Fluid–structure interaction
Vessels are compliant and the tissue around them moves. Treating either as rigid changes the answer; solving both directly is expensive enough to stop the study.
Multi-fidelity coupling
We couple a one-dimensional deformable blood flow model to the three-dimensional Cauchy equation of motion for the surrounding tissue. Flow is resolved where it varies along the vessel; deformation is resolved where it varies through the tissue. Neither domain carries resolution the other does not need.
Against full three-dimensional fluid–structure interaction the scheme holds flow-rate error under one percent and pressure error under two percent, while running 9 to 46 times faster. A full pulsatile cycle takes 457 seconds on a simplified geometry and 42 minutes on a subject-specific one, which is what turns a single demonstration into a parametric study.
Wall stress without the full solve
For questions where only the solid response matters — wall stress in an aneurysm, for instance — a snapshot-based coupling estimates stress under pulsatile hemodynamics without carrying the coupled solve through every timestep.
Selected work
Annals of Biomedical Engineering
Efficient estimation of vessel wall stress under pulsatile hemodynamics via a snapshot-based coupling framework
Computer Methods and Programs in Biomedicine