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On the application of robust numerical methods to a complete flow wave-current model. Boundary and Interior Layers ONERA

Madden, Niall
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http://www.cert.fr/colloques/bail2004/fichiers/Authors/Madden-Stynes.pdf
 http://hdl.handle.net/10379/2689
 https://doi.org/10.13025/15121
Publication Date
2004
Keywords
Boundary layers, Wave current interactions, Orr-Sommerfeld
Type
conference paper
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Niall Madden, Martin Stynes, and Gareth Thomas (2004) On the application of robust numerical methods to a complete flow wave-current model. Boundary and Interior Layers ONERA. Conference Paper
Abstract
We aim to show how parameter-robust numerical method may be employed to solve equations arising in the modelling of wave-current interactions.We present two such models: a complete flow model for wave-current interaction in the presence of weakly turbulent flow leading to an Orr-Sommerfeld type problem, and a system of two singularly perturbed reaction-diffusion equations from a $k$-$\epsilon$ turbulence model.The numerical results are compared with experimental data.
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CC BY-NC-ND
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Mathematics (Conference Papers)