scholarly journals Comparison of Coarse Graining DEM Models Based on Exact Scaling Laws

2021 ◽  
Vol 127 (3) ◽  
pp. 1133-1150
Author(s):  
Bin Zhang ◽  
Yiming Huang ◽  
Tingting Zhao
Keyword(s):  
Scaling Laws ◽  
Coarse Graining ◽  
Exact Scaling

scholarly journals Exploiting scaling laws for designing polymeric bottle brushes: a theoretical coarse-graining for homopolymeric branched polymers

2019 ◽  
Vol 21 (27) ◽  
pp. 14873-14878 ◽  
Author(s):  
Pietro Corsi ◽  
Elia Roma ◽  
Tecla Gasperi ◽  
Fabio Bruni ◽  
Barbara Capone
Keyword(s):  
Scaling Laws ◽  
Star Polymers ◽  
Coarse Graining ◽  
Branched Polymers ◽  
Coarse Grain ◽  
Multiscale Approach ◽  
Bottle Brushes

Scaling multiscale approach to coarse grain bottle brushes polymeric macromolecules as effective chains of tethered star polymers.

scholarly journals Exact scaling laws and the local structure of isotropic magnetohydrodynamic turbulence

2007 ◽  
Vol 575 ◽  
pp. 111-120 ◽  
Author(s):  
T. A. YOUSEF ◽  
F. RINCON ◽  
A. A. SCHEKOCHIHIN
Keyword(s):  
Scaling Laws ◽  
Linear Scaling ◽  
Mhd Turbulence ◽  
Third Order ◽  
Magnetohydrodynamic Turbulence ◽  
Kolmogorov Turbulence ◽  
Non Local ◽  
Prandtl Numbers ◽  
The Magnetic Field ◽  
Exact Scaling

This paper examines the consistency of the exact scaling laws for isotropic magnetohydrodynamic (MHD) turbulence in numerical simulations with large magnetic Prandtl numbers Pm and with Pm = 1. The exact laws are used to elucidate the structure of the magnetic and velocity fields. Despite the linear scaling of certain third-order correlation functions, the situation is not analogous to the case of Kolmogorov turbulence. The magnetic field is adequately described by a model of a stripy (folded) field with direction reversals at the resistive scale. At currently available resolutions, the cascade of kinetic energy is short-circuited by the direct exchange of energy between the forcing-scale motions and the stripy magnetic fields. This non-local interaction is the defining feature of isotropic MHD turbulence.

Percolation and universality

2018 ◽  
Author(s):  
Joseph F. Boudreau ◽  
Eric S. Swanson
Keyword(s):  
Short Range ◽  
Scaling Laws ◽  
Coarse Graining ◽  
Recognition Algorithm ◽  
Model Systems ◽  
Fractal Nature ◽  
Large Classes ◽  
Global Properties ◽  
Cluster Recognition ◽  
Range Dynamics

Percolation deals with global properties of random configurations of local objects. While simple to implement in models, understanding percolation requires skill in pattern recognition and analysis. A cluster recognition algorithm is developed to obtain properties of percolation models. The fractal nature of a percolating system is discussed, along with general features of fractals. Scaling laws and critical exponents, which are central features of modern approaches to complex systems, are also introduced and illustrated with percolating systems. The important concept of a correlation function is also used to characterize these systems. Finally, the insensitivity of large classes of model systems with respect to short range dynamics, known as universality, is discussed in the context of percolation. This is illustrated with the modern concepts of coarse graining and the renormalization group.

DYNAMIC ALIGNMENT AND EXACT SCALING LAWS IN MAGNETOHYDRODYNAMIC TURBULENCE

2009 ◽  
Vol 699 (1) ◽  
pp. L39-L42 ◽  
Author(s):  
Stanislav Boldyrev ◽  
Joanne Mason ◽  
Fausto Cattaneo
Keyword(s):  
Scaling Laws ◽  
Magnetohydrodynamic Turbulence ◽  
Dynamic Alignment ◽  
Exact Scaling

An Atomistically Enriched Continuum Model for Nanoscale Contact Mechanics and Its Application to Contact Scaling

2008 ◽  
Vol 8 (7) ◽  
pp. 3757-3773
Author(s):  
Roger A. Sauer ◽  
Shaofan Li
Keyword(s):  
Contact Mechanics ◽  
Scaling Laws ◽  
Coarse Graining ◽  
Contact Model ◽  
Geometrically Nonlinear ◽  
Lattice Statics ◽  
Mechanics Model ◽  
Contact Formulation ◽  
Wide Range ◽  
Length Scaling

This work provides a comprehensive exposition and extension of an atomistically enriched contact mechanics model initially proposed by the present authors. The contact model is based on the coarse-graining of the interaction occurring between the molecules of the contacting bodies. As these bodies may be highly compliant, a geometrically nonlinear kinematical description is chosen. Thus a large deformation continuum contact formulation is obtained which reflects the attractive and repulsive character of intermolecular interactions. Further emphasis is placed on the efficiency of the proposed atomistic-continuum contact model in numerical simulations. Therefore three contact formulations are discussed and validated by lattice statics computations. Demonstrated by a simple benchmark problem the scaling of the proposed contact model is investigated and some of the important scaling laws are obtained. In particular, the length scaling, or size effect, of the contact model is studied. Due to its formal generality and its numerical efficiency over a wide range of length scales, the proposed contact formulation can be applied to a variety of multiscale contact phenomena. This is illustrated by several numerical examples.

Exact Scaling Laws for Electrical Conductivity Properties of Nematic Polymer Nanocomposite Monodomains

2005 ◽  
Vol 15 (4) ◽  
pp. 627-638 ◽  
Author(s):  
X. Zheng ◽  
M. G. Forest ◽  
R. Lipton ◽  
R. Zhou ◽  
Q. Wang
Keyword(s):  
Electrical Conductivity ◽  
Scaling Laws ◽  
Polymer Nanocomposite ◽  
Nematic Polymer ◽  
Exact Scaling

Siphon Flows in Stratified Coronal Loops

1994 ◽  
Vol 144 ◽  
pp. 185-187
Author(s):  
S. Orlando ◽  
G. Peres ◽  
S. Serio
Keyword(s):  
Heat Flux ◽  
Scaling Laws ◽  
Flow Model ◽  
Supersonic Flows ◽  
Coronal Loops ◽  
Characteristic Parameters

AbstractWe have developed a detailed siphon flow model for coronal loops. We find scaling laws relating the characteristic parameters of the loop, explore systematically the space of solutions and show that supersonic flows are impossible for realistic values of heat flux at the base of the upflowing leg.

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