Publications of Karsten Trulsen
Journal papers
Trulsen, K., Stansberg, C. T. & Dysthe, K. B. 2025 Experimental evidence of transverse modulation and frequency downshift of uniform waves in a long tank. J. Fluid Mech. 1024, A14 (30 pages).
Samseth, K. & Trulsen, K. 2025 Extreme statistics of wave forces on a horizontal cylinder behind a shoal. J. Fluid Mech. 1007, A59 (20 pages).
Vanem, E., Gramstad, O., Babanin, A., De Bin, R. & Trulsen, K. 2024 On the distribution of ocean wave crest heights in varying wave conditions. Ocean Engineering and Marine Energy 10, 797–815.
Bitner-Gregersen, E.M., Gramstad, O., Trulsen, K., Magnusson, A.K., Støle-Hentschel, S., Aarnes, O.J. & Breivik, Ø. 2024 Rogue Waves: Results of the ExWaMar Project. Ocean Engineering 292, 116543 (15 pages).
Lawrence, C., Trulsen, K. & Gramstad, O. 2022 Extreme wave statistics of surface elevation and velocity field of gravity waves over a two-dimensional bathymetry. J. Fluid Mech. 939, A41 (18 pages).
Lawrence, C., Trulsen, K. & Gramstad, O. 2021 Statistical properties of wave kinematics in long-crested irregular waves propagating over non-uniform bathymetry. Phys. Fluids 33, 046601 (13 pages).
Støle-Hentschel, S., Nieto Borge, J.C. & Trulsen, K. 2021 The deconvolution as a method to deal with gaps in ocean wave measurements. Ocean Engineering 219, 108373 (11 pages).
Lawrence, C., Gramstad, O. & Trulsen, K. 2020 Variational Boussinesq model for kinematics calculation of surface gravity waves over bathymetry. Wave Motion 100, 102665 (16 pages).
Støle-Hentschel, S., Trulsen, K., Nieto Borge, J. C. & Olluri, S. 2020 Extreme wave statistics in combined and partitioned windsea and swell. Water Waves 2, 169-184.
Trulsen, K., Raustøl, A., Jorde, S. & Rye, L. B. 2020 Extreme wave statistics of longcrested irregular waves over a shoal. J. Fluid Mech. 882, R2 (11 pages).
Støle-Hentschel, S., Trulsen, K., Rye, L. B. & Raustøl, A. 2018 Extreme wave statistics of counter-propagating, irregular, long-crested sea states. Phys. Fluids 30, 067102 (8 pages). DUO
Gramstad, O., Bitner-Gregersen, E., Trulsen, K. & Nieto Borge, J. C. 2018 Modulational instability and rogue waves in crossing sea states. Journal of Physical Oceanography 48, 1317-1331.
Støle-Hentschel, S., Seemann, J., Nieto Borge, J. C. & Trulsen, K. 2018 Consistency between sea surface reconstructions from nautical X-band radar Doppler and amplitude measurements. Journal of Atmospheric and Oceanic Technology 35, 1201-1220. DUO
Simanesew, A., Krogstad, H. E., Trulsen, K. & Nieto Borge, J. C. 2018 Bimodality of directional distributions in ocean wave spectra: A comparison of data-adaptive estimation techniques. Journal of Atmospheric and Oceanic Technology 35, 365-384. DUO
Simanesew, A., Trulsen, K., Krogstad, H. E. & Nieto Borge, J. C. 2017 Surface wave predictions in weakly nonlinear directional seas. Appl. Ocean Res. 65, 79-89. DUO
Taklo, T. M. A., Trulsen, K., Krogstad, H. E. & Nieto Borge, J. C. 2017 On dispersion of directional surface gravity waves. J. Fluid Mech. 812, 681-697. DUO
Simanesew, A., Krogstad, H. E., Trulsen, K. & Nieto Borge, J. C. 2016 Development of frequency-dependent ocean wave directional distributions. Appl. Ocean Res. 59, 304-312. DUO
Trulsen, K., Nieto Borge, J. C., Gramstad, O., Aouf, L. & Lefèvre, J.-M. 2015 Crossing sea state and rogue wave probability during the Prestige accident. J. Geophys. Res. 120 (10), 7113-7136. DUO
Taklo, T. M. A., Trulsen, K., Gramstad, O., Krogstad, H. E. & Jensen, A. 2015 Measurement of the dispersion relation for random surface gravity waves. J. Fluid Mech. 766, 326-336. DUO
Naaijen, P., Trulsen, K. & Blondel-Couprie, E. 2014 Limits to the extent of the spatio-temporal domain for deterministic wave prediction. International Shipbuilding Progress 61 (3-4), 203-223.
