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Towards realistic simulations of lava dome growth using the level set method
Abstract The level set method has been implemented in a computational volcanology context. New techniques are presented to solve the advection equation and the reinitialisation equation. These techniques are based upon an algorithm developed in the finite difference context, but are modified to take advantage of the robustness of the finite element method. The resulting algorithm is tested on a well documented Rayleigh–Taylor instability benchmark [19], and on an axisymmetric problem where the analytical solution is known. Finally, the algorithm is applied to a basic study of lava dome growth.
Towards realistic simulations of lava dome growth using the level set method
Abstract The level set method has been implemented in a computational volcanology context. New techniques are presented to solve the advection equation and the reinitialisation equation. These techniques are based upon an algorithm developed in the finite difference context, but are modified to take advantage of the robustness of the finite element method. The resulting algorithm is tested on a well documented Rayleigh–Taylor instability benchmark [19], and on an axisymmetric problem where the analytical solution is known. Finally, the algorithm is applied to a basic study of lava dome growth.
Towards realistic simulations of lava dome growth using the level set method
Bourgouin, Laurent (author) / Mühlhaus, Hans-Bernd (author) / Hale, Alina Jane (author) / Arsac, Antonin (author)
Acta Geotechnica ; 1 ; 225-236
2006-11-18
12 pages
Article (Journal)
Electronic Resource
English
Computational volcanology , Finite elements , Lava dome growth , Level set method , Rayleigh–Taylor instability Engineering , Geoengineering, Foundations, Hydraulics , Continuum Mechanics and Mechanics of Materials , Geotechnical Engineering & Applied Earth Sciences , Soil Science & Conservation , Soft and Granular Matter, Complex Fluids and Microfluidics , Structural Mechanics
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