Untitled

Abstract

An inverse method is developed to estimate advective surface velocities from sequential sea surface temperature (SST) data.The present method employ an advective diffusion equation of SST and the functionals in tems of advective diffusion equation and spatial curvatures of velocity components of u and v to estimate 2-D surface velocities from sequential SST data.The functionals with the spatial curvatures play an important role as a stabilizer and can detect small scale SST variations so that inverted velocity fields include the velocity components of the same scale.The numerical simulations show that inverted velocity components agree well with the target velocities when the SST data contains small scale variations.