### Abstract

The equatorial coastal circulation is modeled in terms of the linear wave response to a diurnally oscillating heat source gradient in a background wind. A diurnal scaling shows that the solution depends on two parameters: a nondimensional coastal width L and a nondimensional wind speed U. The solutions are interpreted by comparing to the U = 0 theory of Rotunno. For U ≠ 0 the Fourier integral solution consists of three distinct wave branches. Two of these branches correspond to the prior no-wind solution of Rotunno, except with Doppler shifting and associated wave dispersion. The third branch exists only for U ≠ 0 and is shown to be broadly similar to flow past a steady heat source or a topographic obstacle. The relative importance of this third branch is determined largely by the parameter combination U/L. For sufficiently large U/L the third branch becomes the dominant part of the solution. The spatial structures of the three branches are described in terms of group velocity arguments combined with a desingularized quadrature method.

Original language | English (US) |
---|---|

Pages (from-to) | 1749-1763 |

Number of pages | 15 |

Journal | Journal of the Atmospheric Sciences |

Volume | 66 |

Issue number | 6 |

DOIs | |

State | Published - Sep 10 2009 |

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### All Science Journal Classification (ASJC) codes

- Atmospheric Science

### Cite this

*Journal of the Atmospheric Sciences*,

*66*(6), 1749-1763. https://doi.org/10.1175/2008JAS2851.1

}

*Journal of the Atmospheric Sciences*, vol. 66, no. 6, pp. 1749-1763. https://doi.org/10.1175/2008JAS2851.1

**Linear theory calculations for the sea breeze in a background wind : The equatorial case.** / Qian, Tingting; Epifanio, Craig C.; Zhang, Fuqing.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Linear theory calculations for the sea breeze in a background wind

T2 - The equatorial case

AU - Qian, Tingting

AU - Epifanio, Craig C.

AU - Zhang, Fuqing

PY - 2009/9/10

Y1 - 2009/9/10

N2 - The equatorial coastal circulation is modeled in terms of the linear wave response to a diurnally oscillating heat source gradient in a background wind. A diurnal scaling shows that the solution depends on two parameters: a nondimensional coastal width L and a nondimensional wind speed U. The solutions are interpreted by comparing to the U = 0 theory of Rotunno. For U ≠ 0 the Fourier integral solution consists of three distinct wave branches. Two of these branches correspond to the prior no-wind solution of Rotunno, except with Doppler shifting and associated wave dispersion. The third branch exists only for U ≠ 0 and is shown to be broadly similar to flow past a steady heat source or a topographic obstacle. The relative importance of this third branch is determined largely by the parameter combination U/L. For sufficiently large U/L the third branch becomes the dominant part of the solution. The spatial structures of the three branches are described in terms of group velocity arguments combined with a desingularized quadrature method.

AB - The equatorial coastal circulation is modeled in terms of the linear wave response to a diurnally oscillating heat source gradient in a background wind. A diurnal scaling shows that the solution depends on two parameters: a nondimensional coastal width L and a nondimensional wind speed U. The solutions are interpreted by comparing to the U = 0 theory of Rotunno. For U ≠ 0 the Fourier integral solution consists of three distinct wave branches. Two of these branches correspond to the prior no-wind solution of Rotunno, except with Doppler shifting and associated wave dispersion. The third branch exists only for U ≠ 0 and is shown to be broadly similar to flow past a steady heat source or a topographic obstacle. The relative importance of this third branch is determined largely by the parameter combination U/L. For sufficiently large U/L the third branch becomes the dominant part of the solution. The spatial structures of the three branches are described in terms of group velocity arguments combined with a desingularized quadrature method.

UR - http://www.scopus.com/inward/record.url?scp=69849085767&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69849085767&partnerID=8YFLogxK

U2 - 10.1175/2008JAS2851.1

DO - 10.1175/2008JAS2851.1

M3 - Article

VL - 66

SP - 1749

EP - 1763

JO - Journals of the Atmospheric Sciences

JF - Journals of the Atmospheric Sciences

SN - 0022-4928

IS - 6

ER -