Gravity waves on a rough bottom: experimental evidence of one-dimensional localization

1988 ◽  
Vol 186 ◽  
pp. 539-558 ◽  
Author(s):  
Max Belzons ◽  
Elisabeth Guazzelli ◽  
Olivier Parodi
Keyword(s):  
Experimental Evidence ◽  
Gravity Waves ◽  
Finite Size ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Localization Phenomenon ◽  
Resonant Modes ◽  
Theoretical Predictions ◽  
Rough Bed ◽  
First Time

We present experimental evidence of the localization of linear gravity waves on a rough (i.e. random) bottom in a one-dimensional channel. The localization phenomenon is observed through very precise measurements in a wave tank. Viscous dissipation and rough-bed finite-size effects are examined. The experimental estimation of the localization lengths are compared with the theoretical predictions of Devillard, Dunlop & Souillard (1988). Finally, the resonant modes due to the disorder are directly observed for the first time.

scholarly journals Finite-size effects on topological interface states in one-dimensional scattering systems

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
P. A. Kalozoumis ◽  
G. Theocharis ◽  
V. Achilleos ◽  
S. Félix ◽  
O. Richoux ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Interface States ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Scattering Systems

Impact and Bandgap Characteristics of Periodic Rods With Viscoelastic Inserts and Local Resonators

2020 ◽  
Vol 143 (4) ◽  
Author(s):  
Y. Alsaffar ◽  
O. Aldraihem ◽  
A. Baz
Keyword(s):  
Finite Element ◽  
Impact Loading ◽  
Complex Modulus ◽  
Structural Response ◽  
Element Model ◽  
One Dimensional ◽  
Theoretical Predictions ◽  
Finite Element Package ◽  
Viscoelastic Composites ◽  
First Time

Abstract A comprehensive theoretical and experimental study is presented of the bandgap behavior of periodic viscoelastic material (VEM) composites subjected to impact loading. The composites under consideration consist of an assembly of aluminum sections integrated with periodic inserts which are arranged in one-dimensional configurations. The investigated inserts are manufactured either from VEM only or VEM with local resonators (LR). A finite element model (FEM) is developed to predict the dynamics of this class of VEM composites by integrating the dynamics of the solid aluminum sections with those of VEM using the Golla-Hughes-Mctavish (GHM) mini-oscillator approach. The integrated model enables, for the first time, the accurate predictions of the bandgap characteristics of periodic viscoelastic composites unlike previous studies where the viscoelastic damping is modeled using the complex modulus approach with storage modulus and loss factor are assumed constants and independent of the frequency or the unrealistic and physically inaccurate Kelvin–Voigt viscous-damping models. The predictions of the developed FEM are validated against the predictions of the commercial finite element package ansys. Furthermore, the FEM predictions are checked experimentally using prototypes of the VEM composites with VEM and VEM/LR inserts. Comparisons are also established against the behavior of plain aluminum rods in an attempt to demonstrate the effectiveness of the proposed class of composites in mitigation of the structural response under impact loading. Close agreements are demonstrated between the theoretical predictions and the obtained experimental results.

scholarly journals Suppression of finite-size effects in one-dimensional correlated systems

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
A. Gendiar ◽  
M. Daniška ◽  
Y. Lee ◽  
T. Nishino
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Correlated Systems ◽  
One Dimensional

An experimental study of the onset of parametrically pumped surface waves in viscous fluids

1995 ◽  
Vol 288 ◽  
pp. 325-350 ◽  
Author(s):  
John Bechhoefer ◽  
Valerie Ego ◽  
Sebastien Manneville ◽  
Brad Johnson
Keyword(s):  
Surface Waves ◽  
Size Effects ◽  
Experimental Studies ◽  
Finite Size ◽  
Finite Depth ◽  
Finite Size Effects ◽  
Polar Fluid ◽  
Faraday Instability ◽  
Theoretical Predictions ◽  
Finite Size Corrections

We measure the threshold accelerations necessary to excite surface waves in a vertically vibrated fluid container (the Faraday instability). Under the proper conditions, the thresholds and onset wavelengths agree with recent theoretical predictions for a laterally infinite, finite-depth container filled with a viscous fluid. Experimentally, we show that by using a viscous, non-polar fluid, the finite-size effects of sidewalls and the effects of surface contamination can be made negligible. We also show that finite-size corrections are of order h/L, where h is the fluid depth and L the container size. Based on these measurements, one can more easily interpret certain unexpected observations from previous experimental studies of the Faraday instability.

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

Localization of gravity waves on a channel with a random bottom

1988 ◽  
Vol 186 ◽  
pp. 521-538 ◽  
Author(s):  
Pierre Devillard ◽  
François Dunlop ◽  
Bernard Souillard
Keyword(s):  
Gravity Waves ◽  
Theoretical Study ◽  
Localization Length ◽  
Full Potential ◽  
Matrix Approach ◽  
Localization Problem ◽  
One Dimensional ◽  
Localization Phenomenon ◽  
Localization Theory ◽  
Transfer Matrix Approach

We present a theoretical study of the localization phenomenon of gravity waves by a rough bottom in a one-dimensional channel. After recalling localization theory and applying it to the shallow-water case, we give the first study of the localization problem in the framework of the full potential theory; in particular we develop a renormalized-transfer-matrix approach to this problem. Our results also yield numerical estimates of the localization length, which we compare with the viscous dissipation length. This allows the prediction of which cases localization should be observable in and in which cases it could be hidden by dissipative mechanisms.

scholarly journals Intermittency and Critical Scaling in Annular Couette Flow

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 988 ◽  
Author(s):  
Kazuki Takeda ◽  
Yohann Duguet ◽  
Takahiro Tsukahara
Keyword(s):  
Couette Flow ◽  
Finite Size ◽  
Radius Ratio ◽  
Small Radius ◽  
Plane Couette Flow ◽  
Confinement Effects ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Onset Of Turbulence ◽  
Annular Geometry

The onset of turbulence in subcritical shear flows is one of the most puzzling manifestations of critical phenomena in fluid dynamics. The present study focuses on the Couette flow inside an infinitely long annular geometry where the inner rod moves with constant velocity and entrains fluid, by means of direct numerical simulation. Although for a radius ratio close to unity the system is similar to plane Couette flow, a qualitatively novel regime is identified for small radius ratio, featuring no oblique bands. An analysis of finite-size effects is carried out based on an artificial increase of the perimeter. Statistics of the turbulent fraction and of the laminar gap distributions are shown both with and without such confinement effects. For the wider domains, they display a cross-over from exponential to algebraic scaling. The data suggest that the onset of the original regime is consistent with the dynamics of one-dimensional directed percolation at onset, yet with additional frustration due to azimuthal confinement effects.

Fermi surface of the one-dimensional Hubbard model: Finite-size effects

1989 ◽  
Vol 162-164 ◽  
pp. 805-806
Author(s):  
C. Bourbonnais ◽  
H. Nelisse ◽  
A. Reid ◽  
A.-M.S. Tremblay
Keyword(s):  
Fermi Surface ◽  
Hubbard Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
One Dimensional ◽  
The One
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