### Abstract

This paper analyzes the use of localized sigma coordinates in the numerical solution of the vertical structure of coastal flows. We show, through a combination of truncation error analysis and 2D (vertical) numerical experimentation, that localized sigma coordinates have two important advantages over the more traditional domain-wide sigma coordinates: the evaluation of horizontal gradients of density in the presence of steep bottom slopes is more accurate, and the vertical discretization can be freely placed where it is needed. These two advantages appear to far out weight, for practical situations, the restrictions imposed by the fact that the localized sigma coordinates are only conditionally consistent.

Original language | English (US) |
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Title of host publication | Proc 3 Int Conf Estuarine Coastal Model 3 |

Editors | Malcolm L. Spaulding, Keith Bedford, Alan Blumberg, Ralph Cheng, Craig Swanson |

Publisher | Publ by ASCE |

Pages | 323-335 |

Number of pages | 13 |

ISBN (Print) | 0872629759 |

State | Published - 1994 |

Event | Proceedings of the 3rd International Conference on Estuarine and Coastal Modeling III - Oak Brook, IL, USA Duration: Sep 8 1993 → Sep 10 1993 |

### Other

Other | Proceedings of the 3rd International Conference on Estuarine and Coastal Modeling III |
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City | Oak Brook, IL, USA |

Period | 9/8/93 → 9/10/93 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proc 3 Int Conf Estuarine Coastal Model 3*(pp. 323-335). Publ by ASCE.

**Localized sigma coordinates for the vertical structure of hydrodynamic models.** / Fortunato, Andre B.; Baptista, Antonio.

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

*Proc 3 Int Conf Estuarine Coastal Model 3.*Publ by ASCE, pp. 323-335, Proceedings of the 3rd International Conference on Estuarine and Coastal Modeling III, Oak Brook, IL, USA, 9/8/93.

}

TY - GEN

T1 - Localized sigma coordinates for the vertical structure of hydrodynamic models

AU - Fortunato, Andre B.

AU - Baptista, Antonio

PY - 1994

Y1 - 1994

N2 - This paper analyzes the use of localized sigma coordinates in the numerical solution of the vertical structure of coastal flows. We show, through a combination of truncation error analysis and 2D (vertical) numerical experimentation, that localized sigma coordinates have two important advantages over the more traditional domain-wide sigma coordinates: the evaluation of horizontal gradients of density in the presence of steep bottom slopes is more accurate, and the vertical discretization can be freely placed where it is needed. These two advantages appear to far out weight, for practical situations, the restrictions imposed by the fact that the localized sigma coordinates are only conditionally consistent.

AB - This paper analyzes the use of localized sigma coordinates in the numerical solution of the vertical structure of coastal flows. We show, through a combination of truncation error analysis and 2D (vertical) numerical experimentation, that localized sigma coordinates have two important advantages over the more traditional domain-wide sigma coordinates: the evaluation of horizontal gradients of density in the presence of steep bottom slopes is more accurate, and the vertical discretization can be freely placed where it is needed. These two advantages appear to far out weight, for practical situations, the restrictions imposed by the fact that the localized sigma coordinates are only conditionally consistent.

UR - http://www.scopus.com/inward/record.url?scp=0027961923&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027961923&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0027961923

SN - 0872629759

SP - 323

EP - 335

BT - Proc 3 Int Conf Estuarine Coastal Model 3

A2 - Spaulding, Malcolm L.

A2 - Bedford, Keith

A2 - Blumberg, Alan

A2 - Cheng, Ralph

A2 - Swanson, Craig

PB - Publ by ASCE

ER -