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Open AccessArticle

Three-Dimensional Unstructured Grid Finite-Volume Model for Coastal and Estuarine Circulation and Its Application

by 1, 2,*,†, 2 and 2
1
Korea Coastal Ocean Modeling Solutions, Uiwang 16037, Korea
2
Korea Institute of Civil Engineering and Building Technology, Goyang 10223, Korea
*
Author to whom correspondence should be addressed.
Current affiliation: Texas Water Development Board, Austin, TX 78711, USA.
Water 2020, 12(10), 2752; https://doi.org/10.3390/w12102752
Received: 9 September 2020 / Revised: 29 September 2020 / Accepted: 30 September 2020 / Published: 2 October 2020
(This article belongs to the Section Hydraulics and Hydrodynamics)
We developed a three-dimensional unstructured grid coastal and estuarine circulation model, named the General Ocean Model (GOM). Combining the finite volume and finite difference methods, GOM achieved both the exact conservation and computational efficiency. The propagation term was implemented by a semi-implicit numerical scheme, the so-called θ scheme, and the time-explicit Eulerian–Lagrangian method was used to discretize the nonlinear advection term to remove the major limitation of the time step, which appears when solving shallow water equations, by the Courant–Friedrichs–Lewy stability condition. Because the GOM uses orthogonal unstructured computational grids, allowing both triangular and quadrilateral grids, considerable flexibility to resolve complex coastal boundaries is allowed without any transformation of governing equations. The GOM was successfully verified with five analytical solutions, and it was also validated when applied to the Texas coast, showing an overall skill value of 0.951. The verification results showed that the algorithm used in GOM was correctly coded, and it is efficient and robust. View Full-Text
Keywords: finite-volume; unstructured grid; semi-implicit; Eulerian–Lagrangian Method; three-dimensional; coastal model finite-volume; unstructured grid; semi-implicit; Eulerian–Lagrangian Method; three-dimensional; coastal model
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Lee, J.; Lee, J.; Yun, S.-L.; Kim, S.-K. Three-Dimensional Unstructured Grid Finite-Volume Model for Coastal and Estuarine Circulation and Its Application. Water 2020, 12, 2752.

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