Accurate modelling of uni-directional surface waves

Journal of Computational and Applied Mathematics

Volumn 234, Issue 6, 2010, Pages 1747-1756

  Van Groesen, E ^a,b   Andonowati, ^a,b,c   She Liam, L ^a   Lakhturov, I ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b LabMath Indonesia   (Indonesia)

^c BANDUNG INSTITUTE OF TECHNOLOGY   (Indonesia)

Author keywords

AB equation; KdV type of equation; Surface waves; Variational modelling

Indexed keywords

AB-EQUATION; BI-CHROMATIC WAVES; DEEP WATER; DISPERSION PROPERTIES; HAMILTONIAN FORMULATIONS; IRROTATIONAL; LABORATORY MEASUREMENTS; PERIODIC WAVES; PROPAGATION SPEED; RELATIVE EQUILIBRIA; SECOND ORDERS; STOKES WAVE; SURFACE VARIABLES; VARIATIONAL PRINCIPLES; WATER FLOWS; WAVE HEIGHTS; WAVE PROFILES;

SURFACE WATERS; SURFACE WAVES; VARIATIONAL TECHNIQUES; WATER WAVES;

DISPERSION (WAVES);

EID: 77955230657     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.08.024     Document Type: Conference Paper

References (20)

1. J.C. Luke A variational principle for a fluid with a free surface J. Fluid Mech. 27 1967 395 397
2. V.E. Zakharov Stability of periodic waves of finite amplitude on the surface of a deep fluid J. Appl. Mech. Tech. Phys 2 1968 190 194
3. L.J.F. Broer On the Hamiltonian theory of surface waves Appl. Sci.Res. 30 1974 340
4. J.W. Miles On Hamilton's principle for surface waves J. Fluid Mech. 83 1977 153 158
5. E. van Groesen, and J. Molenaar Continuum modeling in the physical sciences SIAM, Mathematical Modeling and Computation vol. 13 2007 236 ISBN 13:978-0-898716-25-2
6. E. van Groesen, and Andonowati Variational derivation of KdV-type of models for surface water waves Phys. Lett. A 366 2007 195 201
7. T.B. Benjamin Lectures on nonlinear wave motion Nonlinear Wave Motion, Lectures in Applied Mathematics vol.15 1974 AMS Providence
8. D.J. Korteweg, and G. de Vries On the change of form of long waves advancing in a rectangular canal, and on a ne type of long staionary waves Phil. Mag 39 1895 422 443
9. W. Craig, Walter, P. Guyenne, and H. Kalisch Hamiltonian long-wave expansions for free surfaces and interfaces Comm. Pure Appl. Math. 58 2005 1587 1641 (Pubitemid 43082564)
10. M.M. Rienecker, and J.D. Fenton A Fourier approximation method for steady water wave J. Fluid Mech. 104 1981 119 137
11. R.C.T. Rainey, and M.S. Longuet-Higgins A close one-term approximation to the highest Stokes Wave on deep water Ocean Eng. 33 2006 2012 2024
12. E. van Groesen, and Andonowati Finite energy wave signals of extremal amplitude in the spatial NLS-dynamics Phys.Lett. A 357 2006 86 91
13. E. van Groesen, and Andonowati Extremal periodic wave profiles Nat. Hazards Earth Syst. Sci. 7 2007 33 40
14. J.H. Westhuis, The numerical simulation of Nonlinear waves in a Hydrodynamic model test basin, Thesis University of Twente, The Netherlands, May 2001
15. J.H. Westhuis, and R.H.M. Huijsmans Unstable bichromatic wave groups: Experimental results MARIN Tech. Rep. 15309.152 1999
16. G. Ioos, and J.F. Toland Riemann-Hilbert and variational structure for standing waves Far East J. Appl. Math 15 2004 459 488
17. Andonowati, N. Karjanto, and E. van Groesen Extreme wave phenomena in down-stream running modulated waves Appl. Math. Modelling 7 2007 1425 1443
18. E. van Groesen, Andonowati, and N. Karjanto Displaced Phase-Amplitude variables for Waves on Finite Background Phys.Lett. A 354 2006 312 319
19. Marwan, N. Karyanto, Andonowati, Maximum Temporal Amplitude and Design of Experiments for Generation of Extreme, in: Proceedings of the Eleventh Asian Congress of Fluid Mechanics, 2225 May 2006, Kuala Lumpur, Malaysia
20. N. Karjanto, and E. van Groesen Note on wavefront dislocation in surface wave fields Phys. Lett. A 371 2007 173 179