Mike’s paper, Fluid-structure interaction models of bioprosthetic heart valves: Initial in vitro experimental validation, is now available on the engrXiv. This paper uses the hyperelastic immersed boundary method to simulate the dynamics of bioprosthetic heart valves (BHVs) in models of experimental pulse duplicator systems. An initial experimental validation of the models is demonstrated through comparisons to data on pressures, flow rates, and leaflet kinematics. The paper also contrasts the flow patterns and leaflet strains and stresses generated by porcine tissue and bovine pericardial BHVs.
Amin Kolahdouz’s paper, An immersed interface method for discrete surfaces, has been accepted to appear in the Journal of Computational Physics. (A preprint is available on the arXiv.) This paper develops an extension of the immersed interface method (IIM) that is specialized to discrete surface representations, such as triangulated surfaces. It also establishes through extensive numerical examples that IIMs that use only the lowest-order jump conditions (for the pressure and viscous shear stress) at immersed interfaces are able to yield global second-order convergence rates.