ArticleJournal of computational physics2017
An Immersed Boundary method with divergence-free velocity interpolation and force spreading.
Article in Journal of computational physics, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Composite B-spline regularized delta functions for the immersed boundary method: Divergence-free interpolation and gradient-preserving force spreading.Journal of computational physics · 2026Article
- LOCAL DIVERGENCE-FREE IMMERSED FINITE ELEMENT-DIFFERENCE METHOD USING COMPOSITE B-SPLINES.Advances in computational science and engineering · 2025Article
- Pressure boundary conditions for immersed-boundary methods.Journal of computational physics · 2024Article
- On the Lagrangian-Eulerian Coupling in the Immersed Finite Element/Difference Method.Journal of computational physics · 2022Article
- A fully resolved multiphysics model of gastric peristalsis and bolus emptying in the upper gastrointestinal tract.Computers in biology and medicine · 2022Article
- A novel interpolation-free sharp-interface immersed boundary method.Journal of computational physics · 2022Article
- Stabilization approaches for the hyperelastic immersed boundary method for problems of large-deformation incompressible elasticity.Computer methods in applied mechanics and engineering · 2020Article
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Authors and funding
5 authors.
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Abstract
The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous fluid. The IB formulation uses an Eulerian representation of the fluid and a Lagrangian representation of the structure. The Lagrangian and Eulerian frames are coupled by integral transforms with delta function kernels. The discretized IB equations use approximations to these transforms with regularized delta function kernels to interpolate the fluid velocity to the structure, and to spread structural forces to the fluid. It is well-known that the conventional IB method can suffer from poor volume conservation since the interpolated Lagrangian velocity field is not generally divergence-free, and so this can cause spurious volume changes. In practice, the lack of volume conservation is especially pronounced for cases where there are large pressure differences across thin structural boundaries. The aim of this paper is to greatly reduce the volume error of the IB method by introducing velocity-interpolation and force-spreading schemes with the properties that the interpolated velocity field in which the structure moves is at least
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