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

Braun, Jean

Description

A robust finite-element code (Pecube) has been developed to solve the three-dimensional heat transport equation in a crustal/lithospheric block undergoing uplift and surface erosion, and characterized by an evolving, finite-amplitude surface topography. The time derivative of the temperature field is approximated by a second-order accurate, mid-point, implicit scheme that takes into account the changing geometry of the problem. The method is based on a mixed Eulerian-Lagrangian approach that...[Show more]

dc.contributor.authorBraun, Jean
dc.date.accessioned2015-12-13T22:36:39Z
dc.date.available2015-12-13T22:36:39Z
dc.identifier.issn0098-3004
dc.identifier.urihttp://hdl.handle.net/1885/76869
dc.description.abstractA robust finite-element code (Pecube) has been developed to solve the three-dimensional heat transport equation in a crustal/lithospheric block undergoing uplift and surface erosion, and characterized by an evolving, finite-amplitude surface topography. The time derivative of the temperature field is approximated by a second-order accurate, mid-point, implicit scheme that takes into account the changing geometry of the problem. The method is based on a mixed Eulerian-Lagrangian approach that requires frequent re-interpolation of the temperature field in the vertical direction to ensure accuracy. From the computed crustal thermal structure, the temperature history of rock particles that, following an imposed tectonic scenario, are exhumed at the Earth's surface, is derived. These T-t paths can then be used to compute apparent isotopic ages for a range of geochronometers. The usefulness of the code is demonstrated by computing the predicted distribution of (U-Th)/He apatite ages in a high relief area of the Sierra Nevada, California, for a range of tectonic scenarios and comparing them to existing data.
dc.publisherPergamon Press
dc.sourceComputers and Geosciences
dc.subjectKeywords: 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 Heat transfer equation; Low-T geochronology; Numerical modelling; Relief evolution; Time-varying surface topography
dc.titlePecube: a new finite-element code to solve the 3D heat transport equation including the effects of a time-varying, finite amplitude surface topography
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume29
dc.date.issued2003
local.identifier.absfor040303 - Geochronology
local.identifier.ariespublicationMigratedxPub5670
local.type.statusPublished Version
local.contributor.affiliationBraun, Jean, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage787
local.bibliographicCitation.lastpage794
local.identifier.doi10.1016/S0098-3004(03)00052-9
dc.date.updated2015-12-11T09:32:45Z
local.identifier.scopusID2-s2.0-0041339614
CollectionsANU Research Publications

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