The immersed boundary method
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Summary
This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics.
- Type
- article
- Published
- 2002-01-01
- Cited by
- 4,745
- References
- 70
- Access
- Open access
- OpenAlex
- https://openalex.org/W2084131634
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:53517954
Keywords
Discretization, Eulerian path, Curvilinear coordinates, Dirac delta function, Immersed boundary method
References
- Computer-assisted design of pivoting disc prosthetic mitral valves.
- Flow patterns around heart valves: a digital computer method for solving the equations of motion
- Effects of timing of atrial systole on LV filling and mitral valve closure: computer and dog studies.
- Fluid Dynamics of the Heart and its Valves
- Shared-Memory Parallel Vector Implementation of the Immersed Boundary Method for the Computation of Blood Flow in the Beating Mammalian Heart
- Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Computational Methods for Continuum Models of Platelet Aggregation
- An integrative model of internal axoneme mechanics and external fluid dynamics in ciliary beating.
- A three-dimensional computer model of the human heart for studying cardiac fluid dynamics
- A computational model of ameboid deformation and locomotion
- Analysis of Stiffness in the Immersed Boundary Method and Implications for Time-Stepping Schemes
- Sperm motility in the presence of boundaries.
- Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
- Improved Volume Conservation in the Computation of Flows with Immersed Elastic Boundaries
- Modeling Biofilm Processes Using the Immersed Boundary Method
- The Blob Projection Method for Immersed Boundary Problems
- Initial and Boundary Value Problems in Dissipative Gas Dynamics
- Truncated newton methods and the modeling of complex immersed elastic structures
- Two-Dimensional Simulations of Valveless Pumping Using the Immersed Boundary Method
- A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
Cited by
- A numerical framework for simulating fluid-structure interaction phenomena
- Simulation numérique des interactions fluide-structure dans une fistule artério-veineuse sténosée et des effets de traitements endovasculaires
- Immersed finite element method for eigenvalue problem
- A Physics-Based, Eulerian-Lagrangian Computational Modeling Framework to Predict Particle Flow and Tribological Phenomena
- A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations
- A Variational Finite Difference Method for Time-Dependent Stokes Flow on Irregular Domains
- Investigating the impact of non‐Newtonian blood models within a heart pump
- Computer Simulations of the Tumor Vasculature: Applications to Interstitial Fluid Flow, Drug Delivery, and Oxygen Supply.
- Characterization of Nanoparticle Dispersion in Red Blood Cell Suspension by the Lattice Boltzmann-Immersed Boundary Method
- Orientation and rotational diffusion of fibers in semidilute suspension
- Parallel Block Preconditioning for Multi-Physics Problems
- Deformability of red blood cells affects their velocity in deterministic lateral displacement devices
- A novel multiblock immersed boundary method enabling high order large eddy simulation of pathological and medical device hemodynamics
- Development of a NURBS-based particulate dynamics framework for modeling circulating cells
- Modèle linéaire des vibrations induites par vortex de structures élancées
- Eliminating spurious velocities with a stable approximation of incompressible two-phase flow
- The influence of inertia on the rotational dynamics of spheroidal particles suspended in shear flow
- Développement de méthodes de domaines fictifs au second ordre
- Accuracy of the Immersed Boundary Method in Fixed-Point Arithmetic
- Modélisation, analyse mathématique et applications numériques de problèmes d'interaction fluide-structure instationnaires
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