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Influence of interpolation scheme on the accuracy of overset method for computing rudder-propeller interaction

Influence of interpolation scheme on the accuracy of overset method for computing rudder-propeller interaction
Influence of interpolation scheme on the accuracy of overset method for computing rudder-propeller interaction
The overset method and associated interpolation schemes are usually thoroughly verified only on synthetic or academic test cases for which conclusions might not directly translate to real engineering problems. In the present work, an overset grid method is used to simulate a rudder-propeller flow, for which a comprehensive verification and validation study is performed. Three overset-related interpolation schemes (first order inverse distance, second order nearest cell gradient and third order least squares) are tested to quantify and qualify numerical errors on integral quantities, mass imbalance, flow features and rudder pressure distributions. The performance overhead is also measured to help make accuracy versus performance balance decisions. Rigorous solution verification is performed to estimate time and space Discretization, iterative and statistical uncertainties. Validation of the propeller-rudder flow against experimental data is also done. The results show that, while the choice of interpolation scheme has minimal impact on time-averaged integral quantities (like propeller and rudder forces), they do influence the smoothness of the time signals, with the first order scheme resulting in large intensity high-frequency temporal oscillations. Lower order interpolation methods also produce more interpolation artifacts in fringe cells, which are then convected downstream. Mass imbalance is also affected by the interpolation scheme, with higher order schemes such as the third order least squares approach resulting in an order of magnitude lower flux errors. The limitations of first order schemes do not, however, result in significant lower computational overhead, with the second order nearest cell gradient being even cheaper than the inverse distance scheme in the tested implementation. Lastly, validation shows promising results with rudder forces within 10% of the experiments.
2377-2158
Lemaire, Sebastien
05986dec-3675-41f4-b9a4-ae4036390d6b
Vaz, Guilherme
a053069d-9831-4b28-a9c0-6503ddaab25d
Deij - van Rijswijk, Menno
0723e760-ff62-4a50-827f-e7efa3788a18
Turnock, Stephen R.
d6442f5c-d9af-4fdb-8406-7c79a92b26ce
Lemaire, Sebastien
05986dec-3675-41f4-b9a4-ae4036390d6b
Vaz, Guilherme
a053069d-9831-4b28-a9c0-6503ddaab25d
Deij - van Rijswijk, Menno
0723e760-ff62-4a50-827f-e7efa3788a18
Turnock, Stephen R.
d6442f5c-d9af-4fdb-8406-7c79a92b26ce

Lemaire, Sebastien, Vaz, Guilherme, Deij - van Rijswijk, Menno and Turnock, Stephen R. (2023) Influence of interpolation scheme on the accuracy of overset method for computing rudder-propeller interaction. Journal of Verification, Validation and Uncertainty Quantification, 8 (1), [011002]. (doi:10.1115/1.4056681).

Record type: Article

Abstract

The overset method and associated interpolation schemes are usually thoroughly verified only on synthetic or academic test cases for which conclusions might not directly translate to real engineering problems. In the present work, an overset grid method is used to simulate a rudder-propeller flow, for which a comprehensive verification and validation study is performed. Three overset-related interpolation schemes (first order inverse distance, second order nearest cell gradient and third order least squares) are tested to quantify and qualify numerical errors on integral quantities, mass imbalance, flow features and rudder pressure distributions. The performance overhead is also measured to help make accuracy versus performance balance decisions. Rigorous solution verification is performed to estimate time and space Discretization, iterative and statistical uncertainties. Validation of the propeller-rudder flow against experimental data is also done. The results show that, while the choice of interpolation scheme has minimal impact on time-averaged integral quantities (like propeller and rudder forces), they do influence the smoothness of the time signals, with the first order scheme resulting in large intensity high-frequency temporal oscillations. Lower order interpolation methods also produce more interpolation artifacts in fringe cells, which are then convected downstream. Mass imbalance is also affected by the interpolation scheme, with higher order schemes such as the third order least squares approach resulting in an order of magnitude lower flux errors. The limitations of first order schemes do not, however, result in significant lower computational overhead, with the second order nearest cell gradient being even cheaper than the inverse distance scheme in the tested implementation. Lastly, validation shows promising results with rudder forces within 10% of the experiments.

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Overset_Rudder_Prop_SLemaire_et_al - Accepted Manuscript
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Accepted/In Press date: 10 January 2023
e-pub ahead of print date: 27 January 2023
Published date: 1 March 2023
Additional Information: Acknowledgements: This research was financially supported by the EPSRC Centre for Doctoral Training in Next Generation Computational Modelling (EP/L015382/1) at the University of Southampton including financial support from MARIN. The authors also acknowledge the 24 Lemaire ET AL use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton as well as MARIN HPC Marclus4 and blueOASIS resources and facilities, in the completion of this work.

Identifiers

Local EPrints ID: 476385
URI: http://eprints.soton.ac.uk/id/eprint/476385
ISSN: 2377-2158
PURE UUID: ed6f6f4c-f62c-4b74-ac1d-cbbba22c431d
ORCID for Sebastien Lemaire: ORCID iD orcid.org/0000-0002-9959-2100
ORCID for Stephen R. Turnock: ORCID iD orcid.org/0000-0001-6288-0400

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Date deposited: 19 Apr 2023 16:49
Last modified: 17 Mar 2024 02:35

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Author: Sebastien Lemaire ORCID iD
Author: Guilherme Vaz
Author: Menno Deij - van Rijswijk

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