DOI QR코드

DOI QR Code

Wave propagation in a 3D fully nonlinear NWT based on MTF coupled with DZ method for the downstream boundary

  • Xu, G. (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Hamouda, A.M.S. (Department of Mechanical and Industrial Engineering, Qatar University) ;
  • Khoo, B.C. (Department of Mechanical Engineering, National University of Singapore)
  • 투고 : 2013.11.29
  • 심사 : 2014.04.04
  • 발행 : 2014.06.25

초록

Wave propagation in a three-dimensional (3D) fully nonlinear numerical wave tank (NWT) is studied based on velocity potential theory. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing algorithm, B-spline, is applied to eliminate the possible saw-tooth instabilities. The artificial wave speed employed in MTF (multi-transmitting formula) approach is investigated for fully nonlinear wave problem. The numerical results from incorporating the damping zone (DZ), MTF and MTF coupled DZ (MTF+DZ) methods as radiation condition are compared with analytical solution. An effective MTF+DZ method is finally adopted to simulate the 3D linear wave, second-order wave and irregular wave propagation. It is shown that the MTF+DZ method can be used for simulating fully nonlinear wave propagation very efficiently.

키워드

참고문헌

  1. Baker, G.R., Meiron, D.I. and Orszag, S.A (1981), "Applications of a generalized vortex method to nonlinear free-surface flows", Proceedings of the 3rd International Conference on Numerical Ship Hydrodynamics, Paris, France.
  2. Beck, R.F., Cao, Y. and Lee, T.H. (1993), "Fully nonlinear water wave computations using the desingularized method", Proceedings of the 6th International Conference on Numerical Ship Hydrodynamics, Iowa.
  3. Boo, S.Y. (2002), "Linear and nonlinear irregular waves and forces in a numerical wave tank", Ocean Eng., 29(5), 475-493. https://doi.org/10.1016/S0029-8018(01)00055-5
  4. Cao, Y., Schultz, W.W. and Beck, R.F. (1991), "Three dimensional desingularized boundary integral methods for potential problems", Int. J. Numer. Meth. Fl., 12(8), 785-803. https://doi.org/10.1002/fld.1650120807
  5. Celebi, M.S., Kim, M.H. and Beck, R.F. (1998), "Fully nonlinear 3-D numerical wave tank simulation", J. Ship Res., 42(1), 33-45.
  6. Clamond, D., Fructus, D., Grue, J. and Kristiansen, O. (2005), "An efficient model for three-dimensional surface wave simulations. Part II: Generation and absorption", J. Comput. Phys., 205(2), 686-705. https://doi.org/10.1016/j.jcp.2004.11.038
  7. Clemen, A. (1996), "Coupling of two absorbing boundary conditions for 2D time-domain simulations of free surface gravity waves", J. Comput. Phys., 126(1), 139-151. https://doi.org/10.1006/jcph.1996.0126
  8. Cointe, R., Geyer, P., King, B., Molin, B. and Tramoni, M. (1990), "Nonlinear and linear motions of a rectangular barge in a perfect fluid", Proceedings of the 18th Symposium on Naval Hydrodynamics, Ann Arbor, Michigan.
  9. Contento, G., Codiglia, R. and D'Este, F. (2001), "Nonlinear effects in 2D transient nonbreaking waves in a closed flume", Appl. Ocean Res., 23(1), 3-13. https://doi.org/10.1016/S0141-1187(01)00002-5
  10. Dai, Y.S. and Duan, W.Y. (2008), Potential flow theory of ship motions in waves, National Defence Industry Press, Beijing, China. (in Chinese)
  11. Duan, W.Y. and Zhang T.Y. (2009), "Non-reflecting simulation for fully-nonlinear irregular wave radiation", Proceedings of the 24th International Workshop on Water Wave and Floating Bodies, Russia.
  12. Forristall, G.Z. (1985), "Irregular wave kinematics from a kinematic boundary condition fit (KBCF)", Appl. Ocean Res., 7(4), 202-212. https://doi.org/10.1016/0141-1187(85)90027-6
  13. Koo, W.C. and Kim, M.H. (2007), "Fully nonlinear wave-body interactions with surface-piercing bodies", Ocean Eng., 34(7), 1000-1012. https://doi.org/10.1016/j.oceaneng.2006.04.009
  14. Liao, Z.P. (1996), "Extrapolation non reflecting boundary conditions", Wave Motion, 24, 117-138. https://doi.org/10.1016/0165-2125(96)00010-8
  15. Liao, Z.P. (2002), Introduction to wave motion theories for engineering, Science Press, Beijing, China (in Chinese).
  16. Newman, J.N. (2010), "Analysis of wave generators and absorbers in basins", Appl. Ocean Res., 32(1), 71-82. https://doi.org/10.1016/j.apor.2010.04.004
  17. Orlanski, I. (1976), "A simple boundary condition for unbounded hyperbolic flows", J. Comput. Phys., 21(3), 251-269. https://doi.org/10.1016/0021-9991(76)90023-1
  18. Sclavounos, P.D. and Nakos, D.E. (1989), "Stability analysis of panel methods for free surface flows with forward speed", Proceedings of the 17th Symposium on Naval Hydrodynamics, Hague, Netherlands.
  19. Wang, C.Z. and Wu, G.X. (2007), "Time domain analysis of second-order wave diffraction by an array of vertical cylinders", J. Fluid. Struct., 23(4), 605-631. https://doi.org/10.1016/j.jfluidstructs.2006.10.008
  20. Xu, G. and Duan, W.Y. (2008a), "Time domain simulation for water wave radiation by floating structures (Part A) ", J. Marine Sci. Appl., 7(4), 226-235. https://doi.org/10.1007/s11804-008-8033-5
  21. Xu, G. and Duan, W.Y. (2008b), "Time domain simulation of irregular wave diffraction", Proceedings of the 8th International Conference on Hydrodynamics, Nantes, France.
  22. Zhang, C.W. and Duan, W.Y. (2012), "Numerical study on a hybrid water wave radiation condition by a 3D boundary element method", Wave Motion, 49(5), 525-543. https://doi.org/10.1016/j.wavemoti.2012.03.001
  23. Zhang, X.T., Khoo, B.C. and Lou, J.(2006), "Wave propagation in a fully nonlinear numerical wave tank: a desingularized method", Ocean Eng., 33(17-18), 2310-2331. https://doi.org/10.1016/j.oceaneng.2005.11.002
  24. Zhang, X.T., Khoo, B.C. and Lou, J. (2007), "Application of desingularized approach to water wave propagation over three-dimensional topography", Ocean Eng., 34(10), 1449-1458. https://doi.org/10.1016/j.oceaneng.2006.09.003

피인용 문헌

  1. SH-wave propagation in a heterogeneous layer over an inhomogeneous isotropic elastic half-space vol.9, pp.2, 2015, https://doi.org/10.12989/eas.2015.9.2.305