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The two\u2010dimensional algorithm has been applied to model explosive volcanic eruptions in which an axisymmetric jet of hot dusty gas is injected into the atmosphere and the expected behavior is observed at two different vent velocities. The methodology described here, with extensions to three dimensions and adaptive mesh refinement, is being used for more detailed studies of volcanic jet processes.<\/jats:p>","DOI":"10.1137\/050635018","type":"journal-article","created":{"date-parts":[[2006,8,24]],"date-time":"2006-08-24T15:31:03Z","timestamp":1156433463000},"page":"1335-1360","source":"Crossref","is-referenced-by-count":57,"title":["High\u2010Resolution Finite Volume Methods for Dusty Gas Jets and Plumes"],"prefix":"10.1137","volume":"28","author":[{"given":"Marica","family":"Pelanti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Randall J.","family":"LeVeque","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,8,7]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2003.10.006"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/S106482750139738X"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2003.11.008"},{"key":"R4","first-page":"2173","volume":"24","author":"Bouchut F.","year":"1999","journal-title":"Comm. 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Leveque,\n                      Structure and dynamics of underexpanded volcanic jets: A comparative study using two numerical multiphase flow models\n                      , in preparation."},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(00)00093-6"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1142\/S021820250100088X"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1137\/0733001"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(75)90061-3"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(83)90136-5"},{"key":"R19","unstructured":"M. Ishii,\n                      Thermo\u2010fluid Dynamic Theory of Two\u2010phase Flow\n                      , Eyrolles, Paris, 1975."},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:2001130"},{"key":"R21","unstructured":"B. Khouider and A. J. Majda,\n                      A high resolution balanced scheme for an idealized tropical climate model\n                      , Theor. Comp. Fluid Dyn., to appear."},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1029\/JB089iB10p08253"},{"key":"R23","unstructured":"J. G. Knudsen and D. L. Katz,\n                      Fluid Mechanics and Heat Transfer\n                      , McGraw\u2010Hill, New York, 1958."},{"key":"R24","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2000.6606"},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141098341794"},{"key":"R26","unstructured":"R. J. LeVeque, clawpack software, available online from http:\/\/www.amath.washington.edu\/\u223cclaw."},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1996.5603"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6058"},{"key":"R29","unstructured":"R. J. 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Esposti Ongaro,\n                      Multiparticle Simulation of Collapsing Volcanic Columns and Pyroclastic Flows\n                      , VSG Report 2001\u20132, Volcano Simulation Group, Istituto Nazionale di Geofisica e Vulcanologia, Pisa, Italy, 2001."},{"key":"R35","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0273(01)00304-3"},{"key":"R36","doi-asserted-by":"publisher","DOI":"10.1029\/2001JB000508"},{"key":"R37","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0273(98)00102-4"},{"key":"R38","unstructured":"M. Pelanti,\n                      Wave Propagation Algorithms for Multicomponent Compressible Flows with Applications to Volcanic Jets\n                      , Ph.D. thesis, University of Washington, Seattle, 2005."},{"key":"R39","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(81)90128-5"},{"key":"R40","unstructured":"L. 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