Gramstad, O., Zeng, H., Trulsen, K. & Pedersen, G. K. 2013 Freak waves in weakly nonlinear unidirectional wave trains over a sloping bottom in shallow water. Phys. Fluids 25 (12), 122103 (14 pages).
Trulsen, K., Zeng, H. & Gramstad, O. 2012 Laboratory evidence of freak waves provoked by non-uniform bathymetry. Phys. Fluids 24 (9), 097101 (10 pages). [Full-text at DUO]
Zeng, H. & Trulsen, K. 2012 Evolution of skewness and kurtosis of weakly nonlinear unidirectional waves over a sloping bottom. Nat. Hazards Earth Syst. Sci. 12, 631-638.
Gramstad, O. & Trulsen, K. 2011 Fourth-order coupled nonlinear Schrödinger equations for gravity waves on deep water. Phys. Fluids 23, 062102 (9 pages).
Gramstad, O. & Trulsen, K. 2011 Hamiltonian form of the modified nonlinear Schrödinger equation for gravity waves on arbitrary depth. J. Fluid Mech. 670, 404-426.
Toffoli, A., Gramstad, O., Trulsen, K., Monbaliu, J., Bitner-Gregersen, E. & Onorato, M. 2010 Evolution of weakly nonlinear random directional waves: laboratory experiments and numerical simulations. J. Fluid Mech. 664, 313-336.
Krogstad, H. E. & Trulsen, K. 2010 Interpretations and observations of ocean wave spectra. Ocean Dynamics 60, 973-991.
Gramstad, O. & Trulsen, K. 2010 Can swell increase the number of freak waves in a wind-sea? J. Fluid Mech. 650, 57-79.
Hjelmervik, K. B. & Trulsen, K. 2009 Freak wave statistics on collinear currents. J. Fluid Mech. 637, 267-284.
Onorato, M, Waseda, T., Toffoli, A., Cavaleri, L., Gramstad, O., Janssen, P. A. E. M., Kinoshita, T., Monbaliu, J., Mori, N., Osborne, A. R., Serio, M., Stansberg, C. T., Tamura, H. & Trulsen, K. 2009 Statistical Properties of Directional Ocean Waves: The Role of the Modulational Instability in the Formation of Extreme Events. Phys. Rev. Lett., 102, 114502 (4 pages).
Onorato, M., Cavaleri, L., Fouques, S., Gramstad, O., Janssen, P.A.E.M., Monbaliu, J., Osborne, A.R., Pakozdi, C., Serio, M., Stansberg, C.T., Toffoli, A. & Trulsen, K. 2009 Statistical properties of mechanically generated surface gravity waves: a laboratory experiment in a three dimensional wave basin. J. Fluid Mech. 627, 235-257.
Gramstad, O. & Trulsen, K. 2007 Influence of crest and group length on the occurrence of freak waves. J. Fluid Mech. 582, 463-472.
Socquet-Juglard, H., Dysthe, K., Trulsen, K., Krogstad, H. E. & Liu, J. 2005 Probability distributions of surface gravity waves during spectral changes. J. Fluid Mech. 542, 195-216.
Liu, J., Krogstad, H. E., Trulsen, K., Dysthe, K. & Socquet-Juglard, H. 2005 The statistical distribution of a nonlinear ocean surface. International Journal of Offshore and Polar Engineering 15, 168-174.
