An Immersed Boundary method with divergence-free velocity interpolation and force spreading

  title={An Immersed Boundary method with divergence-free velocity interpolation and force spreading},
  author={Yuanxun Bao and Aleksandar Donev and Boyce E. Griffith and David M. McQueen and Charles S. Peskin},
  journal={Journal of computational physics},

On the Lagrangian-Eulerian Coupling in the Immersed Finite Element/Difference Method

Immersed boundary methods for fluid-structure interaction: A review

A Fourier spectral immersed boundary method with exact translation invariance, improved boundary resolution, and a divergence-free velocity field

This paper introduces a new immersed boundary (IB) method for viscous incompressible flow, based on a Fourier spectral method for the fluid solver and on the nonuniform fast Fourier transform (NUFFT)

The reduced immersed method for real-time fluid-elastic solid interaction and contact simulation

The Reduced Immersed Method is introduced, based on a novel discretization of the immersed boundary equations of motion, that handles complex meshes and highly resolved fluids for large time steps at high framerates on off-the-shelf hardware, even in the presence of high velocities and rapid user interaction.

Topology-free immersed boundary method for incompressible turbulence flows: An aerodynamic simulation for 'dirty' CAD geometry

Thin and sharp edges bodies-fluid interaction simulation using cut-cell immersed boundary method

The new developed AMR-IBM algorithm is validated using a benchmark data of fluid past a cylinder and the results show that there is good agreement under laminar flow, confirming the robustness of the new algorithms in simulating flow characteristics in the boundary layers of thin structures.



An Immersed Interface Method for Incompressible Navier-Stokes Equations

The method developed in this paper is motivated by Peskin's immersed boundary (IB) method, and allows one to model the motion of flexible membranes or other structures immersed in viscous

On the Volume Conservation of the Immersed Boundary Method

The immersed boundary (IB) method is an approach to problems of fluid-struc- ture interaction in which an elastic structure is immersed in a viscous incompress- ible fluid. The IB formulation of such

A fast immersed boundary method for external incompressible viscous flows using lattice Green's functions

Hybrid finite difference/finite element immersed boundary method

  • B. GriffithXiaoyu Luo
  • Computer Science
    International journal for numerical methods in biomedical engineering
  • 2017
The Lagrangian‐Eulerian coupling approach developed in this work enables the effective use of these coarse structural meshes with the immersed boundary method and contrasts two different weak forms of the equations, one of which is demonstrated to be more effective for the coarse structural discretizations facilitated by the coupling approach.

The immersed boundary method

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

An immersed boundary method for rigid bodies

An efficient preconditioner is developed for this exactly constrained IB formulation which is based on an analytical approximation to the Schur complement, and it is demonstrated that only a few cycles of a geometric multigrid method for the fluid equations are required in each application of the preconditionser.

The immersed interface method for the Navier-Stokes equations with singular forces

An immersed interface method for the incompressible Navier–Stokes equations with singular forces along one or several interfaces in the solution domain is proposed based on a second-order projection method with modifications only at grid points near or on the interface.


Using this technique, these studies show that the immersed boundary method can provide reliable approximations to interfacial stresses.