A finite volume numerical approach for coastal ocean circulation studies: Comparisons with finite difference models

Chen, Changsheng; Huang, Haosheng; Beardsley, Robert C.; Liu, Hedong; Xu, Qinghai; Cowles, Geoffrey W.

doi:10.1029/2006jc003485

Cited by 223 publications

(152 citation statements)

References 59 publications

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“…In addition, as details of the F.V. code formulation are given in Chen et al (2003Chen et al ( , 2007, they will not be repeated here. Both models use time integration methods that ensure an accurate converged solution in the time domain.…”

Section: Hydrodynamic Equations and Model Formulationsmentioning

confidence: 99%

A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

2011

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An unstructured mesh tidal model of the west coast of Britain, covering the Celtic Sea and Irish Sea is used to compare tidal distributions computed with finite element (F.E.) and finite volume (F.V.) models. Both models cover an identical region, use the same mesh, and have topography and tidal boundary forcing from a finite difference model that can reproduce the tides in the region. By this means solutions from both models can be compared without any bias towards one model or another. Two dimensional calculations show that for a given friction coefficient there is more damping in the F.V. model than the F.E. model. As bottom friction coefficient is reduced the two models show comparable changes in tidal distributions. In terms of mesh resolution, calculations show that for the M2 tide the mesh is sufficiently fine to yield an accurate solution over the whole domain. However in terms of higher harmonics of the tide, in particular the M6 component, its small scale variability in near shore regions which is comparable to the mesh of the model, suggests that the mesh resolution is insufficient in the near coastal regions. Even with a finer mesh in these areas, without detailed bottom topography and a spatial varying friction depending on bed types and bed forms, which is not available, model skill would probably not be improved. In addition in the near shore region, as shown in the literature, the solution is sensitive to the form of the wetting/drying algorithm used in the model. Calculations with a three dimensional version of the F.V. model show that for a given value of k, damping is reduced compared to the two dimensional version due to the differences in bed stress formulation, with the three dimensional model yielding an accurate tidal distribution over the region. (1) Description of models slightly enhanced. As a detailed description is given in published papers, these are cited, as we do not wish to repeat information. In addition since a functional form of the solution is given over each finite element or finite volume this can be used to interpolate solutions (e.g. water elevations) to any location. This point made in text. (2) It is made clear that the staircase representation of the coastline only relates to a certain class of finite difference model. (3) The k-0.003 calculations are mentioned "early on". (4) Possibility of lack of mesh resolution influencing solution of higher harmonics is discussed in context of the fact that this could also be influenced by "wetting and drying". Additional references added. (5) Abstract rephrased to suggest this, rather than claim that it has been shown. Similar in text. (6) Elaborated to show that in the near short region the amplitude of the higher harmonics changes very rapidly from one mesh element to another. A sure sign of a lack of spatial convergence. The confusion between temporal convergence, where iteration ensures that a converged solution does occur and spatial convergence is now clarified. (7) The realistic nature of these coefficients is c...

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Section: Hydrodynamic Equations and Model Formulationsmentioning

confidence: 99%

A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

2011

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“…The FVCOM model is an unstructured grid, finite-volume, 3-dimensional primitive equation ocean model (Chen et al, 2007). It was originally developed to provide a geometrically flexible but computationally efficient ocean model.…”

Section: Methodology a Numerical Modelmentioning

confidence: 99%

Sensitivity of the Simulated Kingston Basin—Lake Ontario Summer Temperature Profile using FVCOM

2013

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Using an unstructured grid finite volume model (Finite Volume Coastal Ocean Model (FVCOM)), numerical model simulations were generated and compared for the 2006 summer hydrography of the Lake Ontario-Kingston Basin system. Simulations are forced with surface forcing from two different sources: observations collected by Environment Canada and output generated by the North American Regional Reanalysis (NARR). Simulated temperatures are compared with observations collected during the same time period to assess the viability of the NARR dataset as a source of long-term surface forcing fluxes. Root mean square errors for vertical temperature profiles, comparisons to lake surface temperatures, and Kingston Basin current observations, indicate that using NARR data to force an FVCOM model simulates the hydrography as well as simulations forced with in situ observations. RÉSUMÉ [Traduit par la rédaction] À l'aide d'un modèle aux volumes finis à grille non structurée (Finite Volume Coastal Ocean Model (FVCOM)), nous avons généré et comparé des simulations par modèle numérique pour l'hydrographie de l'été 2006 du système lac Ontario -bassin Kingston. Les simulations sont forcées par un forçage en surface provenant de deux sources différentes : les observations recueillies par Environnement Canada et la sortie produite par le NARR (North American Regional Reanalysis). Nous comparons les températures simulées avec les observations recueillies durant la même période pour évaluer la viabilité de l'ensemble de données NARR en tant que source de flux de forçage en surface à long terme. Les erreurs-types pour les profils verticaux de température, les comparaisons avec les températures de surface du lac et les observations du courant dans le bassin Kingston indiquent que l'utilisation des données NARR pour forcer un modèle FVCOM simule l'hydrographie aussi bien que les simulation forcées par des observations in situ.

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“…The hydrodynamic model used in this study is FVCOM (Finite Volume Community 392 Ocean Model) [Chen et al, 2007]. FVCOM is an unstructured-grid, finite-volume, three-393 dimensional (3-D) primitive equation ocean model with a generalized, terrain-following 394 coordinate system in the vertical and a triangular mesh in the horizontal.…”

Section: Hydrodynamic Model 391mentioning

confidence: 99%

A Hybrid Lagrangian-Eulerian Particle Model for Ecosystem Simulation

Xue¹,

Schwab²,

Zhang³

et al. 2018

Preprint

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45Current numerical methods for simulating biophysical processes in aquatic environments 46 are typically constructed in a grid-based Eulerian framework using the advection-47 diffusion equation for physical transport with source and sink terms describing biological 48 processes. Often, the biogeochemical processes and physical (hydrodynamic) processes 49 occur at different time and space scales, and changes in biological processes do not affect 50 the hydrodynamic conditions. Therefore, it is possible to develop an alternative strategy 51 to grid-based approaches for linking hydrodynamic and biogeochemical models that can 52 significantly improve computational efficiency for this type of linked biophysical model. 53In this work, we utilize a new technique which links hydrodynamic effects and biological 54 processes through a property-carrying particle model (PCPM) in a Lagrangian/Eulerian 55 framework. The model is tested in idealized cases and its utility is demonstrated in a 56 practical application to Sandusky Bay. Results show the integration of Lagrangian and 57Eulerian approaches allows for a natural coupling of mass transport (represented by 58 particle movements and random walk) and biological processes in water columns which 59 is described by a nutrient-phytoplankton-zooplankton-detritus (

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A finite volume numerical approach for coastal ocean circulation studies: Comparisons with finite difference models

Cited by 223 publications

References 59 publications

A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

Sensitivity of the Simulated Kingston Basin—Lake Ontario Summer Temperature Profile using FVCOM

A Hybrid Lagrangian-Eulerian Particle Model for Ecosystem Simulation

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