Since Otto Frank first introduced the Windkessel (0D) model in 1899 to reproduce the arterial network, various versions were constructed which differ through their number of elements and their disposal. The purpose of this paper is to couple the left heart model given by M. Danielsen and J.T. Ottesen to a classic three-element 0D representation of the arterial network and compare the results with the output of a 13-elements arterial model coupled with the heart. This is done in order to proof that no great benefit is gained when increasing the number of elements of the Windkessel model if the input satisfies normal physiological conditions. After confirming that the model works properly, a simulation is performed with parameters specific for a hypertensive person. The output is assessed against results specific for a normal person and the differences are further analysed.