A Newton-Galerkin method for fluid flow exhibiting uncertain periodic dynamics
The determination of limit-cycles plays an important role in characterizing complex dynamical systems, such as unsteady fluid flows. In practice, dynamical systems are described by models equations involving parameters which are seldom exactly known, leading to parametric uncertainties. These parame...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
04 February 2016
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| In: |
SIAM review
Year: 2016, Volume: 58, Issue: 1, Pages: 119-140 |
| ISSN: | 1095-7200 |
| DOI: | 10.1137/15M104311X |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1137/15M104311X Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/15M104311X 
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| Author Notes: | M. Schick, V. Heuveline, O.P. Le Maître |
| Summary: | The determination of limit-cycles plays an important role in characterizing complex dynamical systems, such as unsteady fluid flows. In practice, dynamical systems are described by models equations involving parameters which are seldom exactly known, leading to parametric uncertainties. These parameters can be suitably modeled as random variables, so if the system possesses almost surely a stable time periodic solution, limit-cycles become stochastic, too. This paper introduces a novel numerical method for the computation of stable stochastic limit-cycles based on the spectral stochastic finite element method with polynomial chaos (PC) expansions. |
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| Item Description: | Gesehen am 13.05.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1095-7200 |
| DOI: | 10.1137/15M104311X |