A Finite-Difference Model for 3-D Flow in Bays and Estuaries

by Peter E. Smith, U.S. Geological Survey, Sacramento, United States,
Bruce E. Larock, U.S. Geological Survey, Sacramento, United States,

Abstract: This paper describes a semi-implicit finite-difference model for the numerical solution of three-dimensional flow in bays and estuaries. The model treats the gravity wave and vertical diffusion terms in the governing equations implicitly, and other terms explicitly. The model achieves essentially second-order accurate and stable solutions in strongly nonlinear problems by using a three-time-level leapfrog-trapezoidal scheme for the time integration.

Subject Headings: Three-dimensional models | Three-dimensional flow | Finite difference method | Numerical models | Bays | Estuaries | Gravity waves | Mathematical models

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