Algorithms of three-dimensional concrete ablation front tracking (CAFT) and crust growth

2021 ◽  
Vol 158 ◽  
pp. 108297
Author(s):  
Akinobu Morita ◽  
Akitoshi Hotta ◽  
Noboru Yamazaki
2018 ◽  
Vol 172 ◽  
pp. 181-195 ◽  
Author(s):  
Xinglong Shang ◽  
Zhengyuan Luo ◽  
Elizaveta Ya. Gatapova ◽  
Oleg A. Kabov ◽  
Bofeng Bai

1997 ◽  
Vol 490 ◽  
Author(s):  
T. S. Cale ◽  
T. P. Merchant ◽  
L. J. Borucki

ABSTRACTAfter discussing topography simulation, we summarize two approaches used to move surfaces in topography simulators used in virtual semiconductor wafer fabs; “front tracking” and “level set”. Front tracking is presented for two dimensional (2d) surfaces, and a number of examples are shown to demonstrate the approach. The level set approach is presented for three dimensional (3d) surfaces, and examples are shown. Though either approach could be used in both 2d and 3d topography simulators, this is by and large the current usage. Transport and reaction submodels needed for physically based process simulations will continue to be developed using experiments performed on structures that are inherently 2d, combined with three dimensional 3d transport simulations; i.e., “3d/2d” simulations. Three dimensional device structures will be generated using “3d/3d” topography simulations, using robust codes. Plasma enhanced deposition of silicon dioxide from TEOS is used as an example of how 3d/2d and 3d/3d simulations are used.


2013 ◽  
Vol 721 ◽  
Author(s):  
Yoshiyuki Tagawa ◽  
Ivo Roghair ◽  
Vivek N. Prakash ◽  
Martin van Sint Annaland ◽  
Hans Kuipers ◽  
...  

AbstractWe investigate the clustering morphology of a swarm of freely rising deformable bubbles. A three-dimensional Voronoï analysis enables us to distinguish quantitatively between two typical preferential clustering configurations: a regular lattice arrangement and irregular clustering. The bubble data are obtained from direct numerical simulations using the front-tracking method. It is found that the bubble deformation, represented by the aspect ratio $\chi $, plays a significant role in determining which type of clustering is realized: nearly spherical bubbles form a regular lattice arrangement, while more deformed bubbles show irregular clustering. Remarkably, this criterion for the clustering morphology holds for different diameters of the bubbles, surface tensions and viscosities of the liquid in the studied parameter regime. The mechanism of this clustering behaviour is most likely connected to the amount of vorticity generated at the bubble surfaces.


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