scholarly journals Non-local scaling in two-dimensional gravitational clustering

1998 ◽  
Vol 293 (3) ◽  
pp. L68-L72 ◽  
Author(s):  
D. Munshi ◽  
L.-Y. Chiang ◽  
P. Coles ◽  
A. L. Melott
Keyword(s):  
Two Dimensional ◽  
Local Scaling ◽  
Gravitational Clustering ◽  
Non Local

scholarly journals Non-local regularisation and two-dimensional induced actions

1992 ◽  
Vol 288 (1-2) ◽  
pp. 47-53 ◽  
Author(s):  
F. De Jonghe ◽  
R. Siebelink ◽  
W. Troost
Keyword(s):  
Two Dimensional ◽  
Non Local

Infrared Reynolds number dependency of the two-dimensional inverse energy cascade

2011 ◽  
Vol 667 ◽  
pp. 463-473 ◽  
Author(s):  
ANDREAS VALLGREN
Keyword(s):  
Reynolds Number ◽  
Cascade Range ◽  
Energy Cascade ◽  
Energy Spectra ◽  
Small Scale ◽  
Two Dimensional ◽  
Inverse Energy Cascade ◽  
Linear Friction ◽  
Non Local ◽  
Reynolds Number Dependency

High-resolution simulations of forced two-dimensional turbulence reveal that the inverse cascade range is sensitive to an infrared Reynolds number, Reα = kf/kα, where kf is the forcing wavenumber and kα is a frictional wavenumber based on linear friction. In the limit of high Reα, the classic k−5/3 scaling is lost and we obtain steeper energy spectra. The sensitivity is traced to the formation of vortices in the inverse energy cascade range. Thus, it is hypothesized that the dual limit Reα → ∞ and Reν = kd/kf → ∞, where kd is the small-scale dissipation wavenumber, will lead to a steeper energy spectrum than k−5/3 in the inverse energy cascade range. It is also found that the inverse energy cascade is maintained by non-local triad interactions.

scholarly journals Nonlocal Means Two Dimensional Histogram-Based Image Segmentation via Minimizing Relative Entropy

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 827 ◽  
Author(s):  
Chundi Jiang ◽  
Wei Yang ◽  
Yu Guo ◽  
Fei Wu ◽  
Yinggan Tang
Keyword(s):  
Image Segmentation ◽  
Relative Entropy ◽  
Spatial Information ◽  
Two Dimensional ◽  
Nonlocal Means ◽  
Mean Filter ◽  
Filter Process ◽  
Local Mean ◽  
Non Local ◽  
Correlation Information

Spatial correlation information between pixels is considered to be very important in thresholding methods. However, it is often ignored and thus unsatisfied segmentation results maybe obtained. To overcome this shortcoming, we propose a new image segmentation approach by taking not only pixels’ spatial information but also pixels’s gray level into account. First, a non-local mean filter is imposed on the image. Then the filtered image and the original image together are adopted to build a two dimensional histogram, it is called non-local mean two dimensional histogram. Finally, a minimum relative entropy criteria is used to select the ideal thresholding vector. Since the non-local mean filter process is performed in a neighborhood of current pixel, it carries out the spatial information of current pixel. Segmentation results on several images illustrate the effectiveness of the proposed thresholding method, whose segmentation accuracy are greatly improved compared to most existing thresholding methods.

The Effect of Insulated Cracks on Heat Transfer of Thermoelectric Plates Using Peridynamics

2020 ◽  
Vol 10 (4) ◽  
pp. 25-39
Author(s):  
Migbar Assefa Zeleke ◽  
Lai Xin ◽  
Liu Lisheng
Keyword(s):  
Electric Fields ◽  
Crack Surface ◽  
Temperature Fields ◽  
Two Dimensional ◽  
Electrical Potentials ◽  
Non Local ◽  
The One ◽  
Growing Cracks ◽  
Good Agreement ◽  
The Continuum

In this article, peridynamic (PD) theory is applied to analyze two-dimensional heat conduction of thermoelectric plate with discontinuities. It is a well-known fact that heat flux is undefined at the crack tip and causes the temperature field across the crack surface discontinuous. Hence, numerical procedures like finite element method (FEM) became unsuccessful to capture details of moving discontinuities like growing cracks. Therefore, this article proposes a PD theory that is appropriate in resolving moving discontinuities in thermal and electric fields. The PD equations were constructed by writing the continuum-based electrical potentials and temperature fields in the form of their respective non-local integrals that are remarkably powerful in solving continuum problems whether the authors have moving discontinuities or not. To elucidate the trustworthiness of the PD theory, the results in the case of stationary cracks are compared with the one from FEM and witnessed that they were in good agreement.

A non-local two-dimensional foundation model

2012 ◽  
Vol 83 (2) ◽  
pp. 253-272 ◽  
Author(s):  
Giuseppe Failla ◽  
Adolfo Santini ◽  
Massimiliano Zingales
Keyword(s):  
Two Dimensional ◽  
Foundation Model ◽  
Non Local

scholarly journals Two-dimensional phonon hydrodynamics in narrow strips

2015 ◽  
Vol 471 (2182) ◽  
pp. 20150376 ◽  
Author(s):  
A. Sellitto ◽  
I. Carlomagno ◽  
D. Jou
Keyword(s):  
Heat Flow ◽  
Heat Transport ◽  
Knudsen Number ◽  
Slip Flow ◽  
Transport Equations ◽  
Two Dimensional ◽  
Non Local

Heat flow along two-dimensional strips as a function of the Knudsen number is examined in two different versions of heat-transport equations with non-local terms, with or without heat slip flow. In both of them, a parabolic heat profile corresponding to the Poiseuille phonon flow may appear in some domains of temperature, or of the Knudsen number, in the transition from the Fourier regime to the ballistic one. The influence of the slip heat flow on such a transition is discussed.

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