dorsal/arxiv
View SchemaNumerical simulation of lava flows based on depth-averaged equations
| Authors | Antonio Costa, Giovanni Macedonio |
|---|---|
| Categories | |
| ArXiv ID | physics/0504049 |
| URL | https://arxiv.org/abs/physics/0504049 |
| DOI | 10.1029/2004GL02187 |
| Journal | Geophysical Research Letters, Vol. 32, L05304, 2005 |
Abstract
Risks and damages associated with lava flows propagation (for instance the most recent Etna eruptions) require a quantitative description of this phenomenon and a reliable forecasting of lava flow paths. Due to the high complexity of these processes, numerical solution of the complete conservation equations for real lava flows is often practically impossible. To overcome the computational difficulties, simplified models are usually adopted, including 1-D models and cellular automata. In this work we propose a simplified 2D model based on the conservation equations for lava thickness and depth-averaged velocities and temperature which result in first order partial differential equations. The proposed approach represents a good compromise between the full 3-D description and the need to decrease the computational time. The method was satisfactorily applied to reproduce some analytical solutions and to simulate a real lava flow event occurred during the 1991-93 Etna eruption.
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"abstract": "Risks and damages associated with lava flows propagation (for instance the\nmost recent Etna eruptions) require a quantitative description of this\nphenomenon and a reliable forecasting of lava flow paths. Due to the high\ncomplexity of these processes, numerical solution of the complete conservation\nequations for real lava flows is often practically impossible. To overcome the\ncomputational difficulties, simplified models are usually adopted, including\n1-D models and cellular automata. In this work we propose a simplified 2D model\nbased on the conservation equations for lava thickness and depth-averaged\nvelocities and temperature which result in first order partial differential\nequations. The proposed approach represents a good compromise between the full\n3-D description and the need to decrease the computational time. The method was\nsatisfactorily applied to reproduce some analytical solutions and to simulate a\nreal lava flow event occurred during the 1991-93 Etna eruption.",
"arxiv_id": "physics/0504049",
"authors": [
"Antonio Costa",
"Giovanni Macedonio"
],
"categories": [
"physics.geo-ph"
],
"doi": "10.1029/2004GL02187",
"journal_ref": "Geophysical Research Letters, Vol. 32, L05304, 2005",
"title": "Numerical simulation of lava flows based on depth-averaged equations",
"url": "https://arxiv.org/abs/physics/0504049"
},
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