### Abstract

We describe a new diabatic primitive equation model for studying regional and basin-scale ocean circulation processes. The model features coordinate transformations that efficiently incorporate moderately irregular basin geometries and large variations in bottom topography, and permits the inclusion of both thermal and wind forcing. A novel semi-spectral solution procedure, in which the vertical structure of the model variables is represented as a finite sum of user-specifiable structure functions (e.g., Chebyshev polynomials), provides faster-than-algebraic convergence of the vertical approximation scheme. Model performance is assessed on a variety of test problems drawn from coastal and large-scale oceanography including unforced, linear wave propagation in both regular and irregular geometries; non-linear flow over rough bottom topography; and eddy/mean flow interaction in a wind-driven, midlatitude ocean basin. Computational efficiency of the model is found to be comparable to other existing primitive equation ocean models despite the utilization of the higher order spectral methods.

Original language | English (US) |
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Pages (from-to) | 151-185 |

Number of pages | 35 |

Journal | Journal of Computational Physics |

Volume | 94 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1 1991 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)
- Computer Science Applications

### Cite this

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**A semi-spectral primitive equation ocean circulation model using vertical sigma and orthogonal curvilinear horizontal coordinates.** / Haidvogel, Dale; Wilkin, John; Young, Roberta.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A semi-spectral primitive equation ocean circulation model using vertical sigma and orthogonal curvilinear horizontal coordinates

AU - Haidvogel, Dale

AU - Wilkin, John

AU - Young, Roberta

PY - 1991/1/1

Y1 - 1991/1/1

N2 - We describe a new diabatic primitive equation model for studying regional and basin-scale ocean circulation processes. The model features coordinate transformations that efficiently incorporate moderately irregular basin geometries and large variations in bottom topography, and permits the inclusion of both thermal and wind forcing. A novel semi-spectral solution procedure, in which the vertical structure of the model variables is represented as a finite sum of user-specifiable structure functions (e.g., Chebyshev polynomials), provides faster-than-algebraic convergence of the vertical approximation scheme. Model performance is assessed on a variety of test problems drawn from coastal and large-scale oceanography including unforced, linear wave propagation in both regular and irregular geometries; non-linear flow over rough bottom topography; and eddy/mean flow interaction in a wind-driven, midlatitude ocean basin. Computational efficiency of the model is found to be comparable to other existing primitive equation ocean models despite the utilization of the higher order spectral methods.

AB - We describe a new diabatic primitive equation model for studying regional and basin-scale ocean circulation processes. The model features coordinate transformations that efficiently incorporate moderately irregular basin geometries and large variations in bottom topography, and permits the inclusion of both thermal and wind forcing. A novel semi-spectral solution procedure, in which the vertical structure of the model variables is represented as a finite sum of user-specifiable structure functions (e.g., Chebyshev polynomials), provides faster-than-algebraic convergence of the vertical approximation scheme. Model performance is assessed on a variety of test problems drawn from coastal and large-scale oceanography including unforced, linear wave propagation in both regular and irregular geometries; non-linear flow over rough bottom topography; and eddy/mean flow interaction in a wind-driven, midlatitude ocean basin. Computational efficiency of the model is found to be comparable to other existing primitive equation ocean models despite the utilization of the higher order spectral methods.

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U2 - 10.1016/0021-9991(91)90141-7

DO - 10.1016/0021-9991(91)90141-7

M3 - Article

AN - SCOPUS:28144448533

VL - 94

SP - 151

EP - 185

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 1

ER -