scholarly journals A model for Faraday pilot waves over variable topography

2016 ◽  
Vol 811 ◽  
pp. 51-66 ◽  
Author(s):  
Luiz M. Faria
Keyword(s):  
Hydrodynamic Model ◽  
Specular Reflection ◽  
Quantum Systems ◽  
Reduced Model ◽  
Wave System ◽  
Pilot Wave ◽  
The Waves ◽  
Variable Topography

Couder et al. (Nature, vol. 437 (7056), 2005, p. 208) discovered that droplets walking on a vibrating bath possess certain features previously thought to be exclusive to quantum systems. These millimetric droplets synchronize with their Faraday wavefield, creating a macroscopic pilot-wave system. In this paper we exploit the fact that the waves generated are nearly monochromatic and propose a hydrodynamic model capable of quantitatively capturing the interaction between bouncing drops and a variable topography. We show that our reduced model is able to reproduce some important experiments involving the drop–topography interaction, such as non-specular reflection and single-slit diffraction.

scholarly journals APPLICATIONS ON NONLINEAR WAVE COMBINATION

1986 ◽  
Vol 1 (20) ◽  
pp. 26
Author(s):  
J.T. Juang
Keyword(s):  
Wave Height ◽  
Taiwan Strait ◽  
Western Coast ◽  
Linear Wave ◽  
Wave System ◽  
Height Distribution ◽  
Wave Height Distribution ◽  
Local Wave ◽  
Source Wave ◽  
The Waves

Due to the special bathymetry in Taiwan Strait, the waves off the western coast of Taiwan are considered to be composed of two-source wave system. One propagates from the central part of the Strait named main wave, and the other is generated by the local wind known as local wave which occurs along the shore. After the combination and the transformation procedure from these two-nonlinear-source wave system, the wave height distribution in Taiwan Strait should be modified. A comparison of the wave height distributions based on the present proposed method with the field data indicates that the present method yields a better result than other theorems. Furthermore, the result of application of two non-linear wave theorem to wave prediction are also presented.

scholarly journals Energy velocity and reactive fields

2018 ◽  
Vol 376 (2134) ◽  
pp. 20170453 ◽  
Author(s):  
Hans G. Schantz
Keyword(s):  
Electromagnetic Fields ◽  
Logical Consequence ◽  
Plane Waves ◽  
Wave Theory ◽  
Radiation Reaction ◽  
Electromagnetic Theory ◽  
Subsequent Work ◽  
Pilot Wave ◽  
The Waves ◽  
Pilot Wave Theory

Conventional definitions of ‘near fields’ set bounds that describe where near fields may be found. These definitions tell us nothing about what near fields are, why they exist or how they work. In 1893, Heaviside derived the electromagnetic energy velocity for plane waves. Subsequent work demonstrated that although energy moves in synchronicity with radiated electromagnetic fields at the speed of light, in reactive fields the energy velocity slows down, converging to zero in the case of static fields. Combining Heaviside's energy velocity relation with the field Lagrangian yields a simple parametrization for the reactivity of electromagnetic fields that provides profound insights to the behaviour of electromagnetic systems. Fields guide energy. As waves interfere, they guide energy along paths that may be substantially different from the trajectories of the waves themselves. The results of this paper not only resolve the long-standing paradox of runaway acceleration from radiation reaction, but also make clear that pilot wave theory is the natural and logical consequence of the need for quantum mechanics correspond to the macroscopic results of the classical electromagnetic theory. This article is part of the theme issue ‘Celebrating 125 years of Oliver Heaviside's ‘Electromagnetic Theory’’.

scholarly journals Predictability in a hydrodynamic pilot-wave system: Resolution of walker tunneling

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Loïc Tadrist ◽  
Tristan Gilet ◽  
Peter Schlagheck ◽  
John W. M. Bush
Keyword(s):  
Wave System ◽  
Pilot Wave

