Mass Conservative Coupling Between Fluid Flow and Solute Transport

We present a coupled discretization approach for species transport in an incompressible fluid. The Navier-Stokes equations for the flow are discretized by the divergence-free Scott-Vogelius element. The convection-diffusion equation for species transport is discretized by the Voronoi finite volume method. The species concentration fulfills discrete global and local maximum principles. We report convergence results for the coupled scheme and an application of the scheme to the interpretation of limiting current measurements in an electrochemical flow cell.