Numerical study of self-avoiding walks on lattices and in the continuum

1991 ◽  
Vol 24 (7) ◽  
pp. 1615-1621 ◽  
Author(s):  
A. J. Barrett ◽  
Marc Mansfield ◽  
Brad C. Benesch
Keyword(s):  
Numerical Study ◽  
Self Avoiding Walks ◽  
The Continuum

Flow Dynamics of Vibrated Dense Granular Materials in the Presence of Ambient Gas

Volume 2 ◽  
2004 ◽  
Author(s):  
Azita Soleymani ◽  
Piroz Zamankhan ◽  
Hassan Yousefi ◽  
William Polashenski ◽  
Vesa Tanskanen
Keyword(s):  
Granular Materials ◽  
Numerical Study ◽  
Vertical Direction ◽  
Critical Value ◽  
Flow Dynamics ◽  
Particle Phase ◽  
Narrow Gap ◽  
Sinusoidal Oscillation ◽  
Interfacial Drag ◽  
The Continuum

Results are presented from a numerical study examining the flow dynamics of condensed granular materials in the presence of an interstitial gas in a narrow gap between two concentric cylindrical buckets subjected to sinusoidal oscillation in the vertical direction of the form z = Asin(ωt), where the parameter Γ = Aω2/g exceeds a critical value, Γc, above which the system becomes fluidized. Using a recently developed expression for the stress tensor of particle phase, a set of conservation equations were derived for the particle and fluid phases interacting via an interfacial drag force. Numerical integration of the continuum equations for the granular material in buckets revealed that above Γc, granular materials may exhibit liquid-like behavior and convection can occur creating a heap similar to that previously observed experimentally.

scholarly journals A numerical study of the correspondence between paths in a causal set and geodesics in the continuum

2006 ◽  
Vol 23 (10) ◽  
pp. 3275-3285 ◽  
Author(s):  
Raluca Ilie ◽  
Gregory B Thompson ◽  
David D Reid
Keyword(s):  
Numerical Study ◽  
The Continuum

On the Domb-Joyce model for self-avoiding walks in the continuum

1990 ◽  
Vol 58 (3-4) ◽  
pp. 617-626 ◽  
Author(s):  
A. J. Barrett
Keyword(s):  
Self Avoiding Walks ◽  
The Continuum

Theoretical and numerical study of fractal dimensionality in self-avoiding walks

1982 ◽  
Vol 26 (3) ◽  
pp. 1728-1734 ◽  
Author(s):  
S. Havlin ◽  
D. Ben-Avraham
Keyword(s):  
Numerical Study ◽  
Fractal Dimensionality ◽  
Self Avoiding Walks

scholarly journals Atmospheric collapse in self-avoiding walks: a numerical study using GARM

2009 ◽  
Vol 2009 (12) ◽  
pp. P12005 ◽  
Author(s):  
J Alvarez ◽  
M Gara ◽  
E J Janse van Rensburg ◽  
A Rechnitzer
Keyword(s):  
Numerical Study ◽  
Self Avoiding Walks

scholarly journals Jumps and coalescence in the continuum: A numerical study

2021 ◽  
Vol 390 ◽  
pp. 125610
Author(s):  
Yuri Kozitsky ◽  
Igor Omelyan ◽  
Krzysztof Pilorz
Keyword(s):  
Numerical Study ◽  
The Continuum

scholarly journals Experimental study and numerical modeling of the thermo-hydro-mechanical processes in soil freezing with different frost penetration directions

2021 ◽  
Author(s):  
A. H. Sweidan ◽  
K. Niggemann ◽  
Y. Heider ◽  
M. Ziegler ◽  
B. Markert
Keyword(s):  
Numerical Modeling ◽  
Numerical Study ◽  
Research Work ◽  
Transient State ◽  
Small Strain ◽  
Soil Freezing ◽  
Special Focus ◽  
Thermal Transient ◽  
Lens Formation ◽  
The Continuum

AbstractThis research work presents an experimental and numerical study of the coupled thermo-hydro-mechanical (THM) processes that occur during soil freezing. With focusing on the artificial ground freezing (AGF) technology, a new testing device is built, which considers a variety of AGF-related boundary conditions and different freezing directions. In the conducted experiments, a distinction is made between two thermal states: (1) The thermal transient state, which is associated with ice penetration, small deformations, and insignificant water suction. (2) The thermal (quasi-) steady state, which has a much longer duration and is associated with significant ice lens formation due to water suction. In the numerical modeling, a special focus is laid on the processes that occur during the thermal transient state. Besides, a demonstration of the micro-cryo-suction mechanism and its realization in the continuum model through a phenomenological retention-curve-like formulation is presented. This allows modeling the ice lens formation and the stiffness degradation observed in the experiments. Assuming a fully saturated soil as a biphasic porous material, a phase-change THM approach is applied in the numerical modeling. The governing equations are based on the continuum mechanical theory of porous media (TPM) extended by the phase-field modeling (PFM) approach. The model proceeds from a small-strain assumption, whereas the pore fluid can be found in liquid water or solid ice state with a unified kinematics treatment of both states. Comparisons with the experimental data demonstrate the ability and usefulness of the considered model in describing the freezing of saturated soils.

A Numerical Study of Shock and Heating With Rarefaction for Hypersonic Flow Over a Cylinder

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Ashwani Assam ◽  
M. R. Nived ◽  
Nikhil Narayan Kalkote ◽  
Vinayak Eswaran
Keyword(s):  
Heat Flux ◽  
Numerical Study ◽  
Hypersonic Flows ◽  
Flow Properties ◽  
Aerospace Vehicles ◽  
Heating Value ◽  
Carbuncle Phenomenon ◽  
Blunt Bodies ◽  
Convective Scheme ◽  
The Continuum

Abstract The numerical computation of hypersonic flows over blunt bodies is challenging due to the difficulty in robust and accurate wall heat flux prediction and proper capturing of shock waves free from the “carbuncle” phenomenon and other shock anomalies. It is important to understand how this behavior is affected due to rarefaction, which in turn will help to improve the study of aerospace vehicles flowing in rarefied and hypersonic regime. Recently, the SLAU2 convective scheme was shown to suppress the shock anomalies found in capturing strong shocks, however, it still showed a wavy pattern of heating. We have proposed a modification to the SLAU2 convective scheme to improve the accuracy of flow predictions in the presence of strong shocks. We then perform the numerical simulation of hypersonic viscous flow over a cylinder at Mach 8 and 16.34 at different Knudsen numbers. We carry out the study using the modified SLAU2 and the classical Roe schemes. We study how the shock anomalies found in the continuum hypersonic flows behave with the degree of rarefaction. It is found that the modified SLAU2 captures the shock free from the shock anomalies at all Kn, while the Roe scheme lacks robustness for Kn≲10−3. The variation of different flow properties such as heat flux, wall shear stress, and the Mach number is investigated. The peak heating value was observed to decrease with the degree of rarefaction.

Numerical study of the effect of natural fractures on shale hydraulic fracturing based on the continuum approach

2020 ◽  
Vol 189 ◽  
pp. 107038 ◽  
Author(s):  
Peng Zhao ◽  
Lingzhi Xie ◽  
Qi Ge ◽  
Yao Zhang ◽  
Jun Liu ◽  
...  
Keyword(s):  
Hydraulic Fracturing ◽  
Numerical Study ◽  
Natural Fractures ◽  
Continuum Approach ◽  
The Continuum
Sign in / Sign up

Export Citation Format

Share Document