In this paper we validate a numerical model for-structure interaction by comparing numerical results with laboratory data. The numerical model is based on the Navier-Stokes(N-S) equations for an incompressible fluid. The N-S equations are solved by two-step projection finite volume scheme and the free surface displacements are tracked by the slender vertical piles. Numerical results are compared with the laboratory data and very good agreement is observed for the time history of free surface displacement, fluid particle velocity and force. The agreement for dynamic pressure on the cylinder is less satisfactory, which is primarily caused by instrument errors.
If the inline PDF is not rendering correctly, you can download the PDF file here.
Christensen E. D. and Deigaard R. 2001. Large eddy simulation of breaking waves. Coastal Engng. 42 pp.53-86.
Goring D. J. and Raichlen F. 1980. The generation of long waves in the laboratory. Proc. 17th Int. Conf. Coastal Eng. ASCE New York pp.763-783.
Guyenne P. and Grilli S. T. 2006. Numerical study of threedimensional overturning waves in shallow water. J.Fluid Mech. 547 pp.361-388.
Hirt C. W. and Nichols B. D. 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comp.Phys. 39 pp.201-225.
Kim J. Moin P. and Moser R. 1987. Turbulence statistics in fully developed channel flow at low Reynolds number.J. Fluid Mech. 177 pp.133-166.
Lin P. and Li C. W. 2002. A σ-coordinate three-dimensional numerical model for surface wave propagation. Int. J.Numer. Meth. Fluids 38 pp.1048-1068.
Lin P. and Liu P. L.-F. 1998. A numerical study of breaking waves in the surf zone. J. Fluid Mech. 359 pp.239-264.
Liu P. L.-F. Lin P. Z. and Chang K. A. 1999. Numerical modeling of wave interaction with porous structures. J.Wtrwy. Port Coast. and Oc. Engng. ASCE 125(6) pp.322-330.
Liu P. L.-F. Wu T.-R. Raichlen F. Synolakis C. E. and Borrero J. C. 2005. Runup and rundown generated by three-dimensional sliding masses. J. Fluid Mech. 536 pp.107-144.
Liu Y. Xue M. and Yue D.K.P. 2001. Computations of fully nonlinear three-dimensional wave-wave and wavebody interactions. Part 2. Nonlinear waves and forces on a body. J. Fluid Mech. 438 pp.41 - 65.
Mo W. Irschik K. Oumeraci H. and Liu P. L-F. 2007. A 3D numerical model for computing non-breaking wave forces on slender piles. J. Eng. Math. 58 pp.19-30.
Morison J. R. O’Brien M.P. Johnson J. W. and Schaaf S.A. 1950. The forces exerted by surface waves on piles. J.Petroleum Technology Petroleum Transctions AIME 189 pp.149-154.
Pope S. B. 2001. Turbulent flows. Cambridge University Press.
Pope S. B. 2004. Ten questions concerning the large-eddy simulation of turbulent flows. New J. Phys. 6(35) DOI: 10.1088/1367-2630/6/1/035
Rider W. J. and Kothe D. B. 1998. Reconstructing Volume Tracking. J. Comp. Phys. 141 pp.112-152.
Sarpkaya T. and Isaacson M. St. Q. 1981. Mechanics of Wave Forces on Offshore Structures Van Nostrand Reinold New York.
Smagorinsky J. 1963. General circulation experiments with the primitive equations: I. The basic equations. Mon.Weather Rev. 91 pp.99-164.
Watanabe Y. and Saeki H. 1999. Three-dimensional large eddy simulation of breaking waves. Coastal Engng. 41 (3/4) pp.281-301.
WU T.-R. 2004. A numerical study of three-dimensional breaking waves and turbulence effects. PhD dissertation Cornell University.
Wu T-R. and Liu P. L.-F. 2009a. A large eddy simulation model for tsunami and runup generated by landslides. In: Liu P. L.-F. Yeh H. & Synolakis ed. 2009. Advances in Coastal and Ocean Engineering 10 World Scientific Publishing. Ch.4.
Wu T.-R. and Liu P. L.-F. 2009b. Numerical study on the three-dimensional dam-break bore interacting with a square cylinder. In: Lynett P. ed. 2009. Nonlinear Wave Dynamics World Scientific Publishing. Ch.14.
Xue M. Xu H. Liu Y. and Yue D. K. P. 2001. Computations of fully nonlinear three dimensional wave-wave and wave-body interaction. Part 1. Dynamics of steep three-dimensional waves. J. Fluid Mech. 438 pp.11-39.