Machine Learning to approximate free-surface Green's function and its application in wave-body interactions

2022 ◽  
Vol 134 ◽  
pp. 35-48
Author(s):  
Shan Huang ◽  
Renchuan Zhu ◽  
Hongyu Chang ◽  
Hui Wang ◽  
Yun Yu
Keyword(s):  
Machine Learning ◽  
Free Surface ◽  
Green’S Function ◽  
Green's Function

Propagation of a Radar Modulated Ocean Wave Field

2014 ◽  
Author(s):  
M. S. M. Paalvast ◽  
P. Naaijen ◽  
H. R. M. Huijsmans
Keyword(s):  
Boundary Condition ◽  
Free Surface ◽  
Green’S Function ◽  
Wave Field ◽  
Frequency Domain ◽  
Green's Function ◽  
Propagation Model ◽  
Surface Boundary ◽  
Surface Source ◽  
Wave Elevation

In this article a study has been carried out to explore the feasibility of a wave propagation model that is able to predict the wave field in a deterministic sense, based on remote observations of the sea surface. The surface is modulated in order to simulate images created by a marine radar operating at grazing incidence. The developed model uses an integral equation method, utilizing the frequency domain Green’s function which fulfills the linear free surface boundary condition. Synthesized observations of either the wave elevation or surface tilt at the source points are used to initialize the wave model. At each of the locations of the added remote free surface panels, time traces of the observed wave elevation or surface tilt can be recorded. A Fourier Transform (FFT) of these time traces yields the frequency domain description of the boundary condition that has to be satisfied by the wave potential. The derived Green’s function for the free surface source panels is then used to solve the source of strength at these panels. Once values have been found for the sources, the potential, and thus the surface elevation, may be calculated at the ship’s location.

Green's Function Method for Calculation of Strain Field Due to a Quantum Dot in a Semi-Infinite Anisotropic Solid

2002 ◽  
Vol 727 ◽  
Author(s):  
V.K. Tewary
Keyword(s):  
Quantum Dots ◽  
Free Surface ◽  
Quantum Dot ◽  
Green’S Function ◽  
Green's Function ◽  
Strain Field ◽  
Function Method ◽  
Field Interaction ◽  
Green’S Function Method ◽  
Analytic Expressions

AbstractA computationally convenient Green's function method is described for calculation of strain characteristics of quantum dots in an anisotropic semi- infinite solid containing a free surface. Semi-analytic expressions are derived for the strain field due to a quantum dot, strain energy of a quantum dot, and strain- field interaction between 2 quantum dots. Numerical results are presented for the strain field due to a quantum dot in GaAs. It is shown that the effect of the free surface, which has been neglected in earlier calculations using Green's function methods, is quite significant.

scholarly journals Identification of release sources in advection–diffusion system by machine learning combined with Green’s function inverse method

2018 ◽  
Vol 60 ◽  
pp. 64-76 ◽  
Author(s):  
Valentin G. Stanev ◽  
Filip L. Iliev ◽  
Scott Hansen ◽  
Velimir V. Vesselinov ◽  
Boian S. Alexandrov
Keyword(s):  
Machine Learning ◽  
Green’S Function ◽  
Green's Function ◽  
Inverse Method ◽  
Diffusion System ◽  
Advection Diffusion ◽  
Function Inverse
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