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.

Congratulations, Amin!

Charles’ paper, A sharp interface method for an immersed viscoelastic solid, is now available on the arXiv. This paper develops an extension of the hyperelastic immersed boundary method that sharply resolves pressure discontinuities at fluid-structure interfaces by modifying the definition of the elastic stress tensor associated with the hyperelastic material response. Unlike most other sharp-interface immersed boundary methods, however, this approach allows us to use standard discretization methods that are “oblivious” to the presence of the pressure discontinuity. Numerical tests show the impact of the method on the accuracy of the overall scheme, and an approach is developed that allows us to compute the splitting efficiently.

Amin’s paper, An immersed interface method for faceted surfaces, is now available on the arXiv. This paper develops an extension of the immersed interface method (IIM) that is specialized to faceted surfaces (arising, for instance, from finite element structural models). 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.

Ben’s paper, Stabilization approaches for the hyperelastic immersed boundary method for problems of large-deformation incompressible elasticity, is now available on the arXiv. We propose a simple stabilization that resembles approaches from nearly incompressible solid mechanics to improve the volume conservation of the immersed boundary method, as demonstrated by its performance in widely used benchmark problems of incompressible hyperelasticity adapted from the solid mechanics literature.

Simone Rossi’s paper on modeling electrical impulse propagation in the atria has been accepted for publication! The citation is:

S. Rossi, S. Gaeta, B.E. Griffith, and C.S. Henriquez. Muscle Thickness and Curvature Influence Atrial Conduction Velocities. Frontiers in Physiology. Accepted for publication

Congratulations, Simone!

Simone Rossi’s paper on extending the mondomain and bidomain models describing excitation propagation in cardiac muscle has been accepted for publication!

S. Rossi and B. E. Griffith. Incorporating inductances in tissue-scale models of cardiac electrophysiology. Chaos. Accepted for publication

Congratulations, Simone!

Ali Hasan’s paper from his undergraduate thesis work on image-based modeling of the aortic root has been accepted for publication!

A. Hasan, E. M. Kolahdouz, A. Enquobahrie, T. G. Caranasos, J. P. Vavalle, and B. E. Griffith. Image-based immersed boundary model of the aortic root. Med Eng Phys. Accepted for publication

Congratulations, Ali!