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3D - Tangential Diffusion

Régis Dargent, Romulus Terebes, Olivier Lavialle, P. Baylou
2004 Zenodo  
Publication in the conference proceedings of EUSIPCO, Viena, Austria, 2004
doi:10.5281/zenodo.38356 fatcat:loraea64wvhplcz5kp5nh6vqhq

Diffusion of tangential tensor fields: numerical issues and influence of geometric properties [article]

Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt
2022 arXiv   pre-print
We study the diffusion of tangential tensor-valued data on curved surfaces.  ...  For this several finite element based numerical methods are collected and used to solve a tangential surface n-tensor heat flow problem.  ...  We denote by Ω a sufficiently small polygonal 3d neighborhood of the surface.  ... 
arXiv:2205.12581v1 fatcat:iq2jihlv5nffzf6h4rijo4rita

Inviscid limits for the 3D Navier-Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations [article]

Luigi C. Berselli, Stefano Spirito
2012 arXiv   pre-print
In this note we consider the inviscid limit for the 3D Boussinesq equations without diffusion, under slip boundary conditions of Navier's type.  ...  3D Euler equations.  ...  A recent vanishing viscosity result in the 3D for system (2) is the following one, (see Theorem 1 in [12] ). Theorem 1.1.  ... 
arXiv:1207.6882v1 fatcat:2moc3yaatrgkho5irwutowuyiy

Modeling cellular processes in 3D

Alex Mogilner, David Odde
2011 Trends in Cell Biology  
Another possibility is to test just one site, then 'jump' or travel by 3D diffusion to another site.  ...  Calculation of the elastic stress distribution in radial and tangential directions is required for modeling this process.  ... 
doi:10.1016/j.tcb.2011.09.007 pmid:22036197 pmcid:PMC3221767 fatcat:pw7pt7egwnaljb5tffqktld4zy

Three-dimensional (3d) Turbulence [chapter]

W.D. Smyth, J.N. Moum
2001 Encyclopedia of Ocean Sciences  
Solid boundaries also suppress motion in the tangential directions.  ...  However, the variance in this range is ultimately driven into the viscous-diffusive subrange, where it is Rnally dissipated by molecular diffusion.  ... 
doi:10.1006/rwos.2001.0134 fatcat:gd7vkuo2h5cojcimepkuxs43oa

Three-Dimensional (3D) Turbulence [chapter]

W.D. Smyth, J.N. Moum
2001 Encyclopedia of Ocean Sciences  
Solid boundaries also suppress motion in the tangential directions.  ...  However, the variance in this range is ultimately driven into the viscous-diffusive subrange, where it is Rnally dissipated by molecular diffusion.  ... 
doi:10.1016/b978-012374473-9.00134-x fatcat:nds3nptbcvfhbpe3nh6ikzjmme

Efficient 2D Simulation on Moving 3D Surfaces [article]

Dieter Morgenroth, Stefan Reinhardt, Daniel Weiskopf, Bernhard Eberhardt
2020 arXiv   pre-print
Next, we discuss how the tangential part ut = u − un will influence the inner dynamics.  ...  To model changes in the temperature field we use the convection-diffusion equation: DsT Dt = µ d ∇ 2 TpM T , (19) where we assume a constant diffusion coefficient µ d . Reaction-diffusion.  ... 
arXiv:2009.00408v1 fatcat:q6u2jeidfzcu7dvokmuuzehbky

Efficient 2D Simulation on Moving 3D Surfaces

D. Morgenroth, S. Reinhardt, D. Weiskopf, B. Eberhardt
2020 Computer graphics forum (Print)  
Next, we discuss how the tangential part ut = u − un will influence the inner dynamics.  ...  To model changes in the temperature field we use the convection-diffusion equation: DsT Dt = µ d ∇ 2 TpM T , (19) where we assume a constant diffusion coefficient µ d . Reaction-diffusion.  ... 
doi:10.1111/cgf.14098 fatcat:j7q4luabtndtld6jtwqrloieii

ITC: Infused Tangential Curves for Smooth 2D and 3D Navigation of Mobile Robots

Abhijeet Ravankar, Ankit Ravankar, Arpit Rawankar, Yohei Hoshino, Yukinori Kobayashi
2019 Sensors  
We mathematically discuss smooth trajectory generation for both 2D navigation of ground robots, and 3D navigation of aerial robots.  ...  We present 'ITC: Infused Tangential Curves' which can generate smooth trajectories for mobile robots.  ...  Figure 1 . 1 Diffusion in ITC (Infused Tangential Curves) based smoothing.  ... 
doi:10.3390/s19204384 fatcat:vtnwwc3bvfal5n2tyjj2rynaym

