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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…
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…
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…