Goal‐oriented error estimation for Stokes flow interacting with a flexible channel | Zendy

van der Zee K. G. | Zendy; van Brummelen E. H. | Zendy; de Borst R. | Zendy

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Goal‐oriented error estimation for Stokes flow interacting with a flexible channel

Author(s) -

van der Zee K. G.,

van Brummelen E. H.,

de Borst R.

Publication year - 2007

Publication title -

international journal for numerical methods in fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.938

H-Index - 112

eISSN - 1097-0363

pISSN - 0271-2091

DOI - 10.1002/fld.1652

Subject(s) - estimator , channel (broadcasting) , stokes flow , domain (mathematical analysis) , flow (mathematics) , mathematics , stokes problem , dual (grammatical number) , open channel flow , variable (mathematics) , finite element method , computer science , mathematical optimization , algorithm , mathematical analysis , geometry , physics , telecommunications , statistics , art , literature , thermodynamics

We develop a goal‐oriented error estimator for finite‐element discretizations of fluid–structure‐interaction problems. As a model problem, we consider the steady Stokes flow in a 2D channel where part of the channel wall is flexible. We introduce the reference domain approach where the Stokes problem on the variable domain is transformed into a fixed reference domain. This allows the formulation of a proper dual problem. The dual solution is then used in the evaluation of the error estimate, as usual. Copyright © 2007 John Wiley & Sons, Ltd.

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