Information stored in Faraday waves: the origin of a path memory

2011 ◽  
Vol 674 ◽  
pp. 433-463 ◽  
Author(s):  
ANTONIN EDDI ◽  
ERIC SULTAN ◽  
JULIEN MOUKHTAR ◽  
EMMANUEL FORT ◽  
MAURICE ROSSI ◽  
...  
Keyword(s):  
Wave Field ◽  
Travelling Wave ◽  
Linear Superposition ◽  
The Past ◽  
Droplet Collisions ◽  
Pilot Wave ◽  
Faraday Instability ◽  
Localized Mode ◽  
Particle Association ◽  
The Waves

On a vertically vibrating fluid interface, a droplet can remain bouncing indefinitely. When approaching the Faraday instability onset, the droplet couples to the wave it generates and starts propagating horizontally. The resulting wave–particle association, called a walker, was shown previously to have remarkable dynamical properties, reminiscent of quantum behaviours. In the present article, the nature of a walker's wave field is investigated experimentally, numerically and theoretically. It is shown to result from the superposition of waves emitted by the droplet collisions with the interface. A single impact is studied experimentally and in a fluid mechanics theoretical approach. It is shown that each shock emits a radial travelling wave, leaving behind a localized mode of slowly decaying Faraday standing waves. As it moves, the walker keeps generating waves and the global structure of the wave field results from the linear superposition of the waves generated along the recent trajectory. For rectilinear trajectories, this results in a Fresnel interference pattern of the global wave field. Since the droplet moves due to its interaction with the distorted interface, this means that it is guided by a pilot wave that contains a path memory. Through this wave-mediated memory, the past as well as the environment determines the walker's present motion.

scholarly journals Studi Penjalaran Gelombang Laut di Pulau Panjang, Kabupaten Jepara

2021 ◽  
Vol 10 (1) ◽  
pp. 75-87
Author(s):  
Tri Widya Laksana Putra ◽  
Muhammad Zainuri ◽  
Denny Nugroho Sugianto
Keyword(s):  
Wave Propagation ◽  
Direct Measurement ◽  
Hydrodynamic Model ◽  
High Tide ◽  
Acoustic Doppler Current Profiler ◽  
Wind Data ◽  
Two Dimensional ◽  
Single Beam ◽  
Current Profiler ◽  
The Waves

Pulau Panjang terletak di sebelah barat pantai Kota Jepara memiliki luas wilayah teritorial 30 Ha dan dimanfaatan sebagai wisata pulau, wisata ziarah, dan lokasi penangkapan ikan. Kombinasi kondisi gelombang ekstrim dan air pasang mengakibatkan tekanan kuat di pesisir Pulau Panjang sehingga menimbulkan kerusakan pada fasilitas wisata. Berdasarkan hal tersebut, diperlukan adanya analisis mengenai karakteristik penjalaran gelombang laut untuk menunjang segala jenis kegiatan masyarakat. Analisis penjalaran gelombang dilakukan melalui pendekatan pemodelan numerik hidrodinamika dua dimensi (two-dimensional hydrodynamic model). Data primer yang digunakan adalah data pengukuran langsung nilai gelombang menggunakan instrument Acoustic Doppler Current Profiler dan pengukuran langsung data batimetri menggunakan instrument single-beam echosounder. Data sekunder meliputi data angin (1999 – 2019) yang didapatkan dari portal unduh data di www.ogimet.com, data pasang surut BMKG dan data batimetri dari Badan Informasi Geospasial. Tinggi gelombang signifikan (Hs) dan periode signifikan (Ts) didapatkan dari konversi data angin menjadi nilai Hs dan Ts dengan metode DNS. Nilai Hs dan Ts maksimal setiap arah mata angin mmenjadi input perhitungan model hidrdodinamika. Hasil spasial penjalaran gelombang tertinggi terjadi pada arah datang gelombang dari arah timur laut, tenggara dan barat.  Penjalaran gelombang di Pulau Panjang menciptakan daerah terlindung di sisi seberang dari arah datang gelombang dan saat gelombang endekati pantai penjalaran gelombang mengikuti kontur garis pantai diikuti dengan melemahnya kecepatan rambat gelombang. Panjang Island is located on the west coast of Jepara City and has a territorial area of 30 hectares and is used as island tourism, pilgrimage tours, and fishing locations. The combination of extreme wave conditions and high tide resulted in strong force on the coast of Panjang Island causing damage to tourist facilities. Based on this, it is necessary to have an characteristics analysis of the sea waves propagation to support all types of community activities. Analysis of the propagation of the waves was carried out using a two-dimensional hydrodynamic model approach. The primary data used are direct measurement data of wave values using the Acoustic Doppler Current Profiler instrument and direct measurement of bathymetric data using a single-beam echosounder instrument. Secondary data includes wind data (1999 - 2019) obtained from the data download portal at www.ogimet.com, BMKG tidal data and bathymetry data from the Geospatial Information Agency. Significant wave height (Hs) and significant period (Ts) are obtained from the conversion of wind data into Hs and Ts values using the DNS method. The maximum Hs and Ts values for each cardinal direction are the input for calculating the hydrodynamic model. The highest spatial results of wave propagation occur in the coming direction of waves from the northeast, southeast and west. The wave propagation in Panjang Island creates a protected area on the opposite side from the direction of the waves coming and when the waves approach the coast the propagation of the waves follow the contours of the coastline followed by a weakening of the wave propagation speed.

