title: Modeling of the Black Sea circulation using equations of heat and salt advection–diffusion having discrete nonlinear invariants
abstract: In this work the accuracy of reconstructing the Black Sea circulation by using new approximations of nonlinear terms in the transport equations, ensuring the conservation of temperature and salinity to a power greater than two, is analyzed based on the results of forecast calculations. Three numerical experiments with differences in the schemes for calculating temperature and salinity are carried out. In the first experiment – traditional schemes are used to conserve of temperature and salinity 
journal: Известия Российской академии наук Физика атмосферы и океана