### Abstract

The adjoint method is used to develop an objective analysis technique for estimating the vertical eddy viscosity used in three dimensional oceanic models. A cost functional which consists of two terms is formulated. The first term describes the difference, or lack of fit, between model results and available data. The second term measures the variance of the eddy viscosity with depth. Formulation of the cost functional is complete after coefficients (weights) are introduced to vary the relative influence of each of the terms. The ``optimized'' eddy viscosity estimate is obtained by minimizing the value of this functional. Results demonstrate the algorithm's ability to produce valid solutions to the posed problem. The smoothing term provides stability by limiting the change of the eddy viscosity in the vertical, and computer requirements are reduced with use of a ``Vertical Horizontal Splitting'' routine.

Original language | English |
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Title of host publication | Proc 2 Int Conf Estuarine Coastal Model |

Publisher | Publ by ASCE |

Pages | 733-745 |

Number of pages | 13 |

ISBN (Print) | 0872628612 |

Publication status | Published - 1992 |

Externally published | Yes |

Event | Proceedings of the 2nd International Conference on Estuarine and Coastal Modeling - Tampa, FL, USA Duration: 13 Nov 1992 → 15 Nov 1992 |

### Other

Other | Proceedings of the 2nd International Conference on Estuarine and Coastal Modeling |
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City | Tampa, FL, USA |

Period | 13/11/92 → 15/11/92 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proc 2 Int Conf Estuarine Coastal Model*(pp. 733-745). Publ by ASCE.

**Modified adjoint method for inverse eddy viscosity estimation for use in coastal circulation models.** / Richardson, John; Panchang, Vijay.

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

*Proc 2 Int Conf Estuarine Coastal Model.*Publ by ASCE, pp. 733-745, Proceedings of the 2nd International Conference on Estuarine and Coastal Modeling, Tampa, FL, USA, 13/11/92.

}

TY - GEN

T1 - Modified adjoint method for inverse eddy viscosity estimation for use in coastal circulation models

AU - Richardson, John

AU - Panchang, Vijay

PY - 1992

Y1 - 1992

N2 - The adjoint method is used to develop an objective analysis technique for estimating the vertical eddy viscosity used in three dimensional oceanic models. A cost functional which consists of two terms is formulated. The first term describes the difference, or lack of fit, between model results and available data. The second term measures the variance of the eddy viscosity with depth. Formulation of the cost functional is complete after coefficients (weights) are introduced to vary the relative influence of each of the terms. The ``optimized'' eddy viscosity estimate is obtained by minimizing the value of this functional. Results demonstrate the algorithm's ability to produce valid solutions to the posed problem. The smoothing term provides stability by limiting the change of the eddy viscosity in the vertical, and computer requirements are reduced with use of a ``Vertical Horizontal Splitting'' routine.

AB - The adjoint method is used to develop an objective analysis technique for estimating the vertical eddy viscosity used in three dimensional oceanic models. A cost functional which consists of two terms is formulated. The first term describes the difference, or lack of fit, between model results and available data. The second term measures the variance of the eddy viscosity with depth. Formulation of the cost functional is complete after coefficients (weights) are introduced to vary the relative influence of each of the terms. The ``optimized'' eddy viscosity estimate is obtained by minimizing the value of this functional. Results demonstrate the algorithm's ability to produce valid solutions to the posed problem. The smoothing term provides stability by limiting the change of the eddy viscosity in the vertical, and computer requirements are reduced with use of a ``Vertical Horizontal Splitting'' routine.

UR - http://www.scopus.com/inward/record.url?scp=0026698493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026698493&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0872628612

SP - 733

EP - 745

BT - Proc 2 Int Conf Estuarine Coastal Model

PB - Publ by ASCE

ER -