Fig. 7

Illustration of the ability of our numerical method to filter out spurious high-frequency modes. The upper plots correspond to the time evolution over a cardiac cycle of \((P_v^n, |P_v^{n}-P_{\text {ar}}^{n}|_+/K_{\text {ar}}, P_\text {ar}^n)\) for three different choices of parameters for the numerical viscosity. The lower plots show the time evolution of the difference with respect to a baseline case computed with \( (\alpha , \theta ) = (1,0.75)\)