[en] The paper addresses two basic problems connected with the solution of the Navier Stokes equations: how to avoid oscillations in pressure when using elements not satisfying the L.B.B. condition, and haw to take advantage of the splitting technique in choosing a proper delta to accurately describe convection and diffusion circumventing stability restrictions. A presentation of the most significant results complements a short description of the capabilities of the MADIAN code in analyzing the physical problem relevant to the discharge of warm water from power plants together with the distinguishing aspects of the numerical method