Cole Gruninger’s paper entitled, Composite B-Spline Regularized Delta Functions for the Immersed Boundary Method: Divergence-Free Interpolation and Gradient-Preserving Force Spreading, has been accepted to appear in Journal of Computational Physics.
This paper introduces an immersed boundary method for fluid–structure interaction that employs composite B-spline regularized delta functions, which have been used previously to achieve pointwise divergence-free velocity reconstructions in computational fluid dynamics applications but not within immersed boundary formulations. The work is the first to demonstrate that these kernels preserve discrete gradient structure when spreading forces from a thin boundary to the background grid. This key conceptual advance explains their excellent volume conservation and shows that they achieve accuracy comparable to the nonlocal divergence-free immersed boundary (DFIB) method of Bao et al. while maintaining the locality and efficiency of the classical immersed boundary approach.
Congratulations, Cole!