Advertisement

Journal of Hydrodynamics

, Volume 22, Supplement 1, pp 225–230 | Cite as

High-order finite difference solution for 3D nonlinear wave-structure interaction

  • Guillaume DucrozetEmail author
  • Harry B. Bingham
  • Allan Peter Engsig-Karup
  • Pierre Ferrant
Computational Fluid Dynamics

Abstract

This contribution presents our recent progress on developing an efficient fully-nonlinear potential flow model for simulating 3D wave-wave and wave-structure interaction over arbitrary depths (i.e. in coastal and offshore environment). The model is based on a high-order finite difference scheme OceanWave3D presented in [1, 2]. A nonlinear decomposition of the solution into incident and scattered fields is used to increase the efficiency of the wave-structure interaction problem resolution. Application of the method to the diffraction of nonlinear waves around a fixed, bottom mounted circular cylinder are presented and compared to the fully nonlinear potential code XWAVE as well as to experiments.

Key Words

High-Order Finite Differences Nonlinear Decomposition Scattering OceanWave3D XWAVE 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    H B Bingham, H Zhang. On the accuracy of finite-difference solutions for nonlinear water waves. J. Eng. Math., 2007, 58: 211–228.MathSciNetCrossRefGoogle Scholar
  2. [2]
    A P Engsig-Karup, H B Bingham, O Lindberg. An efficient flexible-order model for 3D nonlinear water waves. J. Comp. Phys., 2009, 228: 2100–2118.MathSciNetCrossRefGoogle Scholar
  3. [3]
    P Ferrant. Fully non-linear interactions of longcrested wave packets with a three-dimensional body. In Proc. 22nd ONR Symposium on Naval Hydrodynamics, 1998: 403–115, Washington, USA.Google Scholar
  4. [4]
    V Zakharov. Stability of periodic waves of finite amplitude on the surface of a deep fluid. J. Appl. Mech. Tech. Phys., 1968: 190–194.Google Scholar
  5. [5]
    P Ferrant, L Gentaz, B Alessandrini, et al. A potential/ranse approach for regular water wave diffraction about 2D structures. Ship Technology Research, 2003, 50(4).CrossRefGoogle Scholar
  6. [6]
    L Gentaz, R Luquet, B Alessandrini, et al. Numerical simulation of the 3D viscous flow around a vertical cylinder in non-linear waves using an explicit incident wave model. In Proc. 23rd Int. Conf. on Offshore Mech. And Arctic Engng., 2004.Google Scholar
  7. [7]
    J D Fenton. The numerical solution of the steady water wave problem. Comp. & Geosc., 1988, 14(3): 357–368.CrossRefGoogle Scholar
  8. [8]
    B Büchmann, P Ferrant, J Skourup. Run-up on a body in waves and current. Fully nonlinear and finite-order calculations. Applied Ocean Research, 2000, 22(6): 349–60.CrossRefGoogle Scholar
  9. [9]
    D L Kriebel. Nonlinear wave interaction with a vertical circular cylinder. Part II: wave run-up. Ocean Engng., 1992, 19(1): 75–99.CrossRefGoogle Scholar
  10. [10]
    G Ducrozet, F Bonnefoy, D Le Touzé, et al. Implementation and validation of nonlinear wavemaker models in a HOS numerical wave tank. International Journal of Offshore and Polar Engineering, 2006, 16(3): 161–167.Google Scholar

Copyright information

© China Ship Scientific Research Center 2010

Authors and Affiliations

  • Guillaume Ducrozet
    • 1
    • 2
    Email author
  • Harry B. Bingham
    • 2
  • Allan Peter Engsig-Karup
    • 3
  • Pierre Ferrant
    • 1
  1. 1.Laboratoire de Mécanique des Fluides Ecole Centrale de NantesNantesFrance
  2. 2.Department of Mechanical EngineeringTechnical University of DenmarkKgs. LyngbyDenmark
  3. 3.Department Informatics and Mathematical ModelingTechnical University of DenmarkKgs. LyngbyDenmark

Personalised recommendations