### Abstract

We propose a simple theoretical model for the boundary layer (BL) of moving tropical cyclones (TCs). The model estimates the horizontal and vertical wind velocity fields from a few TC characteristics: the maximum tangential wind speed V_{max}, the radius of maximum winds R_{max}, and Holland's B parameter away from the surface boundary where gradient balance is approximately valid, in addition to the storm translation velocity V_{t}, the surface drag coefficient C_{D}, and the vertical diffusion coefficient of the horizontal momentum K. The model is based on Smith's (1968) formulation for stationary (axi-symmet-ric) tropical cyclones. Smith's model is first extended to include storm motion and then solved using the momentum integral method. The scheme is computationally very efficient and is stable also for large B values and fast-moving storms. Results are compared to those from other studies (Shapiro 1983; Kepert 2001) and validated using the Fifth-Generation Pennsylvania State University/NCAR Mesoscale Model (MM5). We find that Kepert's (2001) BL model significantly underestimates the radial and vertical fluxes, whereas Shapiro's (1983) slab-layer formulation produces radial and vertical winds that are a factor of about two higher than those produced by MM5. The velocity fields generated by the present model are consistent with MM5 and with tropical cyclone observations. We use the model to study how the symmetric and asymmetric components of the wind field vary with the storm parameters mentioned above. In accordance with observations, we find that larger values of B and lower values of R_{max} produce horizontal and vertical wind profiles that are more picked near the radius of maximum winds. We also find that, when cyclones in the northern hemisphere move, the vertical and storm-relative radial winds intensify at the right-front quadrant of the vortex, whereas the storm-relative tangential winds are more intense in the left-front region. The asymmetry is higher for faster moving TCs and for higher surface drag coefficients C_{D}.

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

Title of host publication | Hurricanes and Climate Change |

Pages | 265-286 |

Number of pages | 22 |

DOIs | |

State | Published - 2009 |

Externally published | Yes |

Event | 2007 Summit on Hurricanes and Climate Change - Hersonissos, Crete, Greece Duration: May 27 2007 → May 30 2007 |

### Other

Other | 2007 Summit on Hurricanes and Climate Change |
---|---|

Country | Greece |

City | Hersonissos, Crete |

Period | 5/27/07 → 5/30/07 |

### Fingerprint

### ASJC Scopus subject areas

- Environmental Engineering

### Cite this

*Hurricanes and Climate Change*(pp. 265-286) https://doi.org/10.1007/978-0-387-09410-6

**Boundary layer model for moving tropical cyclones.** / Langousis, Andreas; Veneziano, Daniele; Chen, Shuyi S.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Hurricanes and Climate Change.*pp. 265-286, 2007 Summit on Hurricanes and Climate Change, Hersonissos, Crete, Greece, 5/27/07. https://doi.org/10.1007/978-0-387-09410-6

}

TY - GEN

T1 - Boundary layer model for moving tropical cyclones

AU - Langousis, Andreas

AU - Veneziano, Daniele

AU - Chen, Shuyi S

PY - 2009

Y1 - 2009

N2 - We propose a simple theoretical model for the boundary layer (BL) of moving tropical cyclones (TCs). The model estimates the horizontal and vertical wind velocity fields from a few TC characteristics: the maximum tangential wind speed Vmax, the radius of maximum winds Rmax, and Holland's B parameter away from the surface boundary where gradient balance is approximately valid, in addition to the storm translation velocity Vt, the surface drag coefficient CD, and the vertical diffusion coefficient of the horizontal momentum K. The model is based on Smith's (1968) formulation for stationary (axi-symmet-ric) tropical cyclones. Smith's model is first extended to include storm motion and then solved using the momentum integral method. The scheme is computationally very efficient and is stable also for large B values and fast-moving storms. Results are compared to those from other studies (Shapiro 1983; Kepert 2001) and validated using the Fifth-Generation Pennsylvania State University/NCAR Mesoscale Model (MM5). We find that Kepert's (2001) BL model significantly underestimates the radial and vertical fluxes, whereas Shapiro's (1983) slab-layer formulation produces radial and vertical winds that are a factor of about two higher than those produced by MM5. The velocity fields generated by the present model are consistent with MM5 and with tropical cyclone observations. We use the model to study how the symmetric and asymmetric components of the wind field vary with the storm parameters mentioned above. In accordance with observations, we find that larger values of B and lower values of Rmax produce horizontal and vertical wind profiles that are more picked near the radius of maximum winds. We also find that, when cyclones in the northern hemisphere move, the vertical and storm-relative radial winds intensify at the right-front quadrant of the vortex, whereas the storm-relative tangential winds are more intense in the left-front region. The asymmetry is higher for faster moving TCs and for higher surface drag coefficients CD.

AB - We propose a simple theoretical model for the boundary layer (BL) of moving tropical cyclones (TCs). The model estimates the horizontal and vertical wind velocity fields from a few TC characteristics: the maximum tangential wind speed Vmax, the radius of maximum winds Rmax, and Holland's B parameter away from the surface boundary where gradient balance is approximately valid, in addition to the storm translation velocity Vt, the surface drag coefficient CD, and the vertical diffusion coefficient of the horizontal momentum K. The model is based on Smith's (1968) formulation for stationary (axi-symmet-ric) tropical cyclones. Smith's model is first extended to include storm motion and then solved using the momentum integral method. The scheme is computationally very efficient and is stable also for large B values and fast-moving storms. Results are compared to those from other studies (Shapiro 1983; Kepert 2001) and validated using the Fifth-Generation Pennsylvania State University/NCAR Mesoscale Model (MM5). We find that Kepert's (2001) BL model significantly underestimates the radial and vertical fluxes, whereas Shapiro's (1983) slab-layer formulation produces radial and vertical winds that are a factor of about two higher than those produced by MM5. The velocity fields generated by the present model are consistent with MM5 and with tropical cyclone observations. We use the model to study how the symmetric and asymmetric components of the wind field vary with the storm parameters mentioned above. In accordance with observations, we find that larger values of B and lower values of Rmax produce horizontal and vertical wind profiles that are more picked near the radius of maximum winds. We also find that, when cyclones in the northern hemisphere move, the vertical and storm-relative radial winds intensify at the right-front quadrant of the vortex, whereas the storm-relative tangential winds are more intense in the left-front region. The asymmetry is higher for faster moving TCs and for higher surface drag coefficients CD.

UR - http://www.scopus.com/inward/record.url?scp=84900572524&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84900572524&partnerID=8YFLogxK

U2 - 10.1007/978-0-387-09410-6

DO - 10.1007/978-0-387-09410-6

M3 - Conference contribution

AN - SCOPUS:84900572524

SN - 9780387094090

SP - 265

EP - 286

BT - Hurricanes and Climate Change

ER -