Print Email Facebook Twitter An axisymmetric non-hydrostatic model for double-diffusive water systems Title An axisymmetric non-hydrostatic model for double-diffusive water systems Author Hilgersom, K.P. (TU Delft Water Resources) Zijlema, Marcel (TU Delft Environmental Fluid Mechanics) van de Giesen, N.C. (TU Delft Water Resources) Date 2016-09-13 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. Subject non-hydrostatic modelHydrodynamic modelsaxisymmetric modelfree-surface modeltransport modelsheat transportsalt transportdouble-diffusiondouble-diffusive convection To reference this document use: http://resolver.tudelft.nl/uuid:8a22161f-d862-4ea5-8cfc-70c2d6ddc93f DOI https://doi.org/10.5194/gmd-2016-176 ISSN 1991-962X Source Geoscientific Model Development Discussions, 1-21 Part of collection Institutional Repository Document type journal article Rights © 2016 K.P. Hilgersom, Marcel Zijlema, N.C. van de Giesen Files PDF gmd_2016_176.pdf 652.29 KB Close viewer /islandora/object/uuid:8a22161f-d862-4ea5-8cfc-70c2d6ddc93f/datastream/OBJ/view