Computational approaches to studying non-linear dynamics of the crust and mantle

Physics of the Earth and Planetary Interiors

Volumn 163, Issue 1-4, 2007, Pages 69-82

  Moresi, L ^a   Quenette, S ^b   Lemiale, V ^a   Meriaux C ^a   Appelbe, B ^b   Muhlhaus H B ^c  

^a MONASH UNIVERSITY   (Australia)

^b Victorian Parnership for Advanced Computing VPAC   (Australia)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Finite element; Mantle convection; Multigrid; Object oriented methods; Parallel computing; Particle in cell; Plasticity; Viscoelasticity

Indexed keywords

FINITE ELEMENT METHOD; LITHOLOGY; OBJECT ORIENTED PROGRAMMING; PARALLEL PROCESSING SYSTEMS; PLASTICITY; RHEOLOGY; STRUCTURAL GEOLOGY; VISCOELASTICITY;

MANTLE CONVECTION; MULTIGRID; PARTICLE-IN-CELL;

TECTONICS;

CRUST-MANTLE BOUNDARY; EFFICIENCY MEASUREMENT; FINITE ELEMENT METHOD; GEODYNAMICS; MANTLE CONVECTION; NONLINEARITY; PARALLEL COMPUTING; RHEOLOGY; SOFTWARE; VISCOELASTICITY;

EID: 34547874986     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2007.06.009     Document Type: Article

References (64)

