A well-balanced lattice Boltzmann model for the depth-averaged advection–diffusion equation with variable water depth

2021 ◽  
Vol 379 ◽  
pp. 113745
Author(s):  
Zhiming Ru ◽  
Haifei Liu ◽  
Liming Xing ◽  
Yu Ding
Keyword(s):  
Diffusion Equation ◽  
Water Depth ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Boltzmann Model ◽  
Variable Water

scholarly journals Comparison of Two Advection-Diffusion Methods for Tephra Transport in Volcanic Eruptions

2011 ◽  
Vol 9 (5) ◽  
pp. 1323-1334 ◽  
Author(s):  
Kae Tsunematsu ◽  
Bastien Chopard ◽  
Jean-Luc Falcone ◽  
Costanza Bonadonna
Keyword(s):  
Cellular Automata ◽  
Lattice Boltzmann ◽  
Volcanic Eruptions ◽  
Lattice Boltzmann Model ◽  
Cellular Automata Model ◽  
Sedimentation Process ◽  
Advection Diffusion ◽  
Boltzmann Model ◽  
Spatial Area

AbstractIn order to model the dispersal of volcanic particles in the atmosphere and their deposition on the ground, one has to simulate an advection-diffusion-sedimentation process on a large spatial area. Here we compare a Lattice Boltzmann and a Cellular Automata approach. Our results show that for high Peclet regimes, the cellular automata model produce results that are as accurate as the lattice Boltzmann model and is computationally more effective.

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