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

Niall Madden

doi:10.13025/15121

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

Niall Madden

Mathematics

Research output: Other contribution (Published) › Other contribution

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.

Original language	English (Ireland)
Media of output	Conference Paper
DOIs	https://doi.org/10.13025/15121
Publication status	Published - 1 Jul 2004

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BAIL04 MST AranAccepted author manuscript, 146 KBLicence: CC BY-NC-ND

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

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\$-\$\textbackslash{}epsilon\$ turbulence model.The numerical results are compared with experimental data. ",

author = "Niall Madden",

note = "We show how to apply layer-resolving methods to an applied problem from wave-current interactions.",

year = "2004",

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doi = "10.13025/15121",

language = "English (Ireland)",

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AU - Madden, Niall

N1 - We show how to apply layer-resolving methods to an applied problem from wave-current interactions.

PY - 2004/7/1

Y1 - 2004/7/1

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10379/2689

U2 - 10.13025/15121

DO - 10.13025/15121

M3 - Other contribution

ER -

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

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