Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems

Casulli, Vincenzo; Zanolli, Paola

doi:10.1016/s0895-7177(02)00264-9

Cited by 202 publications

(163 citation statements)

References 17 publications

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“…Our analysis in the surface standing wave case found that the free surface damping and mismatch found by others are probably partly attributed to their specific treatment of the surface boundary condition for q. For example, the nonhydrostatic pressure equation in UNTRIM [Casulli, 1999;Casulli and Zanolli, 2002] is solved with an assumption that q = 0 in the computational cell nearest the free surface. This simplification is also used in many other nonhydrostatic models [e.g., Zhou and Stansby, 1999;Stansby and Zhou, 1998;Koçyigit et al, 2002;Deponti et al, 2006].…”

Section: Discussion and Summarymentioning

confidence: 84%

A nonhydrostatic version of FVCOM: 1. Validation experiments

et al. 2010

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[1] The unstructured grid finite volume coastal ocean model (FVCOM) system has been expanded to include nonhydrostatic dynamics. This addition uses the factional step method with both split mode explicit and semi-implicit schemes. The unstructured grid finite volume method, combined with a correction of the final free surface from its intermediate value with inclusion of nonhydrostatic effects, efficiently reduces numerical damping and thus ensures second-order accuracy of the solutions with local/global volume conservation. Numerical experiments have been made to fully validate the nonhydrostatic FVCOM, including surface standing and solitary waves in idealized flat-and slopingbottomed channels in homogeneous conditions, the density adjustment problem for lock exchange flow in a flat-bottomed channel, and two-layer internal solitary wave breaking on a sloping shelf. The model results agree well with the relevant analytical solutions and laboratory data. These validation experiments demonstrate that the nonhydrostatic FVCOM is capable of resolving complex nonhydrostatic dynamics in coastal and estuarine regions.

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Section: Discussion and Summarymentioning

confidence: 84%

A nonhydrostatic version of FVCOM: 1. Validation experiments

et al. 2010

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“…ADCIRC (Dietrich et al 2010), TELEMAC (Hervouet 2007;Postma and Hervouet 2007), UnTRIM (Casulli and Zanolli 2002), ELCIRC (Zhang et al 2004;Baptista et al 2005), MIKE Flexible Mesh (Sørensen 2004), SLIM (De Brye et al 2010), FVCOM (Chen and Liu 2003) and Delfin (Ham et al 2005).…”

Section: Introductionmentioning

confidence: 99%

“…D-Flow FM is based upon the successful numerical concepts of Delft3D and SOBEK1D2D and is developed in cooperation with the Delft University of Technology. The applied numerical scheme presented in this paper is based on the work of Casulli and Zanolli (2002), Stelling and Duinmeijer (2003), Ham et al (2005), Kramer and Stelling (2008) and Kleptsova et al (2009). The novelty of this approach lies in the following: (1) the grid allows polygon-shaped cells of arbitrary degree.…”

Section: Introductionmentioning

confidence: 99%

Efficient scheme for the shallow water equations on unstructured grids with application to the Continental Shelf

et al. 2011

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In this paper, a shallow-water flow solver is presented, based on the finite-volume method on unstructured grids The method is suitable for flows that occur in rivers, channels, sewer systems (1D), shallow seas, rivers, overland flow (2D), and estuaries, lakes and shelf breaks (3D). We present an outline of the numerical approach and show three 2D test cases and an application of tidal propagation on the Continental Shelf. The benefits of applying an unstructured grid were explored by creating an efficient model network that aims at keeping the number of grid cells per wavelength constant. The computational speed of our method was compared with that of WAQUA/ TRIWAQ and Delft3D (the commonly used structured shallow-flow solvers in The Netherlands), and comparable performance was found.

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“…The UnTRIM hydrodynamic model solves the governing equations for flow and transport on an orthogonal unstructured grid using the efficient and stable algorithms of Casulli and Zanolli (2002). The details of the three-dimensional Upper Klamath Lake model and its calibration and validation are provided for the years 2005 and 2006 in Wood and others (2008).…”

Section: Hydrodynamic Boundary Conditionsmentioning

confidence: 99%

Particle-tracking investigation of the retention of sucker larvae emerging from spawning grounds in Upper Klamath Lake, Oregon

Wood¹,

Wherry²,

Simon³

et al. 2014

Open-File Report

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For more information on the USGS-the Federal source for science about the Earth, its natural and living resources, natural hazards, and the environment-visit http://www.usgs.gov or call 1-888-ASK-USGS For an overview of USGS information products, including maps, imagery, and publications, visit http://www.usgs.gov/pubprodTo order this and other USGS information products, visit http://store.usgs.gov Suggested citation: Wood, T.M, Wherry, S.A., Simon, D.C., and Markle,D.F. , 2014, Particle-tracking investigation of the retention of sucker larvae emerging from spawning grounds in Upper Klamath Lake, Oregon: U.S. Geological Survey Open-File Report -1061 , 44 p., http://dx.doi.org/10.3133/ofr20141061. ISSN 2331 -1258 Any use of trade, product, or firm names is for descriptive purposes only and does not imply endorsement by the U.S. Government.Although this report is in the public domain, permission must be secured from the individual copyright owners to reproduce any copyrighted material contained within this report. Executive SummaryThis study had two objectives: (1) to use the results of an individual-based particle-tracking model of larval sucker dispersal through the Williamson River delta and Upper Klamath Lake, Oregon, to interpret field data collected throughout Upper Klamath and Agency Lakes, and (2) to use the model to investigate the retention of sucker larvae in the system as a function of Williamson River flow, wind, and lake elevation. This is a follow-up study to work reported in Wood and others (2014) in which the hydrodynamic model of Upper Klamath Lake was combined with an individual-based, particletracking model of larval fish entering the lake from spawning areas in the Williamson River. In the previous study, the performance of the model was evaluated through comparison with field data comprising larval sucker distribution collected in 2009 by The Nature Conservancy, Oregon State University (OSU), and the U.S. Geological Survey, primarily from the (at that time) recently reconnected Williamson River Delta and along the eastern shoreline of Upper Klamath Lake, surrounding the old river mouth. The previous study demonstrated that the validation of the model with field data was moderately successful and that the model was useful for describing the broad patterns of larval dispersal from the river, at least in the areas surrounding the river channel immediately downstream of the spawning areas and along the shoreline where larvae enter the lake.1 U.S. Geological Survey 2 Oregon State UniversityIn this study, field data collected by OSU throughout the main body of Upper Klamath Lake, and not just around the Williamson River Delta, were compared to model simulation results. Because the field data were collected throughout the lake, it was necessary to include in the simulations larvae spawned at eastern shoreline springs that were not included in the earlier studies. A complicating factor was that the OSU collected data throughout the main body of the lake in 2011 and 2012, after the end of severa...

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Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems

Cited by 202 publications

References 17 publications

A nonhydrostatic version of FVCOM: 1. Validation experiments

A nonhydrostatic version of FVCOM: 1. Validation experiments

Efficient scheme for the shallow water equations on unstructured grids with application to the Continental Shelf

Particle-tracking investigation of the retention of sucker larvae emerging from spawning grounds in Upper Klamath Lake, Oregon

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