Commun. Comput. Phys., 9 (2011), pp. 1323-1334.


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

Kae Tsunematsu 1, Bastien Chopard 2*, Jean-Luc Falcone 2, Costanza Bonadonna 1

1 Department of Mineralogy, University of Geneva, 13 Rue des Maraichers, 1205 Geneve, Switzerland.
2 Department of Computer Science, University of Geneva, 7 Route de Drize, 1227 Carouge, Switzerland.

Received 31 October 2009; Accepted (in revised version) 19 November 2010
Available online 18 February 2011
doi:10.4208/cicp.311009.191110s

Abstract

In 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.

AMS subject classifications: 37B15
PACS: 02.60.-x
Key words: Cellular automata, lattice Boltzmann, tephra transport, advection-diffusion, computational efficiency.

*Corresponding author.
Email: Kae.Tsunematsu@unige.ch (K. Tsunematsu), Bastien.Chopard@unige.ch (B. Chopard), Jean-Luc.Falcone@unige.ch (J. Falcone), Costanza.Bonadonna@unige.ch (C. Bonadonna)
 

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