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

Published online by Cambridge University Press:  20 August 2015

Kae Tsunematsu ,
Bastien Chopard ,
Jean-Luc Falcone  and
Costanza Bonadonna
Kae Tsunematsu*
Affiliation:
Department of Mineralogy, University of Geneva, 13 Rue des Maraichers, 1205 Geneve, Switzerland
Bastien Chopard*
Affiliation:
Department of Computer Science, University of Geneva, 7 Route de Drize, 1227 Carouge, Switzerland
Jean-Luc Falcone*
Affiliation:
Department of Computer Science, University of Geneva, 7 Route de Drize, 1227 Carouge, Switzerland
Costanza Bonadonna*
Affiliation:
Department of Mineralogy, University of Geneva, 13 Rue des Maraichers, 1205 Geneve, Switzerland
*
Email:[email protected]
Corresponding author.Email:[email protected]
Email:[email protected]
Email:[email protected]
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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.

Keywords

37B1502.60.-xCellular automatalattice Boltzmanntephra transportadvection-diffusioncomputational efficiency
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1323 - 1334
Copyright
Copyright © Global Science Press Limited 2011

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References

[1]Bonadonna, C., and Phillips, J. C., Sedimentation from strong volcanic plumes, J. Geophys. Res., 108(B7) (2003), 2340–2368.Google Scholar
[2]Carey, S., and Sparks, R. S. J., Quantitative models of the fallout and dispersal of tephra from volcanic eruption columns, Bull. Volcanol., 48 (1986), 109–125.Google Scholar
[3]Carey, S. N., and Sigurdson, H., Influence of particle aggregation on deposition of distal tephra from the May 18, 1980, eruption of mount st helens volcano, Geophys, J.. Res., 87(B8) (1982), 7061–7072.Google Scholar
[4]Chopard, B., Falcone, J. L., and Latt, J., The lattice Boltzmann advection-diffusion model revisited, Europhys. J., 171 (2009), 245–249.Google Scholar
[5]Costa, A., Macedonio, G., and Folch, A., A three-dimensional eulerian model for transport and deposition of volcanic ashes, Earth. Planet. Sc. Lett., 241 (2006), 634–647.Google Scholar
[6]Dupuis, A., and Chopard, B., Lattice gas modeling of scour formation under submarine pipelines, J. Comput. Phys., 178 (2002), 161–174.Google Scholar
[7]Ginzburg, I., Equilibrium-type and link-type lattice Boltzmann models for generic advection and anisotropic-dispersion equation, Adv. Water. Res. Pages., 28(11) (2005), 1171–1195.Google Scholar
[8]Guo, Z. L, Shi, B. C., and Wang, N. C., Fully lagrangian and lattice Boltzmann methods for the advection-diffusion equation, Sci, J.. Comput., 14(3) (1999), 291–300.Google Scholar
[9]Masselot, A., and Chopard, B., A lattice Boltzmann model for particle transport and deposition, Europhys. Lett., 42 (1998), 259–264.CrossRefGoogle Scholar
[10]Sparks, R. S. J., Wilson, L., and Sigurdsson, H., The pyroclastic deposites of the 1875 eruption of askja, Iceland, Philos. Trans. R. Soc. London., 299 (1981), 241–273.Google Scholar
[11]Suga, S., Numerical schemes obtained from lattice Boltzmann equations for advection diffusion equations, Int. J. Mod. Phys. C., 17(11) (2006), 1563–1577.Google Scholar
[12]Tsunematsu, K., Falcone, J. L., Bonadonna, C., and Chopard, B., Applying a cellular automata method for the study of transport and deposition of volcanic particles, ACRI 2008 proceedings, LNCS 5191, pages 393–400, 2008.Google Scholar