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20242026
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6 papers · 1 filter

physics.comp-ph2025

Improving the robustness of the immersed interface method through regularized velocity reconstruction

Qi Sun, Ebrahim M. Kolahdouz, Boyce E. Griffith

Robust, broadly applicable fluid-structure interaction (FSI) algorithms remain a challenge for computational mechanics. In previous work, we introduced an immersed interface method…

math.NA2025

Composite B-Spline Regularized Delta Functions for the Immersed Boundary Method: Divergence-Free Interpolation and Gradient-Preserving Force Spreading

Cole Gruninger, Boyce E. Griffith

This paper presents an approach to enhance volume conservation in the immersed boundary (IB) method by using regularized delta functions derived from composite B-splines. The conve…

physics.flu-dyn2025

Adaptive Mesh Refinement for Two-Phase Viscoelastic Fluid Mixture Models

Bindi M. Nagda, Aaron Barrett, Boyce E. Griffith +2

Multiphase flows are an important class of fluid flow and their study facilitates the development of diverse applications in industrial, natural, and biomedical systems. We conside…

math.NA2025

An Immersed Interface Method for Incompressible Flows and Geometries with Sharp Features

Michael J. Facci, Ebrahim M. Kolahdouz, Boyce E. Griffith

The immersed interface method (IIM) for models of fluid flow and fluid-structure interaction imposes jump conditions that capture stress discontinuities generated by forces that ar…

q-bio.QM2025

Sensitivity of ECG QRS Complexes to His-Purkinje Structure in Computational Heart Models

Preetam V. Tanikella, Laryssa Abdala, Karin Leiderman +2

Cardiac digital twins (CDT) are emerging as a potentially transformative tool in cardiology. A critical yet understudied determinant of CDT accuracy is the His-Purkinje system (HPS…

math.NA2025

An efficient and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids

Edward M. Terrell, Boyce E. Griffith

The choice of numerical integrator in approximating solutions to dynamic partial differential equations depends on the smallest time-scale of the problem at hand. Large-scale defor…