Cardiovascular diseases (CVDs) are the leading cause of global death, accounting for 30% of all fatalities. The understanding of the hemodynamics of cardiovascular flows in vivo is important to evaluate diseases progression and the efficacy of surgical treatments. A new promising diagnostic technique for cardiovascular flow assessment is "4D flow MRI”. It overcomes the limitations associated with traditional methods, like Doppler echocardiography and 2D time-resolved phase-contrast (PC) MRI and it is capable to provide information on the temporal and spatial evolution of 3D blood flow, with complete volumetric coverage. However, noise-like errors significantly affect the accuracy of these measurements. In this context, the aim of this study is to enhance the quality of 4D flow MRI data by exploiting the physical law of the incompressibility of blood, which results in the imposition of a divergence-free condition on the flow field.