Dysthe, K. B., Trulsen, K., Krogstad, H. E. & Socquet-Juglard, H. 2003 Evolution of a narrow band spectrum of random surface gravity waves. J. Fluid Mech. 478, 1-10.
Morozov, E. G., Trulsen, K., Velarde, M. G. & Vlasenko, V. I. 2002 Internal tides in the Strait of Gibraltar. J. Phys. Oceanography 32, 3193-3206.
Trulsen, K., Gudmestad, O. T. & Velarde, M. G. 2001 The nonlinear Schrödinger method for water wave kinematics on finite depth. Wave Motion 33, 379-395.
Trulsen, K., Kliakhandler, I., Dysthe, K. B. & Velarde, M. G. 2000 On weakly nonlinear modulation of waves on deep water. Phys. Fluids 12 (10), 2432-2437.
Trulsen, K., Stansberg, C. T. & Velarde, M. G. 1999 Laboratory evidence of three-dimensional frequency downshift of waves in a long tank. Phys. Fluids 11 (1), 235-237.
Trulsen, K. 1999 Wave kinematics computed with the nonlinear Schrödinger method for deep water. J. Offshore Mechanics and Arctic Engineering 121 (2), 126-130.
Dysthe, K. B. & Trulsen, K. 1999 Note on breather type solutions of the NLS as models for freak-waves. Physica Scripta T82, 48-52.
Trulsen, K. 1998 Crest pairing predicted by modulation theory. J. Geophys. Res. 103 (C2), 3143-3148.
Trulsen, K. & Dysthe, K. B. 1997 Frequency downshift in three-dimensional wave trains in a deep basin. J. Fluid Mech. 352, 359-373.
Trulsen, K. & Mei, C. C. 1997 Effects of weak wind and damping on Wilton's ripples. J. Fluid Mech. 335, 141-163.
Trulsen, K. & Dysthe, K. B. 1996 A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water. Wave Motion 24 (3), 281-289. [Errata]
Trulsen, K. & Mei, C. C. 1995 Modulation of three resonating gravity-capillary waves by a long gravity wave. J. Fluid Mech. 290, 345-376.
Sammarco, P., Mei, C. C. & Trulsen, K. 1994 Nonlinear resonance of free surface waves in a current over a sinusoidal bottom - a numerical study. J. Fluid Mech. 279, 377-405.
Trulsen, K. & Mei, C. C. 1993 Double reflection of capillary/gravity waves by a non-uniform current: a boundary-layer theory. J. Fluid Mech. 251, 239-271.
Contributions to books
Trulsen, K. 2021 "Ekstrembølger i havet - hva er det, hvordan oppstår de og hvilken betydning kan de ha for virksomhet til havs." in Årbok / Det norske videnskaps-akademi 2021, pp. 147-156. Novus forlag.
Trulsen, K. 2018 Rogue Waves in the Ocean, the Role of Modulational Instability, and Abrupt Changes of Environmental Conditions that Can Provoke Non Equilibrium Wave Dynamics. In The Ocean in Motion: Circulation, Waves, Polar Oceanography (eds. M. G. Velarde, R.Y. Tarakanov, A. V. Marchenko), pp. 239-247. Springer-Verlag, Oceanography Series.
Trulsen, K. 2007 "Weakly Nonlinear Sea Surface Waves -- Freak Waves and Deterministic Forecasting" in Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF (eds. Geir Hasle, Knut-Andreas Lie, Ewald Quak), pp. 191-209. Springer
Trulsen, K. 2006 "Weakly nonlinear and stochastic properties of ocean waves fields. Application to an extreme wave event." in Waves in Geophysical Fluids Tsunamis, Rogue Waves, Internal Waves and Internal Tides Series: CISM International Centre for Mechanical Sciences, Number 489 (eds. John Grue, Karsten Trulsen), pp. 49-106. Springer
Conference proceedings
Magnusson, A. K., Trulsen, K., Bitner-Gregersen, E. M., Aarnes, O. J. & Malila, M. 2019 ``Three sisters'' measured as a triple rogue wave group. Paper no. OMAE2019-96837. In Proceedings of OMAE'19 38th International Conference on Offshore Mechanics and Arctic Engineering, June 9-14, 2019, Glasgow, Scotland, UK. 8 pages.