1. Appelbe, W.F., Moresi, L., Quenette, S., Sunter, P.D., 2006. Scientific software frameworks and grid computing: improving programming productivity. In: WoCo9: Grid-based Problem Solving Environments: Implications for Development and Deployment of Numerical Software.
2. Balay S., Gropp W.D., McInnes L.C., and Smith B.F. Efficient management of parallelism in object oriented numerical software libraries. In: Arge E., Bruaset A.M., and Langtangen H.P. (Eds). Modern Software Tools in Scientific Computing (1997), Birkhäuser Press 163-202
3. Batt G.E., and Braun J. On the thermomechanical evolution of compressional orogens. Geophys. J. Int. 128 2 (1997) 364-382
4. Bercovici D. A simple-model of plate generation from mantle flow. Geophys. J. Int. 114 (1993) 635-650
5. Bercovici D. A source-sink model of the generation of plate-tectonics from non-Newtonian mantle flow. J. Geophys. Res.: Solid Earth 100 (1995) 2013-2030
6. Boroomand B., and Zienkiewicz O.C. Recovery by equilibrium in patches (REP). Int. J. Numer. Meth. Eng. 40 (1997) 137-164
7. Brandt A. Multigrid techniques: 1984 guide, with applications to fluid dynamics. GMD-Studien, vol. 85 (1984), Gesellshaft fur Mathematik und Datenverarbeitung, Germany
8. Brandt A. Multi-level adaptive solutions to boundary value problems. Math. Comput. 31 (1977) 333-390
9. Braun J., and Sambridge M. Dynamical Lagrangian remeshing (DLR): a new algorithm for solving large strain deformation problems and its application to fault-propagation folding. Earth Planet. Sci. Lett. 124 (1994) 211-220
10. Buiter S.J.H., Babeyko A.Yu., Ellis S., Gerya T.V., Kaus B.J.P., Kellner A., Schreurs G., and Yamada Y. The numerical sandbox: comparison of model results for a shortening and an extension experiment. In: Buiter S.J.H., and Schreurs G. (Eds). Analogue and Numerical Modelling of Crustal-scale Processes (2006), Geological Society, London 29-64 volume special publication 253
11. Bunge H.P., Richards M.A., and Baumgardner J.R. A sensitivity study of three-dimensional spherical mantle convection at 10(8) Rayleigh number: effects of depth-dependent viscosity, heating mode, and an endothermic phase change. J. Geophys. Res.: Solid Earth 102 (1997) 11991-12007
12. Christensen U.R., and Yuen D.A. Layered convection induced by phase transitions. J. Geophys. Res. 90 (1985) 10291-10300
13. England P., and Molnar P. Active deformation of Asia from kinematics to dynamics. Science 278 (1997) 647-650
14. Frederiksen S., and Braun J. Numerical modelling of strain localisation during extension of the continental lithosphere. Earth Planet. Sci. Lett. 188 1-2 (2001) 241-251
15. Harlow, F.H. A machine calculation method for hydrodynamic problems. Technical report LAMS-1956. Los Alamos Scientific Laboratory, 1955.
16. Harry, D., Lavier, L., Willet, S. Report to CIG from the NSF workshop on tectonic modelling. Technical report. Computational Infrastructure for Geodynamics, 2005. http://www.geodynamics.org.
17. Huismans R., and Beaumont C. Symmetric and asymmetric lithospheric extension: relative effects of frictional-plastic and viscous strain softening. J. Geophys. Res. 108 (2003) 2496
18. Huismans R.S., Buiter S.J.H., and Beaumont C. The effect of plastic-viscous layering and strain-softening on mode selection during lithospheric extension. J. Geophys. Res. 110 (2005) B02406
19. Karato S., and Wu P. Rheology of the upper mantle-a synthesis. Science 260 (1993) 771-778
20. Kaus B.J.P., and Podladchikov Y.Y. Initiation of localized shear zones in viscoelastoplastic rocks. J. Geophys. Res.: Solid Earth 111 B4 (2006) B04412
21. Kerr R.C., and Mériaux C. Structure and dynamics of sheared mantle plumes. Geochem. Geophys. Geosyst. 5 (2004) Q12009
22. Lavier L.L., Buck W.R., and Poliakov A.N.B. Self-consistent rolling-hinge model for the evolution of large-offset low-angle normal faults. Geology 27 12 (1999) 1127-1130
23. Lenardic A., Moresi L., and Muhlhaus H. The role of mobile belts for the longevity of deep cratonic lithosphere: the crumple zone model. Geophys. Res. Lett. 27 (2000) 1235-1238
24. Lister J.R., and Kerr R.C. The effect of geometry on the gravitational instability of a buoyant region of viscous fluid. J. Fluid Mech. 202 (1989) 577-594
25. Lyakhovsky V., Ben-Zion Y., and Agnon A. Distributed damage, faulting, and friction. J. Geophys. Res.: Solid Earth 102 (1997) 27635-27649
26. Melosh H.J. Dynamic support of the outer rise. Geophys. Res. Lett. 5 (1978) 321-324
27. Mériaux, C., Kerr, R.C., Moresi, L., 2007. Gravitational instability of a horizontal buoyant and viscous cylinder fluid. J. Fluid. Mech., in preparation.
28. Montesi L., and Zuber M.T. Spacing of faults at the scale of the lithosphere and localization instability. 1. Theory. J. Geophys. Res. 109 (2000)
29. Moresi L., and Mühlhaus H.-B. Anisotropic viscous models of large-deformation Mohr-Coulomb failure. Philos. Mag. 86 (2006) 3287-3305
30. Moresi L., Zhong S.J., and Gurnis M. The accuracy of finite element solutions of stokes' flow with strongly varying viscosity. Phys. Earth Planet. Inter. 97 (1996) 83-94
31. Moresi L., Muhlhaus H.-B., and Dufour F. Viscoelastic formulation for modelling of plate tectonics. In: Muhlhaus H.-B., Dyskin A., and Pasternak E. (Eds). Bifurcation and Localization in Soils and Rocks (2001), Balkema, Rotterdam 337-344
32. Moresi L., Dufour F., and Muhlhaus H.B. Mantle convection modeling with viscoelastic/brittle lithosphere: Numerical methodology and plate tectonic modeling. Pure Appl. Geophys. 159 10 (2002) 2335-2356
33. Moresi L., Dufour F., and Muhlhaus H.B. A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials. J. Comput. Phys. 184 (2003) 476-497
34. Moresi L., Mühlhaus H.-B., Lemiale V., and May D. Incompressible viscous formulations for deformation and yielding of the lithosphere. In: Karner G.D., Manatschal G., and Pinheiro L. (Eds). Imaging, Mapping, and Modelling Extensional Processes and Systems (2007), The Geological Society 455-470 number 282 in special publications (Chapter 19)
35. Moresi L.N., and Solomatov V.S. Numerical investigation of 2d convection with extremely large viscosity variations. Phys. Fluids 7 (1995) 2154-2162
36. Muhlhaus H.-B., and Regenauer-Lieb K. Towards a self-consistent plate mantle model that includes elasticity: simple benchmarks and application to basic modes of convection. Geophys. J. Int. 163 2 (2005) 788-800
37. Muhlhaus H.B., Cada M., and Moresi L. Anisotropic convection model for the earth's mantle. Proceedings of the Computational Science-Iccs 2003, Pt Iii, vol. 2659 (2003) 788-797
38. Oxburgh E.R., and Turcotte D.L. Mechanisms of continental drift. Rep. Prog. Phys. 41 (1978) 1249-1312
39. Poliakov A.N.B., Cundall P., Podladchikov Yu., and Lyakhovsky V. An explicit inertial method for the simulation of viscoelastic flow: an evaluation of elastic effects on diapiric flow in two and three layer models. In: Stone D.B., and Runcorn S.K. (Eds). Flow and Creep in the Solar System: Observations, Modeling and Theory (1993), Kluwer, Holland 175-195
40. Post D.E., and Votta L.G. Computational science demands a new paradigm. Phys. Today (2005) 35
41. Quenette, S., 2007. St Germain. www.stgermainproject.org.
42. Quenette S., Moresi L., Sunter P.D., and Appelbe W.F. Explaining stgermain: an aspect oriented environment for building extensible computational mechanics modeling software. HIPS 2007 Workshop, Parallel and Distributed Processing Symposium, 2007. Proceedings of the 19th IEEE International (2007)
43. Regenauer-Lieb K., Hobbs B., and Ord A. On the thermodynamics of listric faults. Earth Planets Space 56 12 (2004) 1111-1120
44. Regenauer-Lieb K., Weinberg R.F., and Rosenbaum G. The effect of energy feedbacks on continental strength. Nature 442 7098 (2006) 67-70
45. Richards M.A., and Griffiths R.W. Thermal entrainment by deflected mantle plumes. Nature 342 (1989) 900-902
46. Richards M.A., Yang W.S., Baumgardner J.R., and Bunge H.P. Role of a low-viscosity zone in stabilizing plate tectonics: implications for comparative terrestrial planetology. Geochem. Geophys. Geosyst. 2 (2001) U1-U16
47. Schmalholz S.M., Podladchikov Y.Y., and Schmid D.W. A spectral/finite difference method for simulating large deformations of heterogeneous, viscoelastic materials. Geophys. J. Int. 145 (2001) 199-208
48. Skilbeck J.N., and Whitehead J.A. Formation of discrete islands in linear island chains. Nature 272 (1978) 499-501
49. Spiegelman, M., Montesi, L. Report to the CIG from the 2006 magma migration workshop. Technical report. Computational Infrastructure for Geodynamics, 2006. http://www.geodynamics.org.
50. Steinberger B., and O'Connell R.J. Advection of plumes in mantle flow: implications for hotspot motion, mantle viscosity and plume distribution. Geophys. J. Int. 132 (1998) 412-434
51. Sulsky D., and Brackbill J.U. A numerical method for suspension flow. J. Comput. Phys. 96 (1991) 339-368
52. Sulsky D., and Schreyer H. Antisymmetric form of the material point method with applications to upsetting and Taylor impact problems. Comput. Meth. Appl. Mech. Eng. 139 (1996) 409-429
53. Tanner R.I., and Jin H. A study of some numerical viscoelastic schemes. J. Non-Newton. Fluid Mech. 41 (1991) 171-196
54. Toth J., and Gurnis M. Dynamics of subduction initiation at pre-existing fault zones. J. Geophys. Res. 103 (1998) 18053-18067
55. van den Berg A.P., Yuen D.A., and Allwardt J.R. Non-linear effects from variable thermal conductivity and mantle internal heating: implications for massive melting and secular cooling of the mantle. Phys. Earth Planet. Inter. 129 3 (2002) 359-375
56. van Keken P.E., King S.D., Schmeling U.R., Christensen U.R., Neumeister D., and Doin M.-P. A comparison of methods for the modeling of thermochemical convection. J. Geophys. Res. 102 B10 (1997) 22477-22496
57. Vasilyev O.V., Podladchikov Y.Y., and Yuen D.A. Modeling of plume-lithosphere interaction using adaptive multilevel wavelet collocation algorithm. Geophys. J. Int. 147 (2001) 579-589
58. Weinstein S.A., and Olson P.L. Thermal convection with non-Newtonian plates. Geophys. J. Int. 111 3 (1992) 515-530
59. Zhong, S., Lenardic, A., Parmentier, E.M. Report to the CIG from the Boulder mantle convection workshop. Technical report. Computational Infrastructure for Geodynamics, 2005. http://www.geodynamics.org.
60. Zhong S.J., and Gurnis M. Towards a realistic simulation of plate margins in mantle convection. Geophys. Res. Lett. 22 (1995) 981-984
61. Zhong S.J., and Gurnis M. Controls on trench topography from dynamic-models of subducted slabs. J. Geophys. Res.: Solid Earth 99 (1994) 15683-15695
62. Zhong S.J., Zuber M.T., Moresi L., and Gurnis M. Role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection. J. Geophys. Res.: Solid Earth 105 (2000) 11063-11082
63. Zienkiewicz O.C., and Zhu J.Z. The superconvergent patch recovery and a posteriori error estimates. Part 2. Error estimates and adaptivity. Int. J. Numer. Meth. Eng. 33 (1992) 1365-1382
64. Zienkiewicz O.C., and Zhu J.Z. The superconvergent patch recovery and a posteriori error estimates. Part 1. The recovery technique. Int. J. Numer. Meth. Eng. 33 (1992) 1331-1364