An axisymmetric hydrodynamic modelling approach was developed and implemented for a salt and heat transport model. This data set presents the source code and several model results for test cases involving double-diffusion and density-driven flows. The axisymmetric model is built by extending the 2DV solution procedure of the SWASH hydrodynamic model, which is briefly introduced in this document. The added terms are derived in an accompanying article (Hilgersom et al., 2017; under review).