Seemann, J., Carrasco, R., Stresser, M., Horstmann, J., Støle-Hentschel, S., Trulsen, K. & Nieto~Borge, J. C. 2017 An operational wave monitoring system based on a dopplerized marine radar. In Oceans, 19-22 Jun 2017, Aberdeen, UK. 2 pages.
Trulsen, K. 2005 Spatial evolution of water surface waves. In Proceedings of WAVES 2005, paper number 127, pp. 1-10. [postprint]
Trulsen, K., Jensen, A. & Grue, J. 2005 Water wave kinematics of steep irregular waves - systematic perturbation approach, empirical law, PIV measurements and engineering practice. In Proceedings of 20th International Workshop on Water Waves and Floating Bodies, pp. 253-256.
Dysthe, K., Socquet-Juglard, H., Trulsen, K., Krogstad, H. E. & Liu, J. 2005 "Freak" waves and large-scale simulations of surface gravity waves. In Rogue Waves, Proceedings of the 14th 'Aha Huliko'a Hawaiian Winter Workshop, 2005, pp. 91-99.
Liu, J., Krogstad, H. E., Trulsen, K., Dysthe, K. & Socquet-Juglard, H. 2005 The statistical distribution of a nonlinear ocean surface. In Proceedings of The Fifteenth International Offshore and Polar Engineering Conference Vol. III, 422-428.
Krogstad, H. E., Socquet-Juglard, H., Liu, J., Dysthe, K. B. & Trulsen, K. 2004 Spatial extreme value analysis of nonlinear simulations of random surface waves. In Proceedings of OMAE 2004, paper OMAE2004-51336, pp. 1-11.
Jenkins, A. D., Magnusson, A. K., Niedermeier, A., Monbaliu, J., Toffoli, A. & Trulsen, K. 2004 Rogue waves and extreme events in measured time-series. In Proceedings of Rogue Waves, Brest, 2004
Socquet-Juglard, H., Dysthe, K. B., Trulsen, K., Fouques, S., Liu, J. & Krogstad, H. E., 2004 Spatial extremes, shape of large waves, and Lagrangian models. In Proceedings of Rogue Waves, Brest, 2004
Socquet-Juglard, H., Dysthe, K. B., Trulsen, K. & Krogstad, H. E. 2003 Evolution of a directional spectrum of random surface gravity waves. In MekIT'03 Second national conference on Computational Mechanics, Trondheim 8-9 May 2003, pp. 339-352. Tapir.
Trulsen, K. 2003 Real time deterministic ocean wave forecasting using weakly nonlinear wave evolution theory. In MekIT'03 Second national conference on Computational Mechanics, Trondheim 8-9 May 2003, pp. 371-390. Tapir.
Trulsen, K. & Teigen, P. 2002 Wave scattering around a vertical cylinder: Fully nonlinear potential flow calculations compared with low order perturbation results and experiment. In Proceedings of OMAE 2002, paper OMAE2002-28173, pp. 1-9.
Trulsen, K. 2001 Simulating the spatial evolution of a measured time series of a freak wave. In Rogue Waves 2000 (eds. Olagnon, M. & Athanassoulis, G.), pp. 265-273. Ifremer.
Teigen, P. & Trulsen, K. 2001 Numerical investigation of nonlinear wave effects around multiple cylinders. In Proceedings of ISOPE 2001 Vol. 3, pp. 369-378.
Trulsen, K. & Stansberg, C. T. 2001 Spatial evolution of water surface waves: numerical simulation and experiment of bichromatic waves. In Proceedings of ISOPE 2001 Vol. 3, pp. 71-77. [postprint]
Dysthe, K. B. & Trulsen, K. 2001 The evolution of an evolution equation. In PROGRESS IN NONLINEAR SCIENCE, Proceedings of the International Conference dedicated to the 100th Anniversary of A. A. Andronov, Nizhny Novgorod, Russia, July 2-6, 2001, Volume II. Frontiers of Nonlinear Physics, pp. 125-138.
