Adaptive finite element approximation of coupled flow and transport problems with applications in heat transfer
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
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.
Place, publisher, year, edition, pages
Wiley , 2008. Vol. 57, no 9, 1397-1420 p.
finite element methods, Navier–Stokes, adaptivity, error estimation, mesh adaptation, advection–diffusion equation
Probability Theory and Statistics
Research subject Mathematical Statistics
IdentifiersURN: urn:nbn:se:umu:diva-19830DOI: 10.1002/fld.1818OAI: oai:DiVA.org:umu-19830DiVA: diva2:207459