3D morphology design for forward osmosis

Meixia Shi, Galina Printsypar, Phuoc H.H. Duong, Victor M. Calo, Oleg Iliev, Suzana P. Nunes
2016 Journal of Membrane Science  
We use periodic boundary conditions in the direction tangential to the concentration gradient.  ...  The effective diffusivity was not available from experiments, but is important for the FO performance. Figure 8 summarizes each layer and presents their 3D digital prototype, respectively.  ... 
doi:10.1016/j.memsci.2016.05.061 fatcat:5cn5ufxoy5gfniskgcx6es5fxy

Applicability of Quasi-3D and 3D MOSFET Simulations in the 'Atomistic' Regime

S. Roy, A. Lee, A.R. Brown, A. Asenov
2003 Journal of Computational Electronics  
A quasi-3D analytic approach to the statistical analysis of these parameters in 100 × 100 nm, 70 × 70 nm and 35 × 35 nm devices has been compared to the more computationally expensive full 3D simulation  ...  The quasi-3D approach is useful in predicting variations in subthreshold slope, although its predictions become inaccurate for devices of approximately 35 × 35 nm or smaller.  ...  Figure 2 . 2 Potential distribution in 'atomistic' 100 × 100 nm MOS-FET, indicating potential variation parallel and tangential to the gate.  ... 
doi:10.1023/b:jcel.0000011464.17950.09 fatcat:4oz25mf6mzbf3dgdib2v4rha6a

3D mapping of young stars in the solar neighbourhood with Gaia DR2

E. Zari, H. Hashemi, A. G. A. Brown, K. Jardine, P. T. de Zeeuw
2018 Astronomy and Astrophysics  
We find that younger stars cluster in dense, compact clumps, and are surrounded by older sources, whose distribution is instead more diffuse.  ...  The latter appears instead more diffuse, almost connecting the three regions.  ...  D. 1 . 1 3D density map of sources with age 10 < τ < 20 Myr (right), 5 < τ < 10 Myr (centre), τ < 5 Myr (left). Fig. E. 1 . 1 Left: 3D density map of the sources in the top panel of Fig. 6.  ... 
doi:10.1051/0004-6361/201834150 fatcat:5n6qu4g7o5d3pjwcaba5glzuka

COMPARISON OF 3D OPPOSED JETS GEOMETRIES: 3D CFD STUDY

Ertugrul Erkoc, Ricardo Jorge Santos
2016 Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering  
Influence of geometry on the mixing mechanism and efficiency is studied by comparing Opposed Jets of Cylindrical and Prismatic shapes, having the same hydraulic chamber diameter by 3D Computational Fluid  ...  The jets width is the length that must be overcome by diffusion for mixing to occur at steady flow regimes.  ...  These data will be used to draw the dynamic features of the 3D flow fields.  ... 
doi:10.18038/btda.87035 fatcat:3yvvwdfelvgd7p3hzbu2gh2ul4

3D puppetry

Robert Held, Ankit Gupta, Brian Curless, Maneesh Agrawala
2012 Proceedings of the 25th annual ACM symposium on User interface software and technology - UIST '12  
Our system uses a combination of image-feature matching and 3D shape matching to identify and track the physical puppets. It then renders the corresponding 3D models into a virtual set.  ...  We present a system for producing 3D animations using physical objects (i.e., puppets) as input.  ...  Puppeteers can switch between day and night scenes by adjusting the strength of the ambient and diffuse components.  ... 
doi:10.1145/2380116.2380170 dblp:conf/uist/HeldGCA12 fatcat:ifxolj56cfcanfa4njpnbsse6e

A Level Set Method for Anisotropic Geometric Diffusion in 3D Image Processing

Martin Rumpf, Tobias Preusser
2002 SIAM Journal on Applied Mathematics  
A new morphological multiscale method in 3D image processing is presented which combines the image processing methodology based on nonlinear diffusion equations and the theory of geometric evolution problems  ...  Its aim is to smooth level sets of a 3D image while simultaneously preserving geometric features such as edges and corners on the level sets.  ...  We have presented a level set method for generalized geometric diffusion in 3D image processing.  ... 
doi:10.1137/s0036139901384662 fatcat:5n7sl6wplzddvahoaj3j3izn2e
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