This study focuses on simulating the flow around cylinders with circular cross-sections and NACA 0012 airfoils at low Reynolds numbers, aiming to compare hydrodynamic coefficients across the different geometries. To this end, an immersed solid finite element method is employed [1-2], validating the results by comparing them with solutions reported in the literature using other numerical techniques [3]. The effect of the angle of attack incidence on these coefficients is analyzed in detail, along with their relation to the phenomenon of vortex shedding. Additionally, both pressure distribution and viscous stresses associated with this phenomenon are examined. Besides, the tested method is used to obtain the dynamics of the vortex-induced vibration (VIV), which will be analyzed in several conditions for the airfoil, characterizing their behavior in function of conditions like stiffness, damping, mass relation respect to the fluid, and the initial angle of attack, considering non imposed conditions for the degrees of freedom of the airfoil.