Simulation of lava flows with power-law rheology

Marilena Filippucci; Andrea Tallarico; Michele Dragoni

doi:10.3934/dcdss.2013.6.677

Article Contents

2013, Volume 6, Issue 3: 677-685. Doi: 10.3934/dcdss.2013.6.677

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Simulation of lava flows with power-law rheology

1.
Istituto Nazionale di Geofisica e Vulcanologia, Sez. di Catania, Piazza Roma 2, I-95152 Catania
2.
Dipartimento di Geologia e Geofisica, Università di Bari, Via Edoardo Orabona 4, I-70125 Bari
3.
Dipartimento di Fisica, Università di Bologna, Viale Carlo Berti Pichat 8, I-40127 Bologna

Received: February 28, 2010

Revised: October 31, 2010

Published: May 2013

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Abstract

In this work we studied the effect of a power-law rheology on a gravity driven lava flow. Assuming a viscous fluid with constant temperature and constant density and assuming a steady flow in an inclined rectangular channel, the equation of the motion is solved by the finite volume method and a classical iterative solutor. Comparisons with observed channeled lava flows indicate that the assumption of the power-law rheology causes relevant differences in average velocity and volume flow rate with respect to the Newtonian rheology.

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Mathematics Subject Classification: 76A05, 65M08, 35Q86.

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