On the recovery of solitary wave profiles from pressure measurements

2012 ◽  
Vol 699 ◽  
pp. 376-384 ◽  
Author(s):  
A. Constantin
Keyword(s):  
Solitary Wave ◽  
Explicit Formula ◽  
Large Amplitude ◽  
Water Wave ◽  
Pressure Measurements ◽  
Pressure Data ◽  
Governing Equations ◽  
Wave Profiles

AbstractWe derive an explicit formula that permits the recovery of the profile of an irrotational solitary water wave from pressure data measured at the flat bed of the fluid domain. The formula is valid for the governing equations and applies to waves of small and large amplitude.

scholarly journals Recovery of steady periodic wave profiles from pressure measurements at the bed

2013 ◽  
Vol 714 ◽  
pp. 463-475 ◽  
Author(s):  
D. Clamond ◽  
A. Constantin
Keyword(s):  
Water Waves ◽  
Water Wave ◽  
Small Amplitude ◽  
Periodic Wave ◽  
Classical Solutions ◽  
Periodic Waves ◽  
Pressure Measurements ◽  
Governing Equations ◽  
Shallow Water Waves ◽  
Wave Profiles

AbstractWe derive an equation relating the pressure at the flat bed and the profile of an irrotational steady water wave, valid for all classical solutions of the governing equations for water waves. This permits the recovery of the surface wave from pressure measurements at the bed. Although we focus on periodic waves, the extension to solitary waves is straightforward. We illustrate the usefulness of the equation beyond the realm of linear theory by investigating the regime of shallow-water waves of small amplitude and by presenting a numerical example.

scholarly journals Water-wave profiles from pressure measurements: Extensions

2017 ◽  
Vol 68 ◽  
pp. 175-180 ◽  
Author(s):  
Vishal Vasan ◽  
Katie L. Oliveras
Keyword(s):  
Water Wave ◽  
Pressure Measurements ◽  
Wave Profiles

A method to recover water-wave profiles from pressure measurements

Wave Motion ◽  
2017 ◽  
Vol 75 ◽  
pp. 25-35 ◽  
Author(s):  
Vishal Vasan ◽  
Katie Oliveras ◽  
Diane Henderson ◽  
Bernard Deconinck
Keyword(s):  
Water Wave ◽  
Pressure Measurements ◽  
Wave Profiles

scholarly journals Soliton solutions for (2+1) and (3+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony model equations and their applications

Filomat ◽  
2018 ◽  
Vol 32 (2) ◽  
pp. 531-542 ◽  
Author(s):  
Kalim Tariq ◽  
Aly Seadawy
Keyword(s):  
Solitary Wave ◽  
Water Wave ◽  
Soliton Solutions ◽  
Fluid Flows ◽  
Wave Model ◽  
Wave Surface ◽  
Governing Equations ◽  
Ansatz Method ◽  
Solitary Wave Ansatz Method ◽  
Model Equations

The Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) model equations as a water wave model, are governing equations, for fluid flows, describes bidirectional propagating water wave surface. The soliton solutions for (2+1) and (3+1)-Dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equations have been extracted. The solitary wave ansatz method are adopted to approximate the solutions. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the problem.

Estimating wave heights from pressure data at the bed

2014 ◽  
Vol 743 ◽  
Author(s):  
A. Constantin
Keyword(s):  
Linear Theory ◽  
Wave Height ◽  
Water Wave ◽  
Small Amplitude ◽  
Wave Amplitude ◽  
Pressure Measurements ◽  
Two Dimensional ◽  
Pressure Data ◽  
Hydrostatic Approximation ◽  
Wave Heights

AbstractWe provide some estimates for the wave height of a two-dimensional travelling gravity water wave from pressure measurements at the flat bed. The approach is applicable without limitations on the wave amplitude. It improves the classical estimates available if one relies on the hydrostatic approximation or on the linear theory of waves of small amplitude.

The Inductive Coil Technique for High-Pressure Measurements: An Analysis of Nonhomogeneous Material Environment as a Source of Irreproducibility and Error

1967 ◽  
Vol 89 (3) ◽  
pp. 554-560 ◽  
Author(s):  
A. A. Giardini
Keyword(s):  
High Pressure ◽  
Internal Pressure ◽  
Elastic Constants ◽  
Graphical Form ◽  
Pressure Measurements ◽  
Pressure Data ◽  
Nonhomogeneous Material ◽  
Resistivity Measurements ◽  
Material Environment ◽  
Critical Yield

Significant sources of error independent of the apparatus are analyzed on the basis of experimental experience and elastic theory. All are mechanical in nature and subject to corrective action. The most serious is found to be self-generating internal pressure differences which result from differential elastic and dimensional values in multicomponent assemblies. High-pressure data on elastic constants, relative critical yield stresses, radial displacements, and ratios of external to internal pressure for various compositional arrangements of pyrophyllite, MgO, NaCl, and AgCl are given in graphical form. Observance of suggested corrective measures can render the inductive coil technique capable of operational accuracies of 2 percent or better in compressibility and resistivity measurements.

Theoretical and Experimental Study of the Nonlinearly Coupled Heave, Pitch, and Roll Motions of a Ship in Longitudinal Waves

1993 ◽  
Author(s):  
I. G. Oh ◽  
A. H. Nayfeh ◽  
D. T. Mook
Keyword(s):  
Large Amplitude ◽  
Degrees Of Freedom ◽  
Excitation Frequency ◽  
Force Response ◽  
Governing Equations ◽  
Response Curves ◽  
Varying Coefficients ◽  
Jump Phenomena ◽  
Time Varying Coefficients ◽  
Three Degrees Of Freedom

Abstract The loss of dynamic stability and the resulting large-amplitude roll of a vessel in a head or following sea were studied theoretically and experimentally. A ship model with three degrees of freedom (roll, pitch, heave) was considered. The governing equations for the heave and pitch modes were linearized and their harmonic solutions were coupled with the nonlinear equation governing roll. The resulting equation, which has time-varying coefficients, was used to predict the response in roll. The principal parametric resonance was considered in which the excitation frequency is twice the natural frequency in roll. Force-response curves were obtained. The existence of jump phenomena and multiple stable solutions for the case of subcritical instability was observed in the experiments and found to be in good qualitative agreement with the results predicted by the theory. The experiments also revealed that the large-amplitude roll is dependent on the location of the model in the standing waves.

Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models

2020 ◽  
Vol 30 (03) ◽  
pp. 2050036 ◽  
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Two Component ◽  
Wave Models

For three two-component shallow water wave models, from the approach of dynamical systems and the singular traveling wave theory developed in [Li & Chen, 2007], under different parameter conditions, all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are derived. More than 19 explicit exact parametric representations are obtained. Of more interest is that, for the integrable two-component generalization of the Camassa–Holm equation, it is found that its [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions. In addition, its [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions. The new results complete a recent study by Dutykh and Ionescu-Kruse [2016].

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