Trulsen, K., Temmos, J.-M., Dysthe, K. B., Gudmestad, O. T. & Velarde, M. G. 1998 The Schrödinger method for water wave kinematics. In Ocean Wave Kinematics, Dynamics and Loads on Structures (ed. Zhang, J.), pp. 76-83. ASCE. [postprint]
Trulsen, K. & Dysthe, K. B. 1997 Water wave kinematics computed with nonlinear Schrödinger theory. In Proceedings of the 16th OMAE Vol. 1B (eds. Chakrabarti, S., Kinoshita, T. & Maeda, M.), pp. 7-18. ASME.
Trulsen, K. & Dysthe, K. B. 1997 Freak waves - A three-dimensional wave simulation. In Proceedings of the 21st Symposium on Naval Hydrodynamics, pp. 550-560. National Academy Press.
Trulsen, K. & Mei, C. C. 1996 A resonating triad of gravity-capillary waves on a long gravity wave. In Waves and Nonlinear Processes in Hydrodynamics (eds. Gjevik, B., Grue, J. & Weber, J. E.), pp. 165-176. Kluwer Academic Publishers (Springer)
Trulsen, K. & Dysthe, K. B. 1992 Action of windstress and breaking on the evolution of a wavetrain. In Breaking Waves (eds. Banner, M. L. & Grimshaw, R. H. J.), pp. 243-249. Springer-Verlag.
Trulsen, K. & Dysthe, K. B. 1990 Frequency down-shift through self modulation and breaking. In Water Wave Kinematics (eds. Tørum, A. & Gudmestad, O. T.), pp. 561-572. Kluwer Academic Publishers.
Discussions
Trulsen, K., Naciri, M. & Mei, C. C. 1996 Comment on `A perturbation analysis of an interaction between long and short surface waves' by Woodruff and Messiter. Stud. Appl. Math. 96, 141-142.
Preprint
Hjelmervik, K. B. & Trulsen, K. 2009 New current modified Schrödinger equations. Preprint series. Mechanics and Applied Mathematics, No. 1, ISSN 0809-4403, University of Oslo.
Interviews in magazines
Apollon 2016-10-26 : Norsk matematiker løste gåten bak oljekatastrofe by Yngve Vogt.
Titan.uio.no 2016-01-04 : Kan en monsterbølge ha forårsaket dette? and Did a giant wave provoke an environmental disaster? by Espen Haakstad.
Interviews in daily press
Aftenposten Junior 2013-02-26 - 2013-03-04 (p. 18) : Bølgebeistene by Kjetil Johansen & Åshild Skadberg.
Dagsavisen 2012-11-28 : Når bølgebeistene skyller inn by Kjetil Johansen.
ABC Nyheter 2012-11-25 : Bølgebeistene by Kjetil Johansen.
Verdens Gang 2005-04-18 (p. 19) : Slik oppstår ekstrembølger, comment to Gigantbølge rammet cruiseskip by Karin Muri.
Interviews in radio
NRK Abels tårn 2023-05-26 : Abels bakgård 2023-05-26
NRK Ekko 2016-11-03 : "Bølgeforsker kaster nytt lys over oljekatastrofe" by Christian Marstrander.
Invited popular talks
DNVA 2021-02-11 : Ekstrembølger i havet – hva er det, hvordan oppstår de og hvilken betydning kan de ha for virksomhet til havs
Realistforeningen : Pub med professor 2020-09-30 : Ekstreme bølger.
Theses
Ph.D. thesis 1995 The influence of currents, long waves and wind on gravity-capillary waves. Massachusetts Institute of Technology, Department of Civil and Environmental Engineering.
[Errata for part 3.]
Master thesis 1989 Frequency down-shift through self modulation and breaking, a numerical study. University of Tromsø, Institute of Mathematical and Physical Sciences.
[Errata.]
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