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Articles by Boyce Griffith
Mathematics > Numerical Analysis
The immersed boundary (IB) method models fluid--structure interaction using the natural Lagrangian and Eulerian formulations of structural mechanics and fluid dynamics, respectively, but explicit time discretization of the IB force imposes a stiffness-dependent upper bound on the time-step size.
Mathematics > Numerical Analysis
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Mathematics > Numerical Analysis
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
A Combined Computational Fluid Dynamics Modeling and Geometric Morphometrics Methods Approach to Quantifying Hemodynamic and Anatomical Features of Embryonic Chick Heart Anatomies Reconstructed from Light Sheet Fluorescence Microscopy Imaging
Abstract Although congenital heart defects occur in approximately 1% of newborns in the US annually, their pathogenesis remains largely unknown. Less than a third of congenital heart defects are traced a known genetic or environmental cause. It has been demonstrated that hemodynamic forces such as wall shear stress are critical for heart development.
Composite B-Spline Regularized Delta Functions for the Immersed Boundary Method: Divergence-Free Interpolation and Gradient-Preserving Force Spreading
[Submitted on 15 Aug 2024 ( v1 ), last revised 5 Feb 2025 (this version, v3)] Title:Composite B-Spline Regularized Delta Functions for the Immersed Boundary Method: Divergence-Free Interpolation and Gradient-Preserving Force Spreading View a PDF of the paper titled Composite B-Spline Regularized Delta Functions for the Immersed Boundary Method: Divergence-Free Interpolation and Gradient-Preserving Force Spreading, by Cole Gruninger and Boyce E.
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