Mesh and model adaptivity for flow problems

This work addresses two aspects. The first one is the practical realization of the dual weighted residual (DWR) method of Becker & Rannacher [6] to three dimensional flow problems. The second aspect is its extension to modeling errors. This gives the possibility to use on the one hand locally re...

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Bibliographic Details
Main Authors: Becker, Roland (Author) , Braack, Malte (Author) , Rannacher, Rolf (Author) , Richter, Thomas (Author)
Format: Chapter/Article
Language:English
Published: 2007
In: Reactive flows, diffusion and transport
Year: 2007, Pages: 47-75
DOI:10.1007/978-3-540-28396-6_3
Online Access:Verlag, Volltext: http://dx.doi.org/10.1007/978-3-540-28396-6_3
Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-540-28396-6_3
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Author Notes:R. Becker, M. Braack, R. Rannacher and T. Richter
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Summary:This work addresses two aspects. The first one is the practical realization of the dual weighted residual (DWR) method of Becker & Rannacher [6] to three dimensional flow problems. The second aspect is its extension to modeling errors. This gives the possibility to use on the one hand locally refined meshes, and on the other hand, a hierarchy of models in order to reduce the numerical costs without sacrifying accuracy. The issue of modeling errors is of importance in many fields, especially in reactive flow computations where sophisticated models are developed but not feasable to be used in multidimensional computations due to the high numerical costs.
Item Description:Gesehen am 11.06.2018
Physical Description:Online Resource
ISBN:9783540283966
DOI:10.1007/978-3-540-28396-6_3