Search results for "Random waves"

showing 2 items of 2 documents

Incoherent dispersive shocks in the spectral evolution of random waves

2013

We predict theoretically and numerically the existence of incoherent dispersive shock waves. They manifest themselves as an unstable singular behavior of the spectrum of incoherent waves that evolve in a noninstantaneous nonlinear environment. This phenomenon of "spectral wave breaking" develops in the weakly nonlinear regime of the random wave. We elaborate a general theoretical formulation of these incoherent objects on the basis of a weakly nonlinear statistical approach: a family of singular integro-differential kinetic equations is derived, which provides a detailed deterministic description of the incoherent dispersive shock wave phenomenon.

Shock wavePhysics[MATH.MATH-PR] Mathematics [math]/Probability [math.PR]Basis (linear algebra)[STAT.TH] Statistics [stat]/Statistics Theory [stat.TH]Spectrum (functional analysis)ComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSIncoherent scatterGeneral Physics and AstronomyBreaking wave[STAT.TH]Statistics [stat]/Statistics Theory [stat.TH]01 natural sciencesRandom waves010305 fluids & plasmas[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemSpectral evolutionClassical mechanics[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]0103 physical sciences010306 general physics[MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]GeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)ComputingMilieux_MISCELLANEOUSMathematicsofComputing_DISCRETEMATHEMATICS
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Random wave run-up with a physically-based Lagrangian shoreline model

2014

Abstract In the present paper the run-up of random waves was calculated by means of a numerical method. In situ measurements based on a video imaging technique have been used for the validation of the present numerical model. The on-site run-up measurements have been carried out at Lido Signorino beach, near Marsala, Italy,along a transect, normal to the shore. A video camera and a linear array of rods have been used to obtain field data. Numerical simulations with a 1DH Boussinesq-type of model for breaking waves which takes into account the wave run-up by means of a Lagrangian shoreline model have been carried out. In such simulations random waves of given spectrum have been propagated in…

ShoreBoussinesq numerical modelgeographygeography.geographical_feature_categoryMeteorologyNumerical analysisBreaking waveVideo cameraGeneral Medicineirregular wave run-upGeodesyirregular wave run-up; Boussinesq numerical model; shorelineRandom waveslaw.inventionSettore ICAR/01 - IdraulicaFlumesymbols.namesakeshorelinelawsymbolsTransectGeologyLagrangianEngineering(all)
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