A Regional Thermohaline Inverse Method for Estimating Circulation and Mixing in the Arctic and Subpolar North Atlantic

A regional thermohaline inverse method (RTHIM) is presented that estimates velocities through the section bounding an enclosed domain and transformation rates resulting from interior mixing within the domain, given inputs of surface boundary fluxes of heat and salt and interior distributions of salinity and temperature. The method works by invoking a volumetric balance in thermohaline coordinates between the transformation resulting from mixing, surface fluxes, and advection, and constraining the mixing to be down tracer gradients. The method is validated using a 20-yr mean of outputs from the NEMO model in an Arctic and subpolar North Atlantic domain, bound to the south by a section with a mean latitude of 66 degrees N. RTHIM solutions agree well with the NEMO model truth and are robust to a range of parameters; the meridional overturning circulation (MOC), heat, and freshwater transports calculated from an ensemble of RTHIM solutions are within 12%, 10%, and 19%, respectively, of the NEMO values. There is also bulk agreement between RTHIM solution transformation rates resulting from mixing and those diagnosed from NEMO. Localized differences in diagnosed mixing may be used to guide the development of mixing parameterizations in models such as NEMO, whose downgradient diffusive closures with prescribed diffusivity may be considered oversimplified and too restrictive.