## Abstract

Efficiency of mixing, resulting from the reflection of an internal wave field imposed on the oscillatory background flow with a three-dimensional bottom topography, is investigated using a linear approximation. The radiating wave field is associated with the spectrum of the linear model, which consists of those mode numbers n and slope values α, for which the solution represents the internal waves of frequencies ω = nω_{0} radiating upwrad of the topography, where ω_{0} is the fundamental frequency at which internal waves are generated at the topography. The effects of the bottom topography and the earth's rotation on the spectrum is analyzed analytically and numerically in the vicinity of the critical slope α_{n,θ}^{c} = arcsin (n ^{2}ω _{0}^{2}-f ^{2}/N ^{2}-f ^{2}) ^{1/2} α n,θ c = arcsin n 2 ω 0 2-f_{2}N _{2}-f_{2}12, which is a slope with the same angle to the horizontal as the internal wave characteristic. In this notation, θ is latitude, f is the Coriolis parameter and N is the buoyancy frequency, which is assumed to be a constant, which corresponds to the uniform stratification.

Original language | English (US) |
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Pages (from-to) | 119-137 |

Number of pages | 19 |

Journal | Mathematical Modelling of Natural Phenomena |

Volume | 9 |

Issue number | 5 |

DOIs | |

State | Published - 2014 |

Externally published | Yes |

## Keywords

- Effects of rotation
- Flows over topography
- Internal waves
- Ocean mixing

## ASJC Scopus subject areas

- Modeling and Simulation
- Applied Mathematics