NUMERICAL MODELLING AND ASSESSMENT OF THE UGEN FLOATING WAVE ENERGY CONVERTER

2021 ◽  
Vol 153 (A2) ◽  
Author(s):  
N Fonseca ◽  
S R Silva ◽  
J Pessoa
Keyword(s):  
Numerical Modelling ◽  
Relative Motion ◽  
Wave Energy ◽  
Hydrodynamic Model ◽  
Wave Energy Converter ◽  
Energy Converter ◽  
Rolling Mode ◽  
The Waves

The paper presents a linear hydrodynamic model for the UGEN wave energy converter, an analysis of the dynamics of the system and the predicted ability to extract energy from the waves. The UGEN (floating device with a U tank for GENeration of electricity from waves) consists of an asymmetric floater with a large internal U tank filled with water, where the energy is extracted from the relative motion between the water inside the tank and the rolling of the floater. The floater rolling mode of motion is the main stimulator of the motion of the water in the tank, however the sway and heave motions are also coupled therefore the system has motion.

scholarly journals Faraday wave–droplet dynamics: discrete-time analysis

2017 ◽  
Vol 821 ◽  
pp. 296-329 ◽  
Author(s):  
Matthew Durey ◽  
Paul A. Milewski
Keyword(s):  
Statistical Analysis ◽  
Fixed Points ◽  
Discrete Time ◽  
First Principles ◽  
Fluid Model ◽  
Wave System ◽  
Time Analysis ◽  
Droplet Dynamics ◽  
Pilot Wave ◽  
The Stability

A droplet may ‘walk’ across the surface of a vertically vibrating bath of the same fluid, due to the propulsive interaction with its wave field. This hydrodynamic pilot-wave system exhibits many dynamics previously believed to exist only in the quantum realm. Starting from first principles, we derive a discrete-time fluid model, whereby the bath–droplet interactions are modelled as instantaneous. By analysing the stability of the fixed points of the system, we explain the dynamics of a walking droplet and capture the quantisations for multiple-droplet interactions. Circular orbits in a harmonic potential are studied, and a double quantisation of chaotic trajectories is obtained through systematic statistical analysis.

Statistical projection effects in a hydrodynamic pilot-wave system

2017 ◽  
Vol 14 (3) ◽  
pp. 315-319 ◽  
Author(s):  
Pedro J. Sáenz ◽  
Tudor Cristea-Platon ◽  
John W. M. Bush
Keyword(s):  
Wave System ◽  
Pilot Wave ◽  
Statistical Projection
Sign in / Sign up

Export Citation Format

Share Document