A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction
arXiv:2003.12046 · doi:10.1016/j.jcp.2021.110442
Abstract
This paper introduces a sharp interface method to simulate fluid-structure interaction (FSI) involving rigid bodies immersed in viscous incompressible fluids. The capabilities of this methodology are demonstrated for a range of benchmark test cases along with large-scale models of biomedical FSI. The numerical approach developed herein, which we refer to as an immersed Lagrangian-Eulerian method, integrates aspects of partitioned and immersed FSI formulations by solving separate momentum equations for the fluid and solid subdomains, as in a partitioned formulation, while also using non-conforming discretizations of the dynamic fluid and structure regions, as in an immersed formulation. A Dirichlet-Neumann coupling scheme is used, in which the motion of the immersed solid is driven by fluid traction forces evaluated along the fluid-structure interface, and the motion of the fluid along that interface is constrained to match the solid velocity and thereby satisfy the no-slip condition. To develop a practical numerical method, we adopt a penalty approach that approximately imposes the no-slip condition along the fluid-structure interface. Our fluid-structure interaction scheme relies on an immersed interface method for discrete geometries, which enables the accurate determination of both velocities and stresses along complex fluid-structure interfaces. Unlike commonly used partitioned FSI methods, which can suffer from so-called added mass effect instabilities, our methodology retains stability for test cases involving extremely small, nearly equal, equal, and large solid-fluid density ratios without requiring subiterations or complex handling of the pressure. Biomedical FSI demonstration cases are also presented including the dynamics of a bileaflet mechanical heart valve in a pulse duplicator, and transport of blood clots in a patient-averaged anatomical model of the inferior vena cava.
References in corpus (17)
- An Immersed Boundary Method with Direct Forcing for the Simulation of Particulate Flows
- Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions
- Hydrodynamics of Suspensions of Passive and Active Rigid Particles: A Rigid Multiblob Approach
- A robust incompressible Navier-Stokes solver for high density ratio multiphase flows
- An Immersed Boundary Method for Rigid Bodies
- Direct numerical simulation of particulate flows with an overset grid method
- An Immersed Interface Method for Discrete Surfaces
- A DLM immersed boundary method based wave-structure interaction solver for high density ratio multiphase flows
- A stable fluid-structure-interaction solver for low-density rigid bodies using the immersed boundary projection method
- A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions
- A stable FSI algorithm for light rigid bodies in compressible flow
- A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction
- Electrohydrodynamics of Three-Dimensional Vesicles: A Numerical Approach
- An immersed interface-lattice Boltzmann method for fluid-structure interaction
- Lubricated Immersed Boundary Method in Two Dimensions
- A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation
- A numerical model for the trans-membrane voltage of vesicles
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