Adaptive finite element methods in geodynamics: Convection dominated mid-ocean ridge and subduction zone simulations

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 18, Issue 7-8, 2008, Pages 1015-1035

  Davies, D R ^a,b   Davies, J H ^a   Hassan, O ^b   Morgan, K ^b   Nithiarasu, P ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Finite element analysis; Flow; Meshes; Oceanography; Simulation

Indexed keywords

EARTH SCIENCES; FLOW SIMULATION; GEOPHYSICS; MESH GENERATION; OCEANOGRAPHY;

ADAPTIVE FINITE ELEMENT METHODS; ADAPTIVE FINITE ELEMENTS; FINITE ELEMENT ANALYSIS; FINITE ELEMENTS; FLOW; FLOW FEATURES; FLOW SOLVERS; GRID ADAPTATIONS; HIGHLY EFFICIENT; LOCAL ERRORS; MESH ADAPTATIONS; MESH REGENERATIONS; MESHES; SIMULATION; SOLUTION ACCURACIES; SUBDUCTION ZONES; UNSTRUCTURED MESHES;

FINITE ELEMENT METHOD;

EID: 57149128587     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615530810899079     Document Type: Article

References (30)

1. Albers, M., Christensen, U.R. Channeling of plume flow beneath mid-ocean ridges Earth and Planetary Science Letters 187 2001 207-20
2. Andrews, D.J., Sleep, N. Numerical modelling of tectonic flow behind island arcs Geophysical Journal of the Royal Astronomical Society 38 1974 237-51
3. Babuska, I., Rheinbolt, W.C. A posteriori error estimates for the finite element method International Journal for Numerical Methods in Engineering 12 1978 1597-615
4. Buck, W.R., Lavier, L.L., Poliakov, A.N.B. Modes of faulting at mid-ocean ridges Nature 434 2005 719-23
5. Carlsaw, H.S., Jaeger, J.C. Conduction of Heat in Solids Oxford University Press New York, NY 1959 2nd ed.
6. Christensen, U.R. Geodynamic models of deep subduction Physics of the Earth and Planetary Interiors 127 2001 25-34
7. Davies, D.R., Davies, J.H., Hassan, O., Morgan, K., Nithiarasu, P. Investigations into the applicability of adaptive finite element methods to infinite Prandtl number thermal and thermochemical convection Geochemistry, Geophysics and Geosystems 8 2007 Q05010
8. Davies, G.F., Richards, M.A. Mantle convection Journal of Geology 100 1992 151-206
9. Davies, J.H., Stevenson, D.J. Physical model of source region of subduction zone volcanics Journal of Geophysical Research 97 1992 2037-70
10. Demkowicz, L., Oden, J.T., Strouboulis, T. Adaptive finite-elements for flow problems with moving boundaries - variational principles and a posteriori estimates Computer Methods in Applied Mechanics and Engineering 46 1984 217-51
11. George, A.J. Computer implementation of the finite element method Stanford University Stanford, CA 1971 PhD thesis, STAN-CS-71-208
12. Hassan, O., Probert, E.J., Morgan, K., Peraire, J. Mesh generation and adaptivity for the solution of compressible viscous high speed flows International Journal for Numerical Methods in Engineering 38 1995 1123-48
13. Hughes, T.J.R., Brooks, A. A multi-dimensional upwind scheme with no crosswind diffusion Finite Element Methods for Convection Dominated Flows 34 ASME New York, NY 1979 19-35
14. Iwamori, H. Transportation of H2O and melting in subduction zones Earth and Planetary Science Letters 160 1998 65-80
15. Kincaid, C., Sacks, I.S. Thermal and dynamical evolution of the upper mantle in subduction zones Journal of Geophysical Research 102 1997 12295-315
16. King, S.D., Raefsky, A., Hager, B.H. CONMAN: vectorizing a finite element code for incompressible two-dimensional convection in the Earth's mantle Physics of the Earth and Planetary Interiors 59 1990 195-207
17. Kuhn, D., Dahm, T. Simulation of magma ascent by dykes in the mantle beneath mid-ocean ridges Journal of Geodynamics 38 2004 147-59
18. Lo, S.H. A new mesh generation scheme for arbitrary planar domains International Journal for Numerical Methods in Engineering 21 1985 1403-26
19. Lohner, R. Mesh adaptation in fluid mechanics Engineering Fracture Mechanics 50 1995 819-47
20. Lohner, R., Morgan, K., Zienkiewicz, O.C. An adaptive finite-element method for high-speed compressible flow Lecture Notes in Physics 218 1985 388-92
21. McKenzie, D.P. Speculations on the consequences and causes of plate motions Geophysical Journal of the Royal Astronomical Society 18 1969 1-32
22. Mayne, D.A., Usmani, A.S., Crapper, M. h-adaptive finite element solution of high Rayleigh number thermally driven cavity problem International Journal of Numerical Methods for Heat and Fluid Flow 10 2000 598-615
23. Nithiarasu, P. An adaptive finite element procedure for solidification problems Heat and Mass Transfer 36 2000 223-9
24. Nithiarasu, P., Zienkiewicz, O.C. Adaptive mesh generation for fluid mechanics problems International Journal for Numerical Methods in Engineering 47 2000 629-62
25. Peacock, S.M. Thermal and petrologic structure of subduction zones Subduction Top to Bottom, AGU Monograph 96 1996 119-33
26. Pelletier, D., Ilinca, F. Adaptive finite element method for mixed convection Journal of Thermophysics and Heat Transfer 9 1995 708-14
27. Peraire, J., Vahdati, M., Morgan, K., Zienkiewicz, O.C. Adaptive remeshing for compressible flow computations Journal of Computational Physics 72 1987 449-66
28. Turcotte, D.L., Schubert, G. Application of Continuum Physics to Geological Problems Wiley New York, NY 1982
29. Turcotte, D.L., Schubert, G. Geodynamics Cambridge University Press Cambridge 2002 2nd ed.
30. Zienkiewicz, O.C., Taylor, R.L., Nithiarasu, P. The Finite Element Method for Fluid Dynamics Butterworth-Heinemann Oxford 2006 6th ed.