Parallel adaptive discontinuous Galerkin approximation for thin layer avalanche modeling |
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| Affiliation: | 1. Department of Mechanical and Aerospace Engineering, University at Buffalo, The State University of New York, Buffalo, NY 14260, USA;2. Department of Geology, University at Buffalo, The State University of New York, Buffalo, NY 14260, USA;3. Department of Mathematics, University at Buffalo, The State University of New York, Buffalo, NY 14260, USA;1. Institute of Semiconductor Physics, SB RAS, Lavrentyev ave., 13, 630090, Novosibirsk, Russia;2. Mbu-Technology Ltd, Novosibirsk, Russia;3. Novosibirsk State University, Russia;1. ECsens, CITIC-UGR, Department of Electronics and Computer Technology, University of Granada, Granada 18071, Spain;2. ECsens, Department of Analytical Chemistry, University of Granada, 18071, Spain;1. Department of Electrical and Computer Engineering, Clemson University, Clemson, SC 29631, USA;2. MO-SCI Corporation, 4040 HyPoint North, Rolla, MO 65401, USA;3. Department of Chemistry, Missouri University of Science and Technology, Rolla, MO 65409, USA;1. CEA, DEN, DANS, DPC, Service de Corrosion et du Comportement des Matériaux dans leur Environnement, 91 191 Gif sur Yvette Cedex, France;2. Institut de Recherche de Chimie Paris, CNRS – Chimie ParisTech, 11 rue Pierre et Marie Curie, 75005 Paris, France;3. Université Pierre-et-Marie Curie, Electrochimie et Liquides Ioniques, CNRS/UPMC UMR 8234 – PHENIX, 4 Place Jussieu, 75252 Paris, France;1. Advanced Technology and New Materials Research Institute, City for Scientific Research and Technology Applications, New Borg El-Arab City, Alexandria, Egypt;2. Physics Department, Faculty of Science, Alexandria University, P.O.B. 21934 Alexandria, Egypt |
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| Abstract: | This paper describes the development of highly accurate adaptive discontinuous Galerkin schemes for the solution of the equations arising from a thin layer type model of debris flows. Such flows have wide applicability in the analysis of avalanches induced by many natural calamities, e.g. volcanoes, earthquakes, etc. These schemes are coupled with special parallel solution methodologies to produce a simulation tool capable of very high-order numerical accuracy. The methodology successfully replicates cold rock avalanches at Mount Rainier, Washington and hot volcanic particulate flows at Colima Volcano, Mexico. |
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