Experimental Report on Hemodynamic Modeling Based on AM-Modulated Constructed Solutions

This experimental report presents and implements a method for constructing analytical solutions to the Navier-Stokes equations using amplitude modulation (AM), aimed at simulating blood flow and thrombosis in vascular systems. Inspired by AM signal construction in communication systems, a steady parabolic flow profile is treated as the "carrier," while spatiotemporally localized periodic disturbances serve as the "modulating signal," forming a physically meaningful unsteady velocity field. The constructed solution naturally incorporates hemodynamic features such as Kármán vortex streets and shear rate gradients, and residual analysis reveals the limitations of the standard Navier-Stokes equations in describing localized pathological perturbations. The experiment consists of two parts: first, constructing a coupled multi-field analytical solution for platelet aggregation and vortex shedding with quad-plot visualization; second, back-calculating the momentum equation residual to extract the equivalent source term , verifying its spatial localization and physical interpretability. Results demonstrate that the AM-modulated framework effectively generates constructed solutions with both mathematical rigor and physiological plausibility, offering a new paradigm for biofluid mechanics modeling.