0
TECHNICAL PAPERS

A Two-Dimensional Numerical Wave Flume—Part 1: Nonlinear Wave Generation, Propagation, and Absorption

[+] Author and Article Information
S. F. Baudic

Deepwater Systems Division, ABB Lummus Global Inc., Houston, TX 77242-2833

A. N. Williams

Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204-4791e-mail: awilliams@uh.edu

A. Kareem

Department of Civil Engineering and Geological Science, University of Notre Dame, Notre Dame, IN 46556-0767

J. Offshore Mech. Arct. Eng 123(2), 70-75 (Jan 25, 2001) (6 pages) doi:10.1115/1.1365117 History: Received March 31, 2000; Revised January 25, 2001
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Longuet-Higgins,  M. S., and Cokelet,  E. D., 1976, “The Deformation of Steep Surface Waves on Water—I: A Numerical Method of Computation,” Proc. R. Soc. London, Ser. A, 350, pp. 1–26.
Wang,  P., Yao,  Y., and Tulin,  M. P., 1994, “Wave Group Evolution, Wave Deformation, and Breaking: Simulation using LONGTANK, a Numerical Wave Tank,” Int. J. Offshore Polar Eng., 4, pp. 200–205.
Wang,  P., Yao,  Y., and Tulin,  M. P., 1995, “An Efficient Numerical Tank for Non-Linear Water Waves Based on the Multi-Subdomain Approach with BEM,” Int. J. Numer. Methods Fluids, 20, pp. 1315–1336.
Clément,  A. H., 1996, “Coupling of Two Absorbing Boundary Conditions for 2D Time Domain Simulations of Free Surface Gravity Waves,” J. Comput. Phys., 126, pp. 139–151.
Skourup, J., and Shaffer, H. A., 1997, “Wave Generation and Active Absorption in a Numerical Wave Flume,” Proc., Seventh International Offshore and Polar Engineering Conference, Honolulu, HI, 3 , pp. 85–91.
Grilli,  S. T., and Horrillo,  J., 1997, “Numerical Generation and Absorption of Fully Nonlinear Periodic Waves,” J. Eng. Mech., 123, pp. 1060–1069.
Grilli, S. T., and Horrillo, J., 1998, “Computation of Properties of Periodic Waves Shoaling Over Barred-Beaches in a Fully Nonlinear Numerical Wave Tank,” Proc., Eighth International Offshore and Polar Engineering Conference, Montreal, Canada, 3, pp. 294–300.
Hudspeth,  R. T., and Sulisz,  W., 1991, “Stokes Drift in Two-Dimensional Wave Flumes,” J. Fluid Mech., 230, pp. 209–229.
Moubayed,  W. I., and Williams,  A. N., 1994, “Second-Order Bichromatic Waves Produced by a Generic Planar Wavemaker in a Two-Dimensional Wave Flume,” Fluids and Structures, 8, pp. 73–92.
Schaffer,  H. A., 1996, “Second-Order Wave-Maker Theory for Irregular Waves,” Ocean Eng., 23, pp. 47–88.
Zhang,  S., and Williams,  A. N., 1996, “Time-Domain Simulation of the Generation and Propagation of Second-Order Stokes Waves in a Two-Dimensional Wave Flume Part I: Monochromatic Wavemaker Motions,” Fluids and Structures, 10, pp. 319–335.
Zhang,  S., and Williams,  A. N., 1999, “Simulation of Bichromatic Second-Order Stokes Waves in a Numerical Wave Flume,” Int. J. Offshore Polar Eng., 9, pp. 11–17.
Stassen, Y., Le Boulluec, M., and Molin, B., 1998, “A High-Order Boundary Element Model for 2D Wave Tank Simulation,” Proc., Eighth International Offshore and Polar Engineering Conference, Montreal, Canada, 3 , pp. 348–355.
Orlanski,  I., 1976, “A Simple Boundary for Unbounded Hyperbolic Flows,” J. Comput. Phys., 21, pp. 251–269.
Skourup, J., 1996, “Active Absorption in a Numerical Wave Tank,” Proc., Sixth International Offshore and Polar Engineering Conference, Los Angeles, CA, 3 , pp. 31–38.
Grilli,  S. T., Skourup,  J., and Svendsen,  I. A., 1989, “An Efficient Boundary-Element Method for Non-Linear Water Waves,” Eng. Anal. Boundary Elem., 6, pp. 97–107.
Dommermuth,  D. G., and Yue,  D. K. P., 1987, “Numerical Simulations of Nonlinear Axisymmetric Flows with a Free-Surface,” J. Fluid Mech., 178, pp. 195–219.
Xu, H., 1992, “Numerical Study of Fully Nonlinear Water Waves in Three Dimensions,” Ph.D. dissertation, Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, MA.
Wu,  G. X., and Eatock Taylor,  R., 1994, “Finite Element Analysis of Two-Dimensional Nonlinear Transient Water Waves,” Appl. Ocean. Res., 16, pp. 363–372.
Kim,  M. H., Celebi,  M. S., and Kim,  D. J., 1998, “Fully Nonlinear Interactions of Waves with a Three-Dimensional Body in Uniform Currents,” Appl. Ocean. Res., 20, pp. 309–321.
Cointe, R., 1989, “Nonlinear Simulation of Transient Free-Surface Flows,” Proc., Fifth International Conference on Ship Hydrodynamics, Hiroshima, Japan, pp. 239–250.

Figures

Grahic Jump Location
Comparison of the dimensionless free-surface elevation at x/ho=11 due to a linear input wave of kAo=0.157, for various mesh sizes, calculated using Δt=T/90 with smoothing every 10 time steps
Grahic Jump Location
Comparison of the dimensionless free-surface elevation at x/ho=55 due to a linear input wave of kAo=0.094, for various mesh sizes, calculated using Δt=T/140 and smoothing every 10 time steps
Grahic Jump Location
Comparison of the dimensionless free-surface elevation at x/ho=11 due to an input linear wave of kAo=0.157, for various time steps, calculated using Nw=20 and smoothing every 10 time steps
Grahic Jump Location
Comparison of the dimensionless free-surface elevation at x/ho=55 due to an input linear wave of kAo=0.094, for various time steps, calculated using Nw=20 and smoothing every 10 time steps
Grahic Jump Location
Comparison of the dimensionless free-surface elevation at x/ho=11 due to an input linear wave of kAo=0.157, for various smoothing intervals, calculated using Δt=T/90 and Nw=20
Grahic Jump Location
Comparison of the dimensionless free-surface elevation at t/T=44.86 due to an input linear wave of kAo=0.094, for various absorbing beach sizes, β(L/ho), and a constant α value, calculated using Nw=25,Δt=T/140 and smoothing every 10 time steps
Grahic Jump Location
Comparison of the dimensionless free-surface elevation at t/T=44.86 due to an input linear wave of kAo=0.094, for various absorption strengths, α, with a constant β value, calculated using Nw=25,Δt=T/140 and smoothing every 10 times steps
Grahic Jump Location
Comparison of the results of the present model 6 for the dimensionless free-surface elevation at x/ho=11 due to a Stokes fifth-order input wave of kAo=0.157, calculated using Nw=25,Δt=T/90 and smoothing every 17 time steps

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In