scholarly journals A fully Lagrangian meshfree framework for PDEs on evolving surfaces

2019 ◽  
Vol 395 ◽  
pp. 38-59 ◽  
Author(s):  
Pratik Suchde ◽  
Jörg Kuhnert
Keyword(s):  
Evolving Surfaces

Numerical evidence of persisting surface roughness when deposition stops

2022 ◽  
Vol 2022 (1) ◽  
pp. 013202
Author(s):  
Chuan Wang ◽  
Hui Xia
Keyword(s):  
Stochastic Models ◽  
Sand Dune ◽  
Angle Of Repose ◽  
Scaling Properties ◽  
Interesting Issue ◽  
Material Deposition ◽  
Evolving Surface ◽  
Qualitative Exploration ◽  
Flattening Process ◽  
Evolving Surfaces

Abstract Do evolving surfaces become flat or not with time evolving when material deposition stops? As one qualitative exploration of this interesting issue, modified stochastic models for persisting roughness have been proposed by Schwartz and Edwards (2004 Phys. Rev. E 70 061602). In this work, we perform numerical simulations on the modified versions of Edwards–Wilkinson (EW) and Kardar–Parisi–Zhang (KPZ) systems when the angle of repose is introduced. Our results show that the evolving surface always presents persisting roughness during the flattening process, and sand dune-like morphology could gradually appear, even when the angle of repose is very small. Nontrivial scaling properties and differences of evolving surfaces between the modified EW and KPZ systems are also discussed.

Parabolic curves of evolving surfaces

1996 ◽  
Vol 17 (3) ◽  
pp. 291-306 ◽  
Author(s):  
J. W. Bruce ◽  
P. J. Giblin ◽  
F. Tari
Keyword(s):  
Evolving Surfaces

scholarly journals Octree-based, GPU implementation of a continuous cellular automaton for the simulation of complex, evolving surfaces

2011 ◽  
Vol 182 (3) ◽  
pp. 628-640 ◽  
Author(s):  
N. Ferrando ◽  
M.A. Gosálvez ◽  
J. Cerdá ◽  
R. Gadea ◽  
K. Sato
Keyword(s):  
Cellular Automaton ◽  
Gpu Implementation ◽  
Evolving Surfaces
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