Imperial College London
Alternate

ProfessorGeorgePapadakis

Faculty of Engineering, Department of Aeronautics

Professor of Aerodynamics
 
 
 
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Contact

 

+44 (0)20 7594 5080g.papadakis

 
 
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Location

 

331City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Papadakis:2020:10.3390/a13040090,
author = {Papadakis, G and Kantarakias, K},
doi = {10.3390/a13040090},
journal = {Algorithms},
pages = {1--16},
title = {Application of generalized Polynomial Chaos for Quantification of uncertainties of time–averages and their sensitivities in chaotic systems},
url = {http://dx.doi.org/10.3390/a13040090},
volume = {13},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In this paper, we consider the effect of stochastic uncertainties on non-linear systems with chaotic behavior. More specifically, we quantify the effect of parametric uncertainties to time-averaged quantities and their sensitivities. Sampling methods for Uncertainty Quantification (UQ), such as the Monte–Carlo (MC), are very costly, while traditional methods for sensitivity analysis, such as the adjoint, fail in chaotic systems. In this work, we employ the non-intrusive generalized Polynomial Chaos (gPC) for UQ, coupled with the Multiple-Shooting Shadowing (MSS) algorithm for sensitivity analysis of chaotic systems. It is shown that the gPC, coupled with MSS, is an appropriate method for conducting UQ in chaotic systems and produces results that match well with those from MC and Finite-Differences (FD).
AU  - Papadakis,G
AU  - Kantarakias,K
DO  - 10.3390/a13040090
EP  - 16
PY  - 2020///
SN  - 1999-4893
SP  - 1
TI  - Application of generalized Polynomial Chaos for Quantification of uncertainties of time–averages and their sensitivities in chaotic systems
T2  - Algorithms
UR  - http://dx.doi.org/10.3390/a13040090
UR  - https://www.mdpi.com/1999-4893/13/4/90
UR  - http://hdl.handle.net/10044/1/79247
VL  - 13
ER  -
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