### Abstract

The influence of an isolated submerged obstacle on the dynamics of a material particle is studied within the limits of a barotropic, quasi-geostrophic model of oceanic S-plane flow, for cases in which the incident how has both steady and tidal components of velocity. Two kinds of motion are shown to occur, namely (i) the particle performs quasi-periodic oscillations in the vicinity of the obstacle or (ii) the particle acquires an infinite character (i.e., the particle leaving the vicinity of the obstacle is irrevocably advected downstream by the background flow). Sufficient conditions are obtained for the existence of both classes of motion. Conditions for domain alternation of the finite and infinite solutions have been derived numerically for different external parameters (e.g., the kinematic characteristics of the flow field and the height of topography). Using the Contour Dynamics Method, results are presented to show how the predicted motions of individual particles can be extended to predict the behaviour of finite water volumes in general and particle admixture patches in particular.

Original language | English |
---|---|

Pages (from-to) | 1-30 |

Number of pages | 30 |

Journal | Geophysical & Astrophysical Fluid Dynamics |

Volume | 88 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1998 |

### Keywords

- oceanic f-plane
- submerged obstacle
- RECTIFICATION
- barotropic tidal flow
- MODEL
- FINITE-AMPLITUDE BANKS
- DYNAMICS
- SEAMOUNT
- SIMULATION
- quasi-geostrophic

### Cite this

*Geophysical & Astrophysical Fluid Dynamics*,

*88*(1-2), 1-30. https://doi.org/10.1080/03091929808245466

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*Geophysical & Astrophysical Fluid Dynamics*, vol. 88, no. 1-2, pp. 1-30. https://doi.org/10.1080/03091929808245466

**On the influence of an isolated submerged obstacle on a barotropic tidal flow.** / Sokolovskiy, M.A.; Zyryanov, V.N.; Davies, P.A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On the influence of an isolated submerged obstacle on a barotropic tidal flow

AU - Sokolovskiy, M.A.

AU - Zyryanov, V.N.

AU - Davies, P.A.

PY - 1998

Y1 - 1998

N2 - The influence of an isolated submerged obstacle on the dynamics of a material particle is studied within the limits of a barotropic, quasi-geostrophic model of oceanic S-plane flow, for cases in which the incident how has both steady and tidal components of velocity. Two kinds of motion are shown to occur, namely (i) the particle performs quasi-periodic oscillations in the vicinity of the obstacle or (ii) the particle acquires an infinite character (i.e., the particle leaving the vicinity of the obstacle is irrevocably advected downstream by the background flow). Sufficient conditions are obtained for the existence of both classes of motion. Conditions for domain alternation of the finite and infinite solutions have been derived numerically for different external parameters (e.g., the kinematic characteristics of the flow field and the height of topography). Using the Contour Dynamics Method, results are presented to show how the predicted motions of individual particles can be extended to predict the behaviour of finite water volumes in general and particle admixture patches in particular.

AB - The influence of an isolated submerged obstacle on the dynamics of a material particle is studied within the limits of a barotropic, quasi-geostrophic model of oceanic S-plane flow, for cases in which the incident how has both steady and tidal components of velocity. Two kinds of motion are shown to occur, namely (i) the particle performs quasi-periodic oscillations in the vicinity of the obstacle or (ii) the particle acquires an infinite character (i.e., the particle leaving the vicinity of the obstacle is irrevocably advected downstream by the background flow). Sufficient conditions are obtained for the existence of both classes of motion. Conditions for domain alternation of the finite and infinite solutions have been derived numerically for different external parameters (e.g., the kinematic characteristics of the flow field and the height of topography). Using the Contour Dynamics Method, results are presented to show how the predicted motions of individual particles can be extended to predict the behaviour of finite water volumes in general and particle admixture patches in particular.

KW - oceanic f-plane

KW - submerged obstacle

KW - RECTIFICATION

KW - barotropic tidal flow

KW - MODEL

KW - FINITE-AMPLITUDE BANKS

KW - DYNAMICS

KW - SEAMOUNT

KW - SIMULATION

KW - quasi-geostrophic

U2 - 10.1080/03091929808245466

DO - 10.1080/03091929808245466

M3 - Article

VL - 88

SP - 1

EP - 30

JO - Geophysical & Astrophysical Fluid Dynamics

JF - Geophysical & Astrophysical Fluid Dynamics

SN - 0309-1929

IS - 1-2

ER -