What you have drawn is an electrolytic cell, not a galvanic cell. You have an external battery driving current through the cell and forcing a chemical reaction. In a galvanic cell, a reaction in the cell generates an electric current which passes through a load (resistance) in the external circuit.
In a galvanic cell, the cathode is the positive electrode and the anode is the negative electrode.
In an electrolytic cell, the anode is the positive electrode and the cathode is the negative electrode.
But in both, oxidation takes place at the anode and reduction takes place at the cathode.