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Computational Mechanics
Erschienen in: Computational Mechanics 1/2014

01.01.2014 | Original Paper

Space–time computation techniques with continuous representation in time (ST-C)

verfasst von: Kenji Takizawa, Tayfun E. Tezduyar

Erschienen in: Computational Mechanics | Ausgabe 1/2014

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Abstract

We introduce space–time computation techniques with continuous representation in time (ST-C), using temporal NURBS basis functions. This gives us a temporally smooth, NURBS-based solution, which is desirable in some cases, and a more efficient way of dealing with the computed data. We propose two versions of ST-C. In the first version, the smooth solution is extracted by projection from a solution computed with a different temporal representation, typically a discontinuous one. We use a successive projection technique with a small number of temporal NURBS basis functions at each projection, and therefore the extraction can take place as the solution with discontinuous temporal representation is being computed, without storing a large amount of time-history data. This version is not limited to solutions computed with ST techniques. In the second version, the solution with continuous temporal representation is computed directly by using a small number of temporal NURBS basis functions in the variational formulation associated with each time step.
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Metadaten
Titel
Space–time computation techniques with continuous representation in time (ST-C)
verfasst von
Kenji Takizawa
Tayfun E. Tezduyar
Publikationsdatum
01.01.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 1/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0895-y

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