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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, Vol. 11, 06.02.2018, p. 521-540.

Research output: Scientific - peer-reviewArticle

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@article{a92701716bc340e88a2780092380da9f,
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 3-D systems that approach axisymmetry around a central location, computation times can be reduced by applying a 2-D axisymmetric model set-up. This article applies the Reynolds-averaged 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 the developed 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. One quantitative case study, based on an analytical solution derived for the radial expansion of a dense water layer, and two qualitative case studies demonstrate a good behaviour of the model for seepage inflows with contrasting salinities and temperatures. Four case studies with respect to double-diffusive processes in a stratified water body demonstrate that turbulent flows are not yet correctly modelled near the interfaces and that an advanced turbulence model is required.",
keywords = "axisymmetric model, CFD modelling, density-driven flow, double diffusion, double-diffusive convection, heat transport, non-hydrostatic model, numerical modelling, salt transport, salt-fingers, SWASH (Simulating WAves till SHore)",
author = "Koen Hilgersom and Marcel Zijlema and {van de Giesen}, Nick",
year = "2018",
month = "2",
doi = "10.5194/gmd-11-521-2018",
volume = "11",
pages = "521--540",
journal = "Geoscientific Model Development",
issn = "1991-959X",
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 - 2018/2/6

Y1 - 2018/2/6

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 3-D systems that approach axisymmetry around a central location, computation times can be reduced by applying a 2-D axisymmetric model set-up. This article applies the Reynolds-averaged 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 the developed 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. One quantitative case study, based on an analytical solution derived for the radial expansion of a dense water layer, and two qualitative case studies demonstrate a good behaviour of the model for seepage inflows with contrasting salinities and temperatures. Four case studies with respect to double-diffusive processes in a stratified water body demonstrate that turbulent flows are not yet correctly modelled near the interfaces and that an advanced turbulence model is required.

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 3-D systems that approach axisymmetry around a central location, computation times can be reduced by applying a 2-D axisymmetric model set-up. This article applies the Reynolds-averaged 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 the developed 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. One quantitative case study, based on an analytical solution derived for the radial expansion of a dense water layer, and two qualitative case studies demonstrate a good behaviour of the model for seepage inflows with contrasting salinities and temperatures. Four case studies with respect to double-diffusive processes in a stratified water body demonstrate that turbulent flows are not yet correctly modelled near the interfaces and that an advanced turbulence model is required.

KW - axisymmetric model

KW - CFD modelling

KW - density-driven flow

KW - double diffusion

KW - double-diffusive convection

KW - heat transport

KW - non-hydrostatic model

KW - numerical modelling

KW - salt transport

KW - salt-fingers

KW - SWASH (Simulating WAves till SHore)

UR - http://resolver.tudelft.nl/uuid:a9270171-6bc3-40e8-8a27-80092380da9f

U2 - 10.5194/gmd-11-521-2018

DO - 10.5194/gmd-11-521-2018

M3 - Article

VL - 11

SP - 521

EP - 540

JO - Geoscientific Model Development

T2 - Geoscientific Model Development

JF - Geoscientific Model Development

SN - 1991-959X

ER -

ID: 38396183