T.-J., T. Sakakiyama and P.L.-F. Liu. 2002. A numerical model for wave motions and turbulence flows in front of a composite breakwater, Coastal Engineering, ELSEVIER, 46, 25-50

Kirby, J.T. 2003. Boussinesq models and applications to nearshore wave propagation, surfzone processes and wave-induced currents. V.C. Lakhan, Editor, Advances in Coastal Modelling, ELSEVIER, 1-41.

Kobayashi N. and A. Wurjanto. 1989. Wave transmission over submerged breakwaters, Journal of Waterways Port, Coastal and Ocean Engineering, ASCE, 115, 662-680. http://dx.doi.org/10.1061/(ASCE)0733-950X(1989)115:5(662)

Kobayashi, N., A. Farhadzadeh, and J.A. Melby. 2010. Wave Overtopping and Damage Progression of Stone Armor Layer, Journal of Waterways Port, Coastal and Ocean Engineering, ASCE, in press. http://dx.doi.org/10.1061/(ASCE)WW.1943-5460.0000047

Lara, J.L., I.J. Losada and P.L.-F. Liu. 2006b. Breaking waves over a mild gravel slope: experimental and numerical analysis, Journal of Geophysical Research, AGU, 111, p. C11019 (2006) http://dx.doi.org/10.1029/2005JC003374

Lara, J.L., I.J. Losada and R. Guanche. 2008. Wave interaction with low mound breakwaters using a RANS model, Ocean engineering, ELSEVIER, 35, 1388-1400.

Lara, J.L., N. Garcia and I.J. Losada. 2006a. RANS modelling applied to random wave interaction with submerged permeable structures, Coastal Engineering, ELSEVIER, 53, 395-417

Li, T., P. Troch and J. De Rouck. 2004. Wave overtopping over a sea dike, Journal of Computational Physics. ELSEVIER, 198(2), 686-726. http://dx.doi.org/10.1016/j.jcp.2004.01.022

Lin, P., Numerical modeling of breaking waves. 1998. PhD thesis. Cornell University.

Liu, D. and P. Lin. 2009. Three-dimensional liquid sloshing in a tank with baffles. Ocean engineering, ELSEVIER, 36(2), 202-212.

Losada, I.J., J.L. Lara, R. Guanche and J.M. Gonzalez-Ondina. 2008. Numerical analysis of wave overtopping of rubble mound breakwaters, Coastal Engineering, ELSEVIER, 55(1), 47-62 (2008)

Lynett, P.J., P.L.-F. Liu, I.J. Losada, and C. Vidal. 2000. Solitary Wave Interaction with Porous Breakwaters, Journal of Waterways Port, Coastal and Ocean Engineering, ASCE, 126(6), 314-322. http://dx.doi.org/10.1061/(ASCE)0733-950X(2000)126:6(314)

Nakayama A. and F. Kuwahara. 1999. A macroscopic turbulence model for flow in a porous medium, Journal of Fluids Engineering, ASME, 121, 427-433. http://dx.doi.org/10.1115/1.2822227

Rider, W.J. and D.B. Kothe. 1998. Reconstructing volume tracking, Journal of Computational Physics. ELSEVIER, 141(2), 112-152. http://dx.doi.org/10.1006/jcph.1998.5906

Shao, S. 2010. Incompressible SPH flow model for wave interactions with porous media. 2010. Coastal Engineering, ELSEVIER, 57(3), 304-316.

van Gent, M.R.A. 1995. Porous flow through rubble-mound material, Journal of Waterway Port, Coastal and Ocean Engineering, ASCE, 121, 176-181. http://dx.doi.org/10.1061/(ASCE)0733-950X(1995)121:3(176)

Wang, Z., Q. Zou and D. Reeve. 2009. Simulation of spilling breaking waves using a two phase flow CFD model, Computers & Fluids, ELSEVIER, 38(10), 1995-2005. http://dx.doi.org/10.1016/j.compfluid.2009.06.006


Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.