@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 = sep,
day = "13",
doi = "10.5194/gmd-2016-176",
language = "English",
pages = "1--21",
journal = "Geoscientific Model Development Discussions",
issn = "1991-962X",
publisher = "Copernicus",
}