Nonlinear Wave Calculations for Engineering Applications

[+] Author and Article Information
George Z. Forristall

Shell Global Solutions International, 2280 AB Rijswijk, The Netherlandse-mail: g.forristall@siep.shell.com

J. Offshore Mech. Arct. Eng 124(1), 28-33 (Sep 13, 2001) (6 pages) doi:10.1115/1.1423912 History: Received August 03, 2000; Revised September 13, 2001
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Colman, The Honorable Mr. Justice, 2000, Report of the Reopened Formal Investigation into the Loss of the MV Derbyshire, Her Majesty’s Stationery Office, Norwich.
Gjosund, S. H., Moe, G., and Arntsen, O. A., 2001, “Kinematics in Broad-Banded Irregular Ocean Waves by a Lagrangian Formulation,” Proc., 20th Offshore Mechanics and Arctic Engineering Conference, OMAE01/OFT-1231, Rio de Janiero, Brazil.
Longuet-Higgins,  M. S., 1963, “The Effect of Non-linearities on Statistical Distributions in the Theory of Sea Waves,” J. Fluid Mech., 17, pp. 459–480.
Sharma,  J. N., and Dean,  R. G., 1981, “Second-order Directional Seas and Associated Wave Forces,” Soc. Pet. Eng. J., 4, pp. 129–140.
Prevosto, M., 1998, “Effect of Directional Spreading and Spectral Bandwidth on the Nonlinearity of the Irregular Waves,” Proc., Eight International Offshore and Polar Engineering Conference, Montreal, Canada, pp. 119–123
Prevosto,  M., Krogstad,  H. E., and Robin,  A., 2000, “Probability Distributions for Maximum Wave and Crest heights,” Coastal Eng., 40, pp. 329–360.
Forristall,  G. Z., 2000, “Wave Crest Distributions: Observations and Second-Order Theory,” J. Phys. Oceanogr., 30, pp. 1931–1943.
van Unen, R. F., van Beuzekom, A. A., Forristall, G. Z., Mathisen, J.-P., and Starke, J., 1998, “WACSIS—Wave Crest Sensor Intercomparison Study at the Meetpost Noordwijk Measurement Platform,” Oceans ’98, Nice, France, IEEE, pp. 192–197.
Tromans, P. S., and Taylor, P. H., 1998, “The Shapes, Histories and Statistics of Extreme Wave Crests,” Proc., OMAE98, 17th Int. Conf. on Offshore Mech. and Arctic Eng., Lisbon, Portugal.
Zhang,  J., Yang,  J., Wen,  J., Prislin,  I., and Hong,  K., 1999a, “Deterministic Wave Model for Short-crested Ocean Waves: Part I: Theory and Numerical Scheme” Appl. Ocean. Res., 21, pp. 167–188.
Zhang,  J., 1999, “Hybrid Wave Models and Their Applications for Steep Ocean Waves,” Marine Tech. Soc. J., 33, pp. 15–26.
Spell,  C. A., Zhang,  J., and Randall,  R. E., 1996, “Hybrid Wave Model for Unidirectional Irregular Waves—Part II. Comparison With Laboratory Measurements,” Appl. Ocean. Res., 18, pp. 93–110.
Zhang,  J., Prislin,  I., and Wen,  J., 1999, “Deterministic Wave Model for Short-crested Ocean Waves—Part II: Comparison With Laboratory and Field Measurements,” Appl. Ocean. Res., 21, pp. 189–206.
Creamer,  D. B., Henyey,  F., Schult,  R., and Wright,  J., 1989, “Improved Linear Representation of Ocean Surface Waves,” J. Fluid Mech., 205, pp. 135–161.
Taylor, P. H., Ohl, C. O. G., and Sauvee, J., 1999, “Focussed Wave Groups 1: Local Structure, Kinematics, and the Creamer Transform,” Proc., 18th International Conference on Offshore Mechanics and Arctic Engineering, ASME.
Fenton,  J. D., and Rienecker,  J., 1982, “A Fourier Method for Solving Nonlinear Water-Wave Problems: Application to Solitary-Wave Interactions,” J. Fluid Mech., 188, pp. 411–443.
Tromans, P. S., Anaturk, A., and Hagemeijer, P., 1991, “A New Model for the Kinematics of Large Ocean Waves—Application as a Design Wave,” Proc., First Offshore and Polar Engineering Conf. (ISOPE), Vol. 3, Edinburgh, Scotland, pp. 64–71.
Kim,  C. H., Clement,  A. H., and Tanizawa,  K., 1999, “Recent Research and Development of Numerical Wave Tanks—A Review,” Int. J. Offshore Polar Eng., 9, 241–256.
Clement, A. H., 1999, “Benchmark Test Cases for Numerical Wave Absorption: 1st Workshop of ISOPE Numerical Wave Tank Group, Montreal, Canada, May 1998,” Proc., Ninth International Offshore and Polar Engineering Conference, Brest, pp. 266–289.
Craig,  W., and Sulem,  C., 1993, “Numerical Simulation of Gravity Waves,” J. Comput. Phys., 108, pp. 73–83.
Bateman, W. J. D., 2000, “A Numerical Investigation of Three-Dimensional Extreme Water Waves,” Ph.D. thesis, Imperial College of Science, Technology and Medicine, London, UK.
Bateman, W. J. D., Swan, C., and Taylor, P. H., 1999, “Steep Multi-Directional Waves on Constant Water Depth,” Proc., 18th Int. Conf. on Offshore Mech. and Arctic Eng., July 11–16, St. Johns, Newfoundland, Canada, Paper OMAE/S&R-6463.
Bateman, W. J. D., Swan, C., and Taylor, P. H., 2001, “Efficient Numerical Simulation of Directional-Spread Water Waves,” submitted to J. Comput. Phys.


Grahic Jump Location
Normalized crest height ratios for mean JONSWAP spectra. The spectral steepness is 0.01 for the bottom pair of curves and 0.07 for the top pair.
Grahic Jump Location
Conventional and phase modulation solutions for a short wave on a long wave. The solid line shows the first order solution, the dashed line the conventional second order solution, and the line with dots the phase modulation solution.
Grahic Jump Location
Comparison of measured and predicted horizontal velocities 0.1 m above mean water level in a two dimensional laboratory experiment
Grahic Jump Location
Horizontal and vertical velocity at the wave surface near an extreme crest. Dots are from the numerical wave tank solution and the lines are from the Creamer transform.
Grahic Jump Location
Horizontal velocities under the crest of a 26 m, 13.5 sec. wave in 44 m water depth




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.

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