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An axisymmetric non-hydrostatic model for double-diffusive water systems. / Hilgersom, Koen; Zijlema, Marcel; van de Giesen, Nick.

In: Geoscientific Model Development Discussions, 13.09.2016, p. 1-21.

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@article{8a22161fd8624ea58cfc70c2d6ddc93f,
title = "An axisymmetric non-hydrostatic model for double-diffusive water systems",
abstract = "The three-dimensional (3-D) modelling of water systems involving double-diffusive processes is challenging due to the large computation times required to solve the flow and transport of constituents. In systems that approach axisymmetry around a central location, computation times can be reduced by applying a quasi 3-D axisymmetric model setup. This article applies the Navier-Stokes equations described in cylindrical coordinates, and integrates them to guarantee mass and momentum conservation. The discretized equations are presented in a way that a Cartesian finite volume model can be easily extended to this quasi 3-D framework, which is demonstrated by the implementation into a non-hydrostatic free-surface flow model. This model employs temperature and salinity dependent densities, molecular diffusivities, and kinematic viscosity. Four qualitative case studies demonstrate a good behaviour with respect to expected density and diffusivity driven flow and stratification in shallow water bodies. A fifth case study involves a new validation method that quantifies the radial expansion of a dense water layer developing from a central inflow at the bottom of a shallow water body.",
keywords = "non-hydrostatic model, Hydrodynamic models, axisymmetric model, free-surface model, transport models, heat transport, salt transport, double-diffusion, double-diffusive convection",
author = "Koen Hilgersom and Marcel Zijlema and {van de Giesen}, Nick",
year = "2016",
month = "9",
day = "13",
doi = "10.5194/gmd-2016-176",
language = "English",
pages = "1--21",
journal = "Geoscientific Model Development Discussions",
issn = "1991-962X",
publisher = "Copernicus",

}

RIS

TY - JOUR

T1 - An axisymmetric non-hydrostatic model for double-diffusive water systems

AU - Hilgersom, Koen

AU - Zijlema, Marcel

AU - van de Giesen, Nick

PY - 2016/9/13

Y1 - 2016/9/13

N2 - The three-dimensional (3-D) modelling of water systems involving double-diffusive processes is challenging due to the large computation times required to solve the flow and transport of constituents. In systems that approach axisymmetry around a central location, computation times can be reduced by applying a quasi 3-D axisymmetric model setup. This article applies the Navier-Stokes equations described in cylindrical coordinates, and integrates them to guarantee mass and momentum conservation. The discretized equations are presented in a way that a Cartesian finite volume model can be easily extended to this quasi 3-D framework, which is demonstrated by the implementation into a non-hydrostatic free-surface flow model. This model employs temperature and salinity dependent densities, molecular diffusivities, and kinematic viscosity. Four qualitative case studies demonstrate a good behaviour with respect to expected density and diffusivity driven flow and stratification in shallow water bodies. A fifth case study involves a new validation method that quantifies the radial expansion of a dense water layer developing from a central inflow at the bottom of a shallow water body.

AB - The three-dimensional (3-D) modelling of water systems involving double-diffusive processes is challenging due to the large computation times required to solve the flow and transport of constituents. In systems that approach axisymmetry around a central location, computation times can be reduced by applying a quasi 3-D axisymmetric model setup. This article applies the Navier-Stokes equations described in cylindrical coordinates, and integrates them to guarantee mass and momentum conservation. The discretized equations are presented in a way that a Cartesian finite volume model can be easily extended to this quasi 3-D framework, which is demonstrated by the implementation into a non-hydrostatic free-surface flow model. This model employs temperature and salinity dependent densities, molecular diffusivities, and kinematic viscosity. Four qualitative case studies demonstrate a good behaviour with respect to expected density and diffusivity driven flow and stratification in shallow water bodies. A fifth case study involves a new validation method that quantifies the radial expansion of a dense water layer developing from a central inflow at the bottom of a shallow water body.

KW - non-hydrostatic model

KW - Hydrodynamic models

KW - axisymmetric model

KW - free-surface model

KW - transport models

KW - heat transport

KW - salt transport

KW - double-diffusion

KW - double-diffusive convection

UR - http://www.geosci-model-dev-discuss.net/gmd-2016-176/

UR - http://resolver.tudelft.nl/uuid:8a22161f-d862-4ea5-8cfc-70c2d6ddc93f

U2 - 10.5194/gmd-2016-176

DO - 10.5194/gmd-2016-176

M3 - Article

SP - 1

EP - 21

JO - Geoscientific Model Development Discussions

T2 - Geoscientific Model Development Discussions

JF - Geoscientific Model Development Discussions

SN - 1991-962X

ER -

ID: 6449475