Non-Linear Space-Time Evolution of Wave Groups With a High Crest

2003 ◽  
Author(s):  
Felice Arena ◽  
Francesco Fedele
Keyword(s):  
Time Evolution ◽  
Field Experiments ◽  
Surface Displacement ◽  
Fixed Time ◽  
Space Time ◽  
Second Order ◽  
Small Scale ◽  
Free Surface Displacement ◽  
Non Linear ◽  
Space Time Evolution

The theory of quasi-determinism, for the mechanics of linear three-dimensional waves, was obtained by Boccotti in the eighties. The first formulation of the theory deals with the largest crest amplitude; the second formulation deals with the largest wave height. The theory was verified in the nineties with some small-scale field experiments. In this paper the first formulation of Boccotti’s theory, valid for the space-time domain, is extended to the second order. The analytical expressions of the non-linear free surface displacement and velocity potential are obtained. Therefore the space-time evolution of a wave group, to the second-order in a Stokes expansion, when a very large crest occurs at a fixed time and location, is investigated. Finally the second-order probability of exceedance of the crest amplitude is obtained, as a function of two deterministic parameters.

Nonlinear Space–Time Evolution of Wave Groups With a High Crest

2005 ◽  
Vol 127 (1) ◽  
pp. 46-51 ◽  
Author(s):  
Felice Arena ◽  
Francesco Fedele
Keyword(s):  
Time Evolution ◽  
Surface Displacement ◽  
Fixed Time ◽  
Space Time ◽  
Second Order ◽  
Random Wave ◽  
Wave Groups ◽  
Free Surface Displacement ◽  
Nonlinear Free Surface ◽  
Space Time Evolution

The theory of quasi-determinism, for the mechanics of linear random wave groups was obtained by Boccotti in the eighties. The first formulation of the theory deals with the largest crest amplitude; the second formulation deals with the largest wave height. In this paper the first formulation of Boccotti’s theory, particularized for long-crested waves, is extended to the second-order. The analytical expressions of the nonlinear free surface displacement and velocity potential are obtained. The space–time evolution of the nonlinear wave group, when a very large crest occurs at a fixed time and location, is then shown. Finally the second-order probability of exceedance of the crest amplitude is obtained and validated by Monte Carlo simulation.

Non-Linear Random Wave Groups With a Superimposed Current

2006 ◽  
Author(s):  
Vincenzo Nava ◽  
Felice Arena ◽  
Alessandra Romolo
Keyword(s):  
Velocity Potential ◽  
Surface Displacement ◽  
Second Order ◽  
Random Wave ◽  
Wave Groups ◽  
Wave Kinematics ◽  
Free Surface Displacement ◽  
Non Linear ◽  
Uniform Current ◽  
Current Interaction

In this paper a new solution for non-linear random wave groups in the presence of a uniform current is obtained, by extending to the second-order the Boccotti’s ‘Quasi-Determinism’ (QD) theory. The second formulation of the QD theory gives the mechanics of linear random wave groups when a large crest-to-trough wave height occurs. Here the linear QD theory is firstly applied to the wave-current interaction. Therefore the nonlinear expressions both of free surface displacement and velocity potential are obtained, to the second-order in a Stokes’ expansion. Finally some numerical applications are presented in order to analyze both the wave profile and the wave kinematics.

scholarly journals Space–time evolution of the λφ4 model: classical and quantum aspects

2001 ◽  
Vol 508 (3-4) ◽  
pp. 243-250 ◽  
Author(s):  
Fábio L. Braghin ◽  
Fernando S. Navarra
Keyword(s):  
Time Evolution ◽  
Space Time ◽  
Space Time Evolution ◽  
Quantum Aspects

scholarly journals Electromagnetic effects on meson production: a new tool for studying the space-time evolution of heavy ion collisions

2016 ◽  
Vol 130 ◽  
pp. 05016 ◽  
Author(s):  
Andrzej Rybicki ◽  
Antoni Szczurek ◽  
Mariola Kłusek-Gawenda ◽  
Nikolaos Davis ◽  
Vitalii Ozvenchuk ◽  
...  
Keyword(s):  
Time Evolution ◽  
Heavy Ion Collisions ◽  
Meson Production ◽  
Heavy Ion ◽  
Space Time ◽  
Ion Collisions ◽  
Electromagnetic Effects ◽  
Space Time Evolution

scholarly journals Charged Kaon Interferometric Probes of Space-Time Evolution inAu+AuCollisions atsNN=200  GeV

2009 ◽  
Vol 103 (14) ◽  
Author(s):  
S. Afanasiev ◽  
C. Aidala ◽  
N. N. Ajitanand ◽  
Y. Akiba ◽  
J. Alexander ◽  
...  
Keyword(s):  
Time Evolution ◽  
Space Time ◽  
Charged Kaon ◽  
200 Gev ◽  
Space Time Evolution

Space–time evolution of spin-wave packets

2009 ◽  
Vol 40 (4-5) ◽  
pp. 779-781 ◽  
Author(s):  
P. Pereyra ◽  
V.G. Ibarra-Sierra ◽  
J.L. Cardoso
Keyword(s):  
Time Evolution ◽  
Spin Wave ◽  
Wave Packets ◽  
Space Time ◽  
Space Time Evolution
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