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math.NA2024
Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines
Lianxia Li, Cole Gruninger, Jae H. Lee +1
In the class of immersed boundary (IB) methods, the choice of the delta function plays a crucial role in transferring information between fluid and solid domains. Most prior work h…
math.NA2024
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…