Pecube: A new finite-element code to solve the 3D heat transport equation including the effects of a time-varying, finite amplitude surface topography

Computers and Geosciences

Volumn 29, Issue 6, 2003, Pages 787-794

  Braun, Jean ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Heat transfer equation; Low T geochronology; Numerical modelling; Relief evolution; Time varying surface topography

Indexed keywords

EARTH (PLANET); EROSION; FINITE ELEMENT METHOD; ROCKS; SURFACE PHENOMENA; SURFACE TOPOGRAPHY; TECTONICS;

HEAT TRANSPORT EQUATIONS;

HEAT TRANSFER;

CRUSTAL DEFORMATION; EROSION; FINITE ELEMENT METHOD; GEOCHRONOLOGY; HEAT TRANSFER; UPLIFT;

EID: 0041339614     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-3004(03)00052-9     Document Type: Article

References (19)

1. Bathe, K.-J., 1982. Finite Element Procedures in Engineering Analysis, 1st Edition. Prentice-Hall, Englewood Cliffs, NJ, 735pp.
2. Beaumont C. Kooi H. Willett S. coupled tectonic-surface process models with applications to rifted margins and collisional orogens Summerfield M. Geomorphology and Global Tectonics 1999 29-55 Wiley New York
3. Belytschko T. Yen H.-J. Mullen R. Mixed methods for time integration Computer Methods in Applied Mechanics and Engineering 17, 18 1979 259-275
4. Braun J. Sambridge M. Modelling landscape evolution on geological time scales: a new method based on irregular spatial discretization Basin Research 9 1997 27-52
5. Carslaw, H.S., Jaeger, C.J., 1959. Conduction of Heat in Solids, 3rd Edition. Clarendon Press, Oxford, 510pp.
6. Farley K.A. Helium diffusion from apatite: general behavior as illustrated by Durango fluorapatite Journal of Geophysical Research 105 B2 2000 2903-2914
7. Farley K.A. Wolf R. Silver L. The effect of long alpha-stopping distances on (U-Th)/He dates Geochemica et Cosmochemica Acta 60 1996 4223-4229
8. House M.A. Wernicke B.P. Farley K.A. Dumitru T.A. Cenozoic thermal evolution of the central Sierra Nevada, California, from (U-Th)/He thermochronometry Earth and Planetary Science Letters 151 1997 167-169
9. House M.A. Wernicke B.P. Farley K.A. Dating topography of the Sierra Nevada, California, using apatite (U-Th)/He ages Nature 396 1998 66-69
10. House M.A. Wernicke B.P. Farley K.A. Paleo-geomorphology of the Sierra Nevada, California, from (U-Th)/He ages in apatite American Journal of Science 396 2001 66-69
11. Hughes T. Brooks A. A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: applications to the streamline-upwind procedure Gallagher R.H. Norrie D.H. Oden J.T. Zienkiewicz O.C. Finite Elements in Fluids 1982 47-65 Wiley New York
12. Hughes, T.J.R., Raefsky, A., Muller, A., 1984. A progress report on EBE solution procedures in solid mechanics. In: Taylor, C., Owen, D., Hintons, E. (Eds,), Numerical Methods for Nonlinear Problems, Vol. 2. Proceedings of the Second International Conference, Universidad Polytechnica de Barcelone, Spain, pp. 18-109.
13. Mancktelow N.S. Grasemann B. Time-dependent effects of heat advection and topography on cooling histories during erosion Earth and Planetary Science Letters 270 1997 167-195
14. Stüwe K. White L. Brown R. The influence of eroding topography on steady-state isotherms. Application to fission track analysis Earth and Planetary Science Letters 124 1994 63-74
15. Turcotte, D.L., Schubert, G., 1982. Geodynamics: Applications of Continuum Physics to Geological Problems, 1st Edition. Wiley, New York, 456pp.
16. Wolf R.A. Farley K.A. Silver L.T. Helium diffusion and low-temperature thermochronometry of apatite Geochemica et Cosmochemica Acta 60 1996 4231-4240
17. Wolf R.A. Farley K.A. Kass D.M. Modeling of the temperature sensitivity of the apatite (U-Th)/He thermochronometer Chemical Geology 148 1998 105-114
18. Zeitler P.K. Herczig A.L. McDougall I. Honda M. U-Th-He dating of apatite: a potential thermochronometer Geochemica et Cosmochemica Acta 51 1987 2865-2868
19. Zienkiewicz, O.C., 1977. The Finite Element Method, 3rd Edition. McGraw-Hill, Maidenhead, England, 787pp.