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Adaptive finite element approximation of coupled flow and transport problems with applications in heat transferPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2008 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 57, no 9, 1397-1420 p.Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Wiley , 2008. Vol. 57, no 9, 1397-1420 p.
##### Keyword [en]

finite element methods, Navier–Stokes, adaptivity, error estimation, mesh adaptation, advection–diffusion equation
##### National Category

Probability Theory and Statistics
##### Research subject

Mathematical Statistics
##### Identifiers

URN: urn:nbn:se:umu:diva-19830DOI: 10.1002/fld.1818OAI: oai:DiVA.org:umu-19830DiVA: diva2:207459
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Available from: 2009-03-11 Created: 2009-03-11 Last updated: 2011-04-14Bibliographically approved
##### In thesis

In this paper we develop an adaptive finite element method for heat transfer in incompressible fluid flow. The adaptive method is based on an *a posteriori* error estimate for the coupled problem, which identifies how accurately the flow and heat transfer problems must be solved in order to achieve overall accuracy in a specified goal quantity. The *a posteriori* error estimate is derived using duality techniques and is of dual weighted residual type. We consider, in particular, an *a posteriori* error estimate for a variational approximation of the integrated heat flux through the boundary of a hot object immersed into a cooling fluid flow. We illustrate the method on some test cases involving three-dimensional time-dependent flow and transport.

1. Adaptive finite element methods for multiphysics problems$(function(){PrimeFaces.cw("OverlayPanel","overlay281257",{id:"formSmash:j_idt1375:0:j_idt1379",widgetVar:"overlay281257",target:"formSmash:j_idt1375:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Finite element methods for multiscale/multiphysics problems$(function(){PrimeFaces.cw("OverlayPanel","overlay410033",{id:"formSmash:j_idt1375:1:j_idt1379",widgetVar:"overlay410033",target:"formSmash:j_idt1375:1:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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