Using the level set method to model endogenous lava dome growth

Hale, Alina Jane, Bourgouin, Laurent and Muhlhaus, Hans Bernd (2007) Using the level set method to model endogenous lava dome growth. Journal of Geophysical Research, 112 B3: B03213-1-B03213-16.

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Author Hale, Alina Jane
Bourgouin, Laurent
Muhlhaus, Hans Bernd
Title Using the level set method to model endogenous lava dome growth
Journal name Journal of Geophysical Research   Check publisher's open access policy
ISSN 0148-0227
Publication date 2007-03-31
Sub-type Article (original research)
DOI 10.1029/2006JB004445
Volume 112
Issue B3
Start page B03213-1
End page B03213-16
Total pages 16
Editor J. Mutter
P. Taylor
R. Arculus
Place of publication Washington
Publisher Amer Geophysical Union
Collection year 2008
Language eng
Subject 260103 Vulcanology
260200 Geophysics
Abstract Modeling volcanic phenomena is complicated by free-surfaces often supporting large rheological gradients. Analytical solutions and analogue models provide explanations for fundamental characteristics of lava flows. But more sophisticated models are needed, incorporating improved physics and rheology to capture realistic events. To advance our understanding of the flow dynamics of highly viscous lava in Peléean lava dome formation, axi-symmetrical Finite Element Method (FEM) models of generic endogenous dome growth have been developed. We use a novel technique, the level-set method, which tracks a moving interface, leaving the mesh unaltered. The model equations are formulated in an Eulerian framework. In this paper we test the quality of this technique in our numerical scheme by considering existing analytical and experimental models of lava dome growth which assume a constant Newtonian viscosity. We then compare our model against analytical solutions for real lava domes extruded on Soufrière, St. Vincent, W.I. in 1979 and Mount St. Helens, USA in October 1980 using an effective viscosity. The level-set method is found to be computationally light and robust enough to model the free-surface of a growing lava dome. Also, by modeling the extruded lava with a constant pressure head this naturally results in a drop in extrusion rate with increasing dome height, which can explain lava dome growth observables more appropriately than when using a fixed extrusion rate. From the modeling point of view, the level-set method will ultimately provide an opportunity to capture more of the physics while benefiting from the numerical robustness of regular grids.
Keyword Lava dome
Finite Element Method
Level-set
Q-Index Code C1
Additional Notes This is an author version of an article later published as Hale, A. J., L. Bourgouin, and H. B. Mühlhaus (2007), Using the level set method to model endogenous lava dome growth, J. Geophys. Res., 112, B03213, doi:10.1029/2006JB004445. Copyright 2007 by the American Geophysical Union. All rights reserved.

 
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Created: Mon, 30 Jul 2007, 12:26:42 EST by Alina Jane Hale on behalf of Earth Systems Science Computational Centre