Two-dimensional simulations of magma ascent in volcanic conduits

International Journal for Numerical Methods in Fluids

Volumn 29, Issue 7, 1999, Pages 765-789

  Ramos, J I ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Bingham model; Magma; Solidification; Two phase flows; Visco plastic fluids; Volcanoes

Indexed keywords

CONFINED FLOW; CONTINUUM MECHANICS; HEAT FLUX; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NEWTONIAN FLOW; RHEOLOGY; SOLIDIFICATION; TWO PHASE FLOW; VISCOPLASTICITY; VOLCANIC ROCKS;

BINGHAM MODEL; DYKE GEOMETRY; MAGMA; MAGMA ASCENT; TWO DIMENSIONAL SIMULATIONS; VISCOPLASTIC FLUIDS; VOLCANIC CONDUITS;

COMPUTER SIMULATION;

BINGHAM FLUID; MODELING; SOLIDIFICATION; TWO-PHASE FLOW; VOLCANO;

MAGMA; SOLIDIFICATION; TWO PHASE FLOW; VOLCANISM;

EID: 0033560541     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19990415)29:7<765::AID-FLD816>3.0.CO;2-B     Document Type: Article

References (15)

1. J.R. Lister, 'The solidification of buoyancy driven flow in a flexible-walled channel. Part 1. Constant-volume release', J. Fluid Mech., 272, 21-44 (1994).
2. J.R. Lister, 'The solidification of buoyancy driven flow in a flexible walled channel. Part 2. Continual release', J. Fluid Mech., 272, 45-65 (1994).
3. P.M. Bruce and H.E. Huppert, 'Thermal control of basaltic fissure eruptions', Nature, 16, 665-667 (1989).
4. D.A. Spence and D.L. Turcotte, 'Magma-driven propagation of cracks', J. Geophys. Res., 90, 575-580 (1985).
5. J.R. Lister and P.L. Dellar, 'Solidification of pressure-driven flow in a finite rigid channel with applications to volcanic eruptions', J. Fluid Mech., 323, 267-283 (1996).
6. J.J. Wylie and J.R. Lister, 'The effects of temperature-dependent viscosity on flow in a cooled channel with application to basaltic fissure eruptions', J. Fluid Mech., 305, 239-261 (1995).
7. K.R. Helfrich, 'Thermo-viscous fingering of flow in a thin gap: A model of magma flow in dikes and fissures', J. Fluid Mech., 305, 219-238 (1995).
8. J.I. Ramos and F. Dobran, 'Magma ascent model development', in: F. Dobran (ed.), Magma and Lava Flow Modeling and Volcanic System Definition Aimed at Hazard Assessment at Etna, Giardini, Pisa, Italy, 1994, pp. 71-108.
9. W.D. Bennon and P.P. Incropera, 'Numerical analysis of binary solid-liquid phase change using a continuum model', Numer. Heat Transf., 13, 277-296 (1988).
10. C.M. Oldenburg and F.J. Spera, 'Hybrid model for solidification and convection', Numer. Heat Transf. B, 21, 217-229 (1992).
11. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.
12. C. Prakash and V. Voller, 'On the numerical solution of continuum mixture model equations describing binary solid-liquid phase change', Numer. Heat Transf. B, 15, 171-189 (1989).
13. C.R. Carrigan, G. Schubert and J.C. Eichelberger, 'Thermal and dynamical regimes of single- and two-phase magmatic flow in dykes', J. Geophys. Res., 97, 17377-17392 (1992).
14. H. Pinkerton and R.J. Stevenson, 'Methods of determining the rheological properties of magmas at subliquidus temperatures', J. Volcanol. Geotherm. Res., 53, 47-66 (1992).
15. I.A. Frigaard, S.D. Howison and I.J. Sobey, 'On the stability of Poiseuille flow of a Bingham fluid', J. Fluid Mech., 263, 133-150 (1994).