scholarly journals Discrete line fields on surfaces

2021 ◽  
Vol 290 ◽  
pp. 107603
Author(s):  
Tiago Novello ◽  
João Paixão ◽  
Carlos Tomei ◽  
Thomas Lewiner
Keyword(s):  
1987 ◽  
Vol 13 (6) ◽  
pp. 847-881 ◽  
Author(s):  
J Simpson ◽  
M A Riley ◽  
J R Cresswell ◽  
D V Elenkov ◽  
P D Forsyth ◽  
...  
Keyword(s):  

1975 ◽  
Vol 71 (1) ◽  
pp. 1-13 ◽  
Author(s):  
F. M. Hill

Numerical methods are used to investigate the motion of a horizontal vortex pair through a stably stratified atmosphere. The vortices carry with them a mass of fluid whose density differs from that of the air through which it descends, and the surface of this accompanying fluid becomes a vortex sheet, which is modelled by a set of discrete line vortices.It is shown that, at first, the vortex pair slows down with the shape of the envelope of the accompanying fluid remaining constant. Later, vorticity concentrates at the rear, initiating detrainment and causing a downward acceleration of the vortex pair. Throughout the motion, the vortices approach each other.


Sensors ◽  
2020 ◽  
Vol 20 (4) ◽  
pp. 1236
Author(s):  
Donghwan Jung ◽  
Jeasoo Kim

Beam pattern measurement is essential to verifying the performance of an array sonar. However, common problems in beam pattern measurement of arrays include constraints on achieving the far-field condition and reaching plane waves mainly due to limited measurement space as in acoustic water tank. For this purpose, the conventional method of measuring beam patterns in limited spaces, which transform near-field measurement data into far-field results, is used. However, the conventional method is time-consuming because of the dense spatial sampling. Hence, we devised a method to measure the beam pattern of a discrete line array in limited space based on the subarray method. In this method, a discrete line array with a measurement space that does not satisfy the far-field condition is divided into several subarrays, and the beam pattern of the line array can then be determined from the subarray measurements by the spatial convolution that is equivalent to the multiplication of beam pattern. The proposed method was verified through simulation and experimental measurement on a line array with 256 elements of 16 subarrays.


1988 ◽  
Vol 486 (2) ◽  
pp. 456-492 ◽  
Author(s):  
M.A. Riley ◽  
J. Simpson ◽  
J.F. Sharpey-Schafer ◽  
J.R. Cresswell ◽  
H.W. Cranmer-Gordon ◽  
...  

2010 ◽  
Vol Vol. 12 no. 3 ◽  
Author(s):  
Nicolas Bédaride ◽  
Eric Domenjoud ◽  
Damien Jamet ◽  
Jean-Luc Rémy

International audience We exhibit a recurrence on the number of discrete line segments joining two integer points in the plane using an encoding of such segments as balanced words of given length and height over the two-letter alphabet $\{0,1\}$. We give generating functions and study the asymptotic behaviour. As a particular case, we focus on the symmetrical discrete segments which are encoded by balanced